The product of two consecutive even numbers is 15128. find the average of these two numbers.

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Consecutive Even Numbers:
Consecutive Odd Numbers:
Consecutive Even and Odd Integers:

Explanation

Let the first even number be 'x'

Then, second even number is (x+2)

And, x(x+2)=9408

or x²+2x-9408=0 [by splitting the middle term]

⇒ x²+98x-96x-9408=0

⇒ x(x-96)+98(x-96)=0

⇒ (x+98)+(x-96)=0

⇒ x=96

∴ The greater number is 98.

Hence, Option B is correct.

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Arithmetics

Discussion

Explanation

Let the first even number be 'x'

Then, second even number is (x+2)

And, x(x+2)=6888

or x²+2x=6888

⇒ x²+84x-82x-6888=0 [by splitting the middle term]

⇒ x(x-82)+84(x-82)=0

⇒ (x+84)(x-82)=0

⇒ x=82

and second number is 84.

∴ Greater number is 84.

Hence, Option E is correct.

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Arithmetics

Discussion

Explanation

Let the first odd number be 'x'

Then, Second odd number is 'y'

Then, x+y=38 ---Eq(1)

And x×y=325

(x-y)²=(x+y)²-4xy

(x-y)²⇒ (38)²-4×325

(x-y)²⇒ 1444-1300

x-y⇒ √144

or x-y=12 ---Eq(2)

By solving Eq(1) and Eq(2), we get

⇒ 2x=50

⇒ x=25, y=13

∴ Required number =3×25=75

Hence, Option B is correct.

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Arithmetics

Discussion

Explanation

Let the first odd number be 'x'

Second odd number is x+2

Third odd number is x-2

Fourth Odd number is x+4

Now, x+x+2+x-2+x+4=4×36

or 4x+4=4×36

⇒ x+1=36

⇒ x=35

∴ smallet odd number is (x-2)=0

⇒ (35-2)=33.

Hence, Option E is correct.

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Arithmetics

Discussion

Explanation

Let the five consecutive odd numbers be x, x-2, x-4, x+2 and x+4

And,

⇒ x+x+2+x-2+x+4+x-4=575

⇒ 5x=575

⇒ x=115

So, from this, five odd numbers are 111, 113, 115, 117, 119.

By this, we cannot determine the next set of odd numbers.

Hence Option D is correct.

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Discussion

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Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.

For example:

1, 2, 3, 4, 5, 6, and so on are consecutive numbers.

Consecutive Even Numbers:

Even numbers are numbers that end with 0, 2, 4, 6 or 8. The examples of consecutive even numbers are:0, 2, 4, 6, 8, 10, 12, ….

Consecutive Odd Numbers:

Odd numbers are numbers that end with 1, 3, 5, 7 or 9. The examples of consecutive odd numbers are:1, 3, 5, 7, 9, 11, 13, 15, ….

Consecutive Even and Odd Integers:

We can also have consecutive even and odd integers.

Example: Consecutive Even Integers: – 8, –6, –4, –2, 0, 2, 4, 6, …..

Example: Consecutive Odd Integers: –9, –7, –5, –3, –1, 1, 3, 5, 7, ….The term consecutive numbers is often used to frame word problems.

Example: The sum of two consecutive numbers is 55. What are the numbers?

Here, let the first number be a. Since the numbers are consecutive, the other number will be a + 1

We now form an equation as per the given information:

Sum of the numbers = 55 = a + a + 1

We should choose the numbers such that their sum is 55.

26 is nearly half of 55.

Let the two number be 26 and 27;

26 + 27 = 53 ✘

So, the two numbers are not 26 and 27.

Let us choose the next number, 28. So, the two numbers are 27 and 28.

27 + 28 = 55 ✓Therefore, the numbers are 27 and 28.

Example: The product of two consecutive odd numbers is 143. What are the numbers?

We should choose the numbers whose product is nearly 143.

We know that 12 × 12 = 144

But, 12 is an even number.

Consecutive odd numbers near 12 are 11 and 13.

Let us find their product; 11 × 13 = 143 ✓Therefore, the numbers are 11 and 13.

Fun Facts
– The sum of any two consecutive numbers is always odd. Example, 4 + 5 = 9; –8 + (–7) = –15.

Number System Questions: Solved 444 Number System Questions and answers section with explanation for various online exam preparation, various interviews, Aptitude Category online test. Category Questions section with detailed description, explanation will help you to master the topic.

441. The difference between a two digit number and the number obtained by interchanging two digits of the number is 9.The sum of the two digits of the number is 15. What is product of the two digits of two digit number ?

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Correct Ans:56

Explanation:

Sum of the digits is 15, this can happen only when the digits are 7 and 8. The number is 87, interchanging digits we get 78, Difference between these two numbers = 9 Product of these two digits = 7 x 8 = 56

442. The product of two consecutive even numbers is 15128. Find the average of these two numbers.

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Correct Ans:123

Explanation:

We wil go from the option. We will eliminate 133 and 139, since their product will exceed 16900. Now the tug of war is between 123 and 127. Lets take 123, if 123 is the average then the consecutive even numbers will be 122 and 124. Now, observe, 122 x 124 = ....8, that is the resulting number ends with 8. Now you try for 127. (HINT : The consecutive even number with 127 as average us 126 and 128) The two numbers are 122 and 124. Average is 123.

443. What is the least number to be added with 2016 to make it perfect square?

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Correct Ans:9

Explanation:

452 = 2025, If we add 9 with 2016 we get 2025.

444. When all students in a school are made to stand in a row of 54, 30 such rows are formed. If the students are made to stand in the rows of 45, how many such rows can be formed ?

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Correct Ans:36

Explanation:

Given number of rows = 54, each row contains 30 students. Total number of students = 54 x 30. If there are 45 and k rows, then 45 x k = 54 x 30 Dividing both sides by 9, we get 5 x k = 6 x 30 => k 36

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Page 2

21. A number 18567332145x is divisible by 8. What can be the minimum value of x?

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Correct Ans:6

Explanation:

A number 18567332145x is divisible by 8. What can be the minimum value of xReference :For a number to be divisible by 8; its last 3 digits should be divisible by 8-----> So (45x) is divisible by 8------> Thus x = 6 is the correct answerHence the correct answer is x = 6

22. A fraction becomes (1/3) when 1 is subtracted from both the numerator and the denominator. The same fraction becomes (Â½) when 1 is added to both numerator and the denominator the sum of numerator and denominator of the fraction is"“

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Correct Ans:10

Explanation:

Let fraction be (x/y)-----> Then,((x-1)/(y-1)) = (1/3) -----> Or, 3x â€“ 3 = y â€“ 1 -----> 3x â€“ y = 2 â€¦â€¦â€¦â€¦..(i) -----> Again, ((x+1)/(y+1)) = (1/2)-----> 2x + 2 = y + 1 -----> 2x â€“ y = â€“1 â€¦â€¦â€¦..(ii) -----> On solving eqn (i) and (ii) -----> x = 3, y = 7 -----> Sum of numerator and denominator of the fraction -----> = 3 + 7 = 10.Hence the answer is : 10

23. If the sum of three odd natural numbers is 357, each of the number is divisible by 7. which one of the following is the largest number?

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Correct Ans:133

Explanation:

If the sum of three odd natural numbers is 357, each of the number is divisible by 7. which one of the following is the largest number Reference : Let the number be (x, x+14,x+28) -----> x+x+14+x+28 = 357 -----> 3x + 42 = 357 -----> 3x = 315 -----> x =105 -----> Required, -----> x +28 = 105 +28 = 133 Hence the answer is : 133

24. The arithmetic mean of two numbers is 30 and their geometric mean is 24. What is the value of larger number?

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Correct Ans:48

Explanation:

The arithmetic mean of two numbers is 30 and their geometric mean is 24. What is the value of larger numberReference :Let the numbers to be â€˜aâ€™ & â€˜bâ€™.Arithmetic mean of the numbers = ((a+b)/2)Geometric mean of the numbers = √abAccording to the question:----> [(a+b)/2] = 30----> (a+b) = 60----> And----> √(ab) = 24----> ab = 576Solving both equations:----> a(60-a) = 576----> 60a â€“ a2 = 576----> a2 â€“ 60a + 576 = 0----> a2 â€“ 48a - 12a + 576 = 0----> a(a-48)-12(a-48) = 0----> (a-12)(a-48) = 0----> a = 12, 48Hence larger number is = 48

25. The greatest among the numbers 3√2, 3√7, 6√5, 2√20 is

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Correct Ans:6√5

Explanation:

WKT, √2 = 1.4 √7 = 2.6 √5 = 2.2 3√2 = 3 x 1.4 = 4.2 3√7 = 3x 2.6 = 7.8 6√5 = 6 x 2.2 = 13.2 2√20 = 2 x 2√5 = 4√5 = 4 x 2.2 = 8.8 Hence, 6√5 is greatest.

26. What is the least value of K so that the number 6735K1 is divisible by 9?

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Correct Ans:5

Explanation:

Given: 6735K1 6 + 7 + 3 + 5 + K + 1 = 22 + K Here, the least number K should be greater than 22 and divisible by 9. Therefore, the least number is27. 27 = 22 + K K = 5

27. A 4-digit number is formed by repeating a 2-digit number such as 2525, 3232, etc., Any number of this form is always exactly divisible by

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Correct Ans:Smallest 3-digit prime number

Explanation:

Let the unit digit be x and ten's digit be y.Number = 1000y + 100x + 10y + x= 1010y + 101x= 101(10y + x)Hence, this number is divisible by 101, which is the smallest three-digit prime number.

28. In a zoo there are rabbits and pigeons. If their heads are counted, they are 90 while their legs are 224. Find the number of pigeons in the zoo?

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Correct Ans:68

Explanation:

Let number of pigeons be 'X'.Number of rabbits and pigeons = 90Therefore, number of rabbits = 90 - XAccording to the question,2X + 4(90 - X) = 2242X + 360 - 4X = 224360 - 224 = 2X136 = 2XX = 68Hence, there are 68 pigeons in the zoo.

29. Five-eight of three-tenth of four-ninth of a number is 60. What is the number?

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Correct Ans:720

Explanation:

Let the number be Y.(5/8)x(3/10)x(4/9)x Y = 60Y = 60 x (8/5) x (10/3) x (9/4)Y = 720

30. What is the sum of first 12 terms of an arithmetic progression, if the first term is -19 and the last term is 36?

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Correct Ans:102

Explanation:

Given: First term, a = -19; Last term, an = 36; n =12WKT, Required sum = (n/2)[a + an]= (12/2)[(-19 + 36)]= 102

31. The sum of three consecutive odd numbers is 20 more than the smallest number. What is the middle number?

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Correct Ans:9

Explanation:

Let the three consecutive odd numbers be x, x + 2, x + 4.As per the question,x + x + 2 + x + 4 = x + 203x + 6 = x + 203x - x = 20 - 62x = 14x = 7Therefore, three odd numbers are 7, 9, 13 and the middle number is 9.

32. The 4th and 7th term of an arithmetic progression are 11 and -4, respectively. What is the 15th term?

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Correct Ans:-44

Explanation:

WKT, aâ‚™ = a + (n - 1)dwhere a - first term; d - differenceGiven 4th term of AP is 11,a + (4 - 1)d = 11a + 3d = 11 .....(1)Also given that 7th term of AP is -4,a + (7 - 1)d = -4a + 6d = -4 .....(2)On solving (1) and (2),a = 26; d = -5Therefore, 15th term = a + (15 - 1)d= 26 + 14(-5)= 26 - 70= -44

33. What is the 507th term of the sequence 1, -1, 2, -2, 1, -1, 2, -2, 1,...........?

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Correct Ans:2

Explanation:

Given sequence: 1, -1, 2, -2, 1, -1, 2, -2, 1,....... From the sequence it is clear that repetition take place for each set of four terms. Hence, remainder of 507/4 = 3. In the given sequence, we know that four terms are repeated again and again. In that 3rd term is 2. Therefore, 507th term is 2.

34. What number must be subtracted from both the numerator and the denominator of the fraction 27/35 so that it becomes 2/3?

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Correct Ans:11

Explanation:

Let the number be 'X'.(27 - X)/(35 - X) = 2/33(27 - X) = 2(35 - X)81 - 3X = 70 - 2X81 - 70 = 3X - 2XX = 11

35. Sum of a fraction and thrice its reciprocal is 31/6. What is the fraction?

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Correct Ans:9/2

Explanation:

Let the fraction be x/1. Accoroding to the question, (x/1) + 3(1/x) = 31/6 (x2) + 3)/x = 31/6 6x2 + 18 = 31x 6x2 -31x + 81 = 0 6x2 -4x - 27x + 18 = 0 2x(3x - 2) - 9(3x -2) = 0 (2x - 9) (3x - 2) = 0 x = 9/2, 2/3 From the options, 9/2 is the correct answer.

36. Which one of the following is the minimum value of the sum of two integers whose product is 24?

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Correct Ans:10

Explanation:

Let the two integers be 'x' and 'y'.Given: Product of two integers, xy = 24The possible integers are (1, 24) or (2, 12) or (3, 8) or (4, 6)Therefore, mininmum value of (x + y) = 4 + 6 = 10.

37. A man plants 5184 orange trees in his garden and arrange them,so that there are as many rows as there are orange trees in a row. How many rows are there in the garden?

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Correct Ans:72

Explanation:

Given, number of rows and columns of trees are same.So, let the number of rows and columns be 'Y'.As per the question,Y x Y = 5184Y2 = 5184Y = 72 rows.

38. In a division problem, the divisor is 4 times the quotient and 3 times the remainder. If remainder is 4, then the dividend is

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Correct Ans:40

Explanation:

Given: Remainder = 4As per the question,Divisor = 3 x Remainder = 3 x 4 = 12Also, Divisor = 4 x Quotient12 = 4 x QuotientQuotient = 12/4Quotient = 3WKT, Dividend = Quotient x Divisor + RemainderDividend = 3 x 12 + 4 Dividend = 40.

39. The first term of an Arithmetic Progression is 22 and the last term is 11. If the sum is 66, the number of terms in the sequences are

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Correct Ans:12

Explanation:

Given: s - 66, a - 22, l - 11 The sum of Arithmetic Progression is given by s = (n/2)(a + l) 66 = (n/2)(22 - 11) 66 = (n/2)(11) n = (66 x 2)/11 n = 12

40. Find the number lying between 900 and 1000 which when divided by 38 and 57 leaves in each case a remainder 23.

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Correct Ans:935

Explanation:

Here, LCM of 38 and 57 is 114.Where 114 is divisible by both 38 and 57.Therefore, the required number is multiple of 114.Number divisible by 114 between 900 and 1000 is 912. Required number = 912 + 23 = 935.

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Page 3

41. A student was asked to divide a number by 6 and add 12 to the quotient. He, however, first added 12 to the number and the divided it by 6, getting 112 as the answer. The correct answer should have been

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Correct Ans:122

Explanation:

Let the number be X.When first added 12 to the number and then divide by 6, the answer is 112.(X + 12)/6 = 112(X + 12) = 672X = 672 - 12X = 660Therefore, when number is first divided by 6 and added by 12 we get,= (660/6) + 12= 110 + 12= 122.

42. A number when divided by 136, leaves remainder 36. If the same number is divided by 17, the remainder will be

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Correct Ans:2

Explanation:

If the first divisor be a multiple of the second divisor, then required number = Remainder obtained by dividing the first remainder by the second divisor.Since, 17 is a factor of 136.Therefore, 36 divided by 17 is 2.

43. The smallest number in the set of five consecutive even numbers is 1 more than the largest number in the set of six consecutive odd numbers. What is the difference between the square of the second largest even number and the square of the second smallest odd number, if the sum of the smallest odd number and second smallest even number is 75?

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Correct Ans:1215

Explanation:

Let us take five consecutive even numbers x, x+2, x+4, x+6, x+8 and six consecutive odd numbers y, y +4, y +6, y +8, y+10Given, X-y=llâ€”(l) Simplify the above equation (I) and (2), we get x=42 Required difference = (482-332)=1215

44. If 3 is added to the numerator while 1 is subtracted to the denominator ratio becomes 5 : 4 while if one is added to the denominator and 5 is subtracted from the numerator the ratio becomes 2 : 3. What is the original fraction?

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Correct Ans:17/17

Explanation:

Assume the fraction = a/b Condition 1: 3 is added to the numerator while 1 is subtracted to the denominator ratio becomes 5 : 4 (a+3)/(b-1) = 5/4 4a - 5b = -17 Condition 2: 1 is added to the denominator and 5 is subtracted from the numerator the ratio becomes 2 : 3 (a+1)/(b-5) = 2/3 3a - 2b = 17 solving both the equation a = b = 17 Fraction = 17/17

45. 1/10 of a rod is coloured red, 1/20 orange, 1/30 yellow, 1/40 green, 1/50 blue, 1/60 black and the rest is violet. If the length of the violet portion of the rod is 12.08 m, then the length of the rod is __________.

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Correct Ans:16 m

Explanation:

Assume the total parts as 1 Other colours + Violet = 1 1 - (1/10 + 1/20 + 1/30 + 1/40 + 1/50 + 1/60) = Violet 1 - (49/200) = Violet 151/200 parts is Violet It is given that the length of the violet portion of the rod is 12.08 m Let the length of the rod be L, Therefore, 151 * L/200 = 12.08 L = 200 * 12.08/151 = 16 m Length of the rod = 16 m

46. A fraction having denominator 30 and lying between 5/8 and 7/11 is ________.

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Correct Ans:19/30

Explanation:

Now, when the 5/8 is simplified we get, 5/8= 0.625 (approximately 0.63) Similarly, 7/11 = 0.63 Now considering the options, 21/30 = 0.7 20/30 = 0.67 19/30 = 0.63 18/30 = 0.6 So, a fraction that lies between 5/8 and 7/11 is 19/30

47. A fraction becomes 1/3, when 1 is subtracted from both the numerator and the denominator. The same fraction becomes 1/2, when 1 is added to both the numerator and the denominator. The sum of numerator and denominator of the fraction is __________.

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Correct Ans:10

Explanation:

Let the original fraction be x/y It is given that, (x-1)/(y-1)=1/3 = 3x â€“ 3 = y â€“ 1 = 3x â€“ y = 2 ----------(1) It is also given that, (x+1)/(y+1)=1/2 = 2x + 2 = y + 1 = 2x â€“ y = -1 ----------(2) On subtracting equation (2) from equation (1), we get (3x â€“ y) â€“ (2x â€“ y) = 2 â€“ (-1) = 3x â€“ 2x = 3 = x = 3 Replacing the value of x in equation (1), we get 3x â€“ y = z = 9 â€“ y = 2 y = 9 â€“ 2 = 7 âˆ´ Sum of numerator and denominator = x + y = 7 + 3 = 10

48. When two numbers are respectively divided by 33, the remainders are 21 and 28 respectively. If the sum of the two numbers is divided by 33, the remainder will be?

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Correct Ans:16

Explanation:

The numbers will be in the form of 1st number = 33a + 21 2nd number = 33b + 28 Sum of two numbers = 33a + 21 + 33b + 28 = 33(a + b) + 49 So, irrespective of value a and b, 33(a + b) will always be divisible by 33. So the remaining 49 is left. When 49 is divided by 33, we get 16 as remainder. Therefore, sum of two numbers divided by 33, we get 16 as a remainder.

49. (12 + 22 + 32+ ………… + 102) is equal to how much?

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Correct Ans:385

Explanation:

12 + 22 + 32 +...+ n2 = [n*(n+1)*(2n+1)]/6 Here, n =10 = [10*(10+1)*(2(10)+1)]/6 = [10*11*21]/6 = 2310/6 = 385.

50. If in a three-digit number the last two digits places are interchanged, a new number is formed which is greater than the original number by 45. What is the difference between the last two digits of that number?

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Correct Ans:5

Explanation:

Let the three digit number, xyz = 100x + 10y + z When position of second and third digit interchanged, xzy = 100x + 10z + y According to the question, xyz - xzy = 45 (100x + 10y + z) - (100x + 10z + y) = 45 100x + 10y + z - 100x - 10z - y = 45 9y - 9z = 45 y - z = 5 Therefore, difference between last two digit of that number is 5.

51. If 1/6 th of wall is painted blue, 1/3rd is painted yellow and remaining 9m is painted white, what is the length of the wall?

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Correct Ans:18m

Explanation:

Given: 1/6 th part painted in blue and 1/3 rd part painted in yellow.Remaining part painted in white = 9mRemaining part of the wall = 1 - (1/6 + 1/3)= 1- [(1+2)/6]= 1 - (3/6)= 1 - 1/2= 1/2Therefore, remaining 1/2 part painted in white which is 9m.So, Length of the wall = 9 + 9 = 18m.

52. What is the sum of all natural numbers between 100 and 400 which are divisible by 13?

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Correct Ans:5681

Explanation:

The first number divisible by 13 between 100 and 400 = 104The last number divisible by 13 between 100 and 400 = 390WKT, nth term = a + (n -1 )dWhere, a = first term, d - common differenceHere, nth term = 390; a = 104; d =13390 = 104 + (n - 1)13(390 - 104)/13 = n - 1286/13 = n - 122 = n - 1n = 23

53. What is the unit digit of the sum of first 131 whole numbers?

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Correct Ans:5

Explanation:

Given: Sum of first 130 numbers= 1 + 2 + 3 + ....... + 130 WKT, 1 + 2 + 3 + ......+ n = n(n + 1)/2 Here, n = 130 The sum of first 130 numbers = 130(130 + 1)/2 = 130(131)/2 = 8515 Therefore, unit digit of the sum of first 131 whole numbers is 5.

54. Find three consecutive numbers such that twice the first, three times the second and four times the third together make 191.

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Correct Ans:20, 21, 22

Explanation:

Let x, x + 1, x + 2 are three consecutive numbers. Given that 2x + 3(x + 1) + 4(x + 2) = 1912x + 3x + 3 + 4x + 8 = 1919x = 191 - 119x = 180x = 20Therefore, three consecutive numbers = 20, (20 + 1), (20 + 2)= 20,21, 22.

55. The sum of two numbers is 150. If one fourth of first number is 5 more than the one sixth part of the other number, find the smaller number.

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Correct Ans:72

Explanation:

Let the first number be x. Therefore, second number be (150 - x). According to the question, 1/4 th of first number = 5 more than 1/6 th of second number x/4 = [(150 - x)/6] + 5 x/4 = (150 - x + 30)/6 x/4 = (180 - x)/6 6x = 720 - 4x 6x + 4x = 720 10x = 720 x = 72 Second number = 150 - 72 = 78 Therefore, smallest number is 72.

56. A number when divided by 91 gives remainder 17. When the same number is divided by 13, the remainder will be:

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Correct Ans:4

Explanation:

X is a number Given that, When X is divided by 91 gives remainder 17 So, X = 91 + 17 = 108 108 divided by 91 leaves 17 as remainder 108 / 13 = 4 âˆ´ The remainder is 4

57. Which of the numbers given below is not a square number?

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Correct Ans:2525

Explanation:

1225 = 35*352025 = 45*454225 = 65*65Here, 2525 is not the square number.

58. What is the sum of the first 12 terms of an arithmetic progession, if the first term is 3 and the last term is 47?

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Correct Ans:300

Explanation:

Given: a = 3, an = 47 Therefore, required sum = (n/2)[a + an] = (12/2)[3 + 47] = 6 * 50 = 300 Therefore, sum of first 12 terms is 300.

59. The second lowest number of five consecutive odd number series is four more than the 5/12th of the third highest number of a five consecutive even number series. If the average of five consecutive even number series is 60, then find the difference between the highest number of both the series?

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Correct Ans:29

Explanation:

Let five consecutive even number series = a, (a+2), (a+4), (a+6), (a+8) Let five consecutive odd number series = b, (b+2), (b+4), (b+6), (b+8) Given, average of five consecutive even number series = 60 [a + (a+2) + (a+4) + (a+6) + (a+8)]/5 = 60 5a + 20 = 300 a = 56 Third highest number of even number series = (a+4) = 56 + 4 = 60 Second lowest number of odd number series = Four more than the 5/12th of the third highest number of even number series = [(5/12)*60] + 4 = 29 Highest number of even number series = (a+8) = 56 + 8 = 64 Highest number of odd number series = (b+8) = (second lowest -2) + 8 = (29 - 2) + 8 = 35 Required difference = 64 - 35 = 29

60. If the arithmetic mean of 3a and 4b is greater than 50, and a is twice of b, then the smallest possible integer value of a is:

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Correct Ans:21

Explanation:

Given that, a is twice of b. Letâ€™s take b = x and a = 2x According to the question, (3a + 4b)/2 > 50 3a + 4b > 100 3(2x) + 4(x) > 100 6x + 4x > 100 10x > 100 x > 10 Multiplying 2 on both sides, 2x > 20 a > 20 (Since, 2x = a ) Therefore, the smallest possible integer value of a is 21.

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Page 4

61. In an examination, Rakesh scored 52% marks and failed by 23 marks. In the same examination, Radhika scored 64% marks and get 34 marks more than the passing marks. What is the score of Mohan in the same examination, who secured 84% marks?

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Correct Ans:399

Explanation:

According to the question, passing marks are equal so, 52% of total marks + 23 = 64% of total marks - 34 23 + 34 = (64 -52)% of total marks 57 = 12% of total marks Total marks = 57*(100/12) = 475 Therefore, Mohan’s mark = 84% of total marks = (84/100)*475 Mohan’s mark = 399.

62. Two numbers are such that the sum of thrice the first number and twice the second number is 20 and the sum of twice the first number and twice the second number is 15. Which is the smaller number?

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Correct Ans:1

Explanation:

Let the numbers be x and y. 3x + 2y = 20 …..(i) 2x + 3y = 15 ….(ii) Multiply eq (i) by 3 and multiply eq (ii) by 2, 9x + 6y = 60 …..(iii) 4x + 6y = 30 …..(iv) By solving (iii) & (iv), we get x = 6 ; y = 1 Hence the smallest number is 1.

63. A number, when divided by a divisor, leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?

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Correct Ans:37

Explanation:

Let the original number be 'a' Let the divisor be 'd' Let the quotient of the division of aa by dd be 'x' Therefore, we can write the relation as a/d = x and the remainder is 24. i.e., a=dx+24 When twice the original number is divided by d, 2a is divided by d. We know that a=dx+24. Therefore, 2a = 2dx + 48 The problem states that (2dx+48)/d leaves a remainder of 11. 2dx2dx is perfectly divisible by d and will therefore, not leave a remainder. The remainder of 11 was obtained by dividing 48 by d. When 48 is divided by 37, the remainder that one will obtain is 11. Hence, the divisor is 37.

64. How many five digit numbers are there such that two left most digits are even and remaining are odd and digit 4 should not be repeated?

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Correct Ans:2375

Explanation:

We have 4 cases of first digit {2,4,6,8} 5 cases of second digit {0,2,4,6,8} But 44 is one case we have to omit. So total ways for leftmost two digits are 4 x 5 - 1 = 19 5 cases of third digit {1,3,5,7,9} 5 cases of fourth digit {1,3,5,7,9} 5 cases of fifth digit {1,3,5,7,9} So total ways = 19 x 5 x 5 x 5 = 2375

65. Mr. T has a wrong weighing pan. One arm is lengthier than other. 1 kilogram on left balances 8 melons on right, 1 kilogram on right balances 2 melons on left. If all melons are equal in weight, what is the weight of a single melon.

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Correct Ans:200 gm

Explanation:

Let additional weight on left arm be x. Weight of melon be m x + 1 = 8 x m - - - - - - (1) x + 2 x m = 1 - - - - - - (2) Solving 1 & 2 we get. Weight of a single Melon = 200 gm

66. Due to some defect in our elevator, I was climbing down the staircase. I'd climbed down just 7 steps when I saw a man on the ground floor. Continuing to walk down, I greeted the man and I was surprised to see that when I was yet to get down 4 steps to reach the ground floor, the man had already finished climbing the staircase. He perhaps climbed up 2 steps for every 1 of mine. How many steps did the staircase have?

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Correct Ans:22

Explanation:

Let’s us take X => No of Steps required by boy to climb No of Steps climbed down when he saw the Old Man at ground floor = 7 After greeting Man no of steps required to climb down = 4 So Total Steps = 7 + 4 => 11 -----(1) Total Steps => X = 11. As the old man takes 2X that is 2 steps for every 1 => 2X ----(2) The total number of Staircase will be X = 11 So Substituting 2 in 1 will be => 2 (11 ) => 22 Total Number of Staircase = 22.

67. In particular language, if A = 0, B = 1, C = 2,........, Y = 24, Z = 25 then what is the value of ONE + ONE (in the form of alphabets only)?

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Correct Ans:BDAI

Explanation:

This problem is based on Base 26 rather than regular base 10 (decimal system) that we normally use. In base 10 there are 10 digits 0 to 9 exist. In base 26 there are 26 digits 0 to 25 exist. To convert any number into base 26, we have to divide the number with 26 and find the remainder. Here,ONE + ONE E has value of 4. So E + E = 8 which is equal to I. Now N + N = 13 + 13 = 26. But in base 26, there is no 26. So (26)10= (10)26 So we put 0 and carry over "1" on calculating "O + O". But 0 in this system is A. Hence,N + N = A Now O + O + 1 = 14 + 14 + 1 = 29 Therefore, (29)10= (13)26 But 1 = B and 3 = D in that system. Hence,O + O = BD So ONE + ONE = BDAI

68. Find the HCF of 59 , 14?

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Correct Ans:1

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesnâ€™t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

69. Two people run around circular track and take 42 sec and 30 sec to make one complete round. If they start together after how much amount of time will they meet again in the same place ?

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Correct Ans:3 min 30 sec

Explanation:

Given: Two people run around circular track and take 42 sec and 30 sec. LCM of ( 42, 30) = 210 They will meet in 210 seconds, which is 3 min 30 sec.

70. What number should come next ?173, 196, 219, 242, _____

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Correct Ans:265

Explanation:

The given series is -- 173, 196, 219, 242Consequtive numbers increases by 23Following this pattern, the Missing Number should increase by 23 from the previous number.When we add 23 to the last number (i.e 242) we get 242+23=265

71. What should come in place of _____ in the below number series?173, 149, 125, 101, _____

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Correct Ans:77

Explanation:

The given series is -- 173, 149, 125, 101Consequtive numbers decreases by 24Following this pattern, the Missing Number should decrease by 24 from the previous number.When we subract 24 to the last number (i.e 101) we get 101- 24 = 77

72. Find the HCF of 59 , 12?

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Correct Ans:1

Explanation:

73. Find the LCM of 42 , 20?

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Correct Ans:420

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices is divisble by both the numbers. If any choice doesnâ€™t get divided by both the numbers, then you can eliminate that particular choice and move to the next number. Answer will be the Number that is exactly divisble by both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will be exactly divisible by both the numbers, in that case , please choose the lowest among the numbers.

74. In the below given sequence, what should be the next number ?173, 195, 217, 239, _____

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Correct Ans:261

Explanation:

The given series is -- 173, 195, 217, 239Consequtive numbers increases by 22Following this pattern, the Missing Number should increase by 22 from the previous number.When we add 22 to the last number (i.e 239) we get 239+22=261

75. Output of a particular program follows the below pattern. Can you find the next number ? 173, 151, 129, 107, _____

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Correct Ans:85

Explanation:

The given series is -- 173, 151, 129, 107Consequtive numbers decreases by 22Following this pattern, the Missing Number should decrease by 22 from the previous number.When we subract 22 to the last number (i.e 107) we get 107-22 = 85

76. Find the HCF of 59 , 10?

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Correct Ans:1

Explanation:

77. Two bells toll at an interval of 42 and 24 seconds respectively. After they start at the same time, again after how many seconds will they rings together?

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Correct Ans:168

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices is divisble by both the numbers. If any choice doesnt get divided by both the numbers, then you can eliminate that particular choice and move to the next number. Answer will be the Number that is exactly divisble by both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will be exactly divisible by both the numbers, in that case , please choose the lowest among the numbers.

78. A Computer program gave the following output. Can you predict the next number that the computer program would generate as output ? 173, 188, 203, 218, _____

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Correct Ans:233

Explanation:

The given series is -- 173, 188, 203, 218Consequtive numbers increases by 15Following this pattern, the Missing Number should increase by 15 from the previous number.When we add 15 to the last number (i.e 218) we get 218+15=233

79. A professor wrote the below series in class room. He wants his students to find the next number. Can you solve it for the professor?173, 152, 131, 110, _____

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Correct Ans:89

Explanation:

The given series is -- 173, 152, 131, 110Consequtive numbers decreases by 21Following this pattern, the Missing Number should decrease by 21 from the previous number.When we subract 21 to the last number (i.e 110) we get 110-21=89

80. Find the HCF of 59 , 8?

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Correct Ans:1

Explanation:

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Page 5

81. Find the least two digit number which will divide 42 and 7 without leaving any remainder ?

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Correct Ans:42

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices is divisble by both the numbers. If any choice doesn't get divided by both the numbers, then you can eliminate that particular choice and move to the next number. Answer will be the Number that is exactly divisble by both given numbers. So, 42 is a correct answer. Please Note : There may be a scenario when two or more numbers in the choice will be exactly divisible by both the numbers, in that case , please choose the lowest among the numbers.

82. Below Numbers follow a particular pattern. Can you find the next number ?173, 192, 211, 230, _____

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Correct Ans:249

Explanation:

The given series is -- 173, 192, 211, 230Consequtive numbers increases by 19Following this pattern, the Missing Number should increase by 19 from the previous number.When we add 19 to the last number (i.e 230) we get 230+19=249

83. In the given series, can you find the next number ?173, 154, 135, 116, _____

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Correct Ans:97

Explanation:

The given series is -- 173, 154, 135, 116Consequtive numbers decreases by 19Following this pattern, the Missing Number should decrease by 19 from the previous number.When we subract 19 to the last number (i.e 116) we get 116-19= 97

84. Find the HCF of 59 , 6?

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Correct Ans:1

Explanation:

85. Two bells toll at an interval of 42 sec and 5 sec. After how many seconds, will both the bells ring together?

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Correct Ans:210

Explanation:

86. Fifth number is missing in the below series. Can you find the fifth number in the below series ? 173, 190, 207, 224, _____

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Correct Ans:241

Explanation:

The given series is -- 173, 190, 207, 224Consequtive numbers increases by 17Following this pattern, the Missing Number should increase by 17 from the previous number.When we add 17 to the last number (i.e 224) we get 224+17=241

87. Can you find the the next number in the below series173, 158, 143, 128, _____

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Correct Ans:113

Explanation:

The given series is -- 173, 158, 143, 128Consequtive numbers decreases by 15Following this pattern, the Missing Number should decrease by 15 from the previous number.When we subract 15 to the last number (i.e 128) we get 128--15=113

88. Find the HCF of 59 , 22?

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Correct Ans:1

Explanation:

89. Find the LCM of 42 , 3?

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Correct Ans:42

Explanation:

90. Fourth number is missing in the below series. Can you find the Fourth number in the below series ?133, 156, 179, X , 225, 248

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Correct Ans:202

Explanation:

The given series is -- 133, 156, 179, X , 225, 248Consequtive numbers increases by 23Following this pattern, the Missing Number X should increase by 23 from the previous number.When we add 23 to the number before X (i.e 179) we get 179+23=202

91. Find the HCF of 12 , 14?

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Correct Ans:2

Explanation:

92. Find the LCM of 25 , 30?

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Correct Ans:150

Explanation:

93. Can you find the the missing number in the below series133, 106, 79, X , 25, -2

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Correct Ans:52

Explanation:

The given series is -- 133, 106, 79, X , 25, -2Consequtive numbers decreases by 27Following this pattern, the Missing Number X should decrease by 27 from the previous number.When we subract 27 to the number before X (i.e 79) we get 79--27=52

94. Find the HCF of 12 , 120?

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Correct Ans:12

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. So 12 is HCF. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

95. Find the LCM of 25 , 20?

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Correct Ans:100

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices is divisble by both the numbers. If any choice doesn’t get divided by both the numbers, then you can eliminate that particular choice and move to the next number. Answer will be the Number that is exactly divisble by both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will be exactly divisible by both the numbers, in that case , please choose the lowest among the numbers.

96. Find the Missing number in the the below series 133, 160, 187, X , 241, 268

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Correct Ans:214

Explanation:

The given series is -- 133, 160, 187, X , 241, 268 Consequtive numbers increases by 27 Following this pattern, the Missing Number X should increase by 27 from the previous number. When we add 27 to the number before X (i.e 187) we get 187+27=214

97. Find the HCF of 12 , 10?

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Correct Ans:2

Explanation:

98. Find the LCM of 25 , 24?

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Correct Ans:600

Explanation:

99. Which number should come in place of the missing Number ?117, 148, 179, X , 241, 272

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Correct Ans:210

Explanation:

The given series is -- 117, 148, 179, X , 241, 272Consequtive numbers increases by 31Following this pattern, the Missing Number X should increase by 31 from the previous number.When we add 31 to the number before X (i.e 179) we get 179+31=210

100. Find the HCF of 12 , 8?

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Correct Ans:4

Explanation:

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Number System questions are delivered with accurate answer. For solving each and every question, very lucid explanations are provided with diagrams wherever necessary.

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Page 6

101. Find the LCM of 25 , 7?

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Correct Ans:175

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices is divisble by both the numbers. If any choice doesn’t get divided by both the numbers, then you can eliminate that particular choice and move to the next number. Answer will be the Number that is exactly divisble by both given numbers. The Lcm is 175. Please Note : There may be a scenario when two or more numbers in the choice will be exactly divisible by both the numbers, in that case , please choose the lowest among the numbers.

102. What should come in place of X in the below number series? 117, 88, 59, X , 1, -28

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Correct Ans:30

Explanation:

The given series is 117, 88, 59, X , 1, -28 Consequtive numbers decreases by 29 Following this pattern, the Missing Number X should decrease by 29 from the previous number. When we subract 29 to the number before X (i.e 59) we get 59 - 29 = 30

103. Find the HCF of 12 , 6?

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Correct Ans:6

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

104. Find the LCM of 25 , 5?

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Correct Ans:25

Explanation:

105. Output of a particular program follows the below pattern. Can you find the Missing number? 117, 146, 175, X , 233, 262

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Correct Ans:204

Explanation:

The given series is -- 117, 146, 175, X , 233, 262 Consequtive numbers increases by 29 Following this pattern, the Missing Number X should increase by 29 from the previous number. When we add 29 to the number before X (i.e 175) we get 175+29=204

106. Find the HCF of 12 , 22?

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Correct Ans:2

Explanation:

107. Find the LCM of 25 , 3?

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Correct Ans:75

Explanation:

108. In the below given sequence, what should be the Missing number ?117, 92, 67, X , 17, -8

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Correct Ans:42

Explanation:

The given series is -- 117, 92, 67, X , 17, -8Consequtive numbers decreases by 25Following this pattern, the Missing Number X should decrease by 25 from the previous number.When we subract 25 to the number before X (i.e 67) we get 67--25=42

109. Find the HCF of 19 , 14?

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Correct Ans:1

Explanation:

110. Find the LCM of 41 , 30?

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Correct Ans:1230

Explanation:

111. A Computer program gave the following output. Can you predict the Missing number in the computer output ? 117, 142, 167, X , 217, 242

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Correct Ans:192

Explanation:

The given series is -- 117, 142, 167, X , 217, 242 Consequtive numbers increases by 25 Following this pattern, the Missing Number X should increase by 25 from the previous number. When we add 25 to the number before X (i.e 167) we get 167+25=192

112. Find the HCF of 19 , 12?

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Correct Ans:1

Explanation:

113. Find the LCM of 41 , 20?

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Correct Ans:820

Explanation:

114. A professor wrote down the below series in a class room. He wants his students to find the Missing number. Can you solve it ?117, 96, 75, X , 33, 12

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Correct Ans:54

Explanation:

The given series is -- 117, 96, 75, X , 33, 12Consequtive numbers decreases by 21Following this pattern, the Missing Number X should decrease by 21 from the previous number.When we subract 21 to the number before X (i.e 75) we get 75--21=54

115. Find the HCF of 19 , 10?

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Correct Ans:1

Explanation:

116. Find the LCM of 41 , 24?

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Correct Ans:984

Explanation:

117. Below Numbers follow a particular pattern. Can you find the Missing number in the below pattern?117, 138, 159, X , 201, 222

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Correct Ans:180

Explanation:

The given series is -- 117, 138, 159, X , 201, 222Consequtive numbers increases by 21Following this pattern, the Missing Number X should increase by 21 from the previous number.When we add 21 to the number before X (i.e 159) we get 159+21=180

118. Find the HCF of 19 , 8?

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Correct Ans:1

Explanation:

119. In the given series, can you find the Missing number ?117, 94, 71, X , 25, 2

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Correct Ans:48

Explanation:

The given series is -- 117, 94, 71, X , 25, 2Consequtive numbers decreases by 23Following this pattern, the Missing Number X should decrease by 23 from the previous number.When we subract 23 to the number before X (i.e 71) we get 71--23=48

120. Find the LCM of 41 , 5?

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Correct Ans:205

Explanation:

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Number System questions are delivered with accurate answer. For solving each and every question, very lucid explanations are provided with diagrams wherever necessary.

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Page 7

121. Fourth number is missing in the below series. Can you find the Fourth number in the below series ?117, 140, 163, X , 209, 232

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Correct Ans:186

Explanation:

The given series is -- 117, 140, 163, X , 209, 232Consequtive numbers increases by 23Following this pattern, the Missing Number X should increase by 23 from the previous number.When we add 23 to the number before X (i.e 163) we get 163+23=186

122. Find a number below 20 which can divide 19 and 22 perfectly?

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Correct Ans:1

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn't divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. 1 is correct answer. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

123. Find the LCM of 41, 3?

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Correct Ans:123

Explanation:

The Least Common Multiple (L.C.M) of 3 and 41 can be computed by using the greatest common factor ie.,GCF of 3 and 41. This is the easiest approach: L.C.M(3,41) = (3 X 41) / GCF (3,41) = 123 / 1 = 123

124. Can you find the the missing number in the below series117, 90, 63, X , 9, -18

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Correct Ans:36

Explanation:

The given series is -- 117, 90, 63, X , 9, -18Consequtive numbers decreases by 27Following this pattern, the Missing Number X should decrease by 27 from the previous number.When we subract 27 to the number before X (i.e 63) we get 63--27=36

125. Find the HCF of 36 , 14?

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Correct Ans:2

Explanation:

Factors of 36 = 1, 2, 3, 4, 6, 9. Factors of 14 = 1, 2, and 7. Therefore, common factor of 36 and 14 = 1 and 2 Highest common factor (H.C.F) of 36 and 14 = 2. Therefore, 2 is H.C.F. or G.C.D. greatest common divisor of 36 and 14. H.C.F. or G.C.D. of given numbers is the greatest number which divides all the numbers without leaving a remainder.

126. Find the LCM of 37 , 30?

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Correct Ans:1110

Explanation:

127. Find the Missing number in the the below series117, 144, 171, X , 225, 252

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Correct Ans:198

Explanation:

The given series is -- 117, 144, 171, X , 225, 252Consequtive numbers increases by 27Following this pattern, the Missing Number X should increase by 27 from the previous number.When we add 27 to the number before X (i.e 171) we get 171+27=198

128. Find the highest number which can divide 36 and 12, without leaving any remainder ?

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Correct Ans:12

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn't divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. So,12 is highest number. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

129. Two bells ring at an interval of 20 sec and 37 secs. After what least time in seconds, will both the bells ring together ?

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Correct Ans:740

Explanation:

Given Two bells ring at an interval of 20 to 37 secs => When both bells ring together at least time => 20 * 37 => 740 seconds

130. Which number should come in place of the missing Number ?112, 143, 174, X , 236, 267

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Correct Ans:205

Explanation:

The given series is -- 112, 143, 174, X , 236, 267Consequtive numbers increases by 31Following this pattern, the Missing Number X should increase by 31 from the previous number.When we add 31 to the number before X (i.e 174) we get 174+31=205

131. Find the HCF of 36 , 10?

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Correct Ans:2

Explanation:

132. Find the LCM of 37 , 24?

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Correct Ans:888

Explanation:

133. What should come in place of X in the below number series?112, 83, 54, X , -4, -33

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Correct Ans:25

Explanation:

The given series is -- 112, 83, 54, X , -4, -33Consequtive numbers decreases by 29Following this pattern, the Missing Number X should decrease by 29 from the previous number.When we subract 29 to the number before X (i.e 54) we get 54-29=25

134. Find the HCF of 36 , 8?

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Correct Ans:4

Explanation:

135. Find the LCM of 37 , 7?

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Correct Ans:259

Explanation:

136. Output of a particular program follows the below pattern. Can you find the Missing number? 112, 141, 170, X , 228, 257

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Correct Ans:199

Explanation:

The given series is -- 112, 141, 170, X , 228, 257 Consequtive numbers increases by 29 Following this pattern, the Missing Number X should increase by 29 from the previous number. When we add 29 to the number before X (i.e 170) we get 170+29=199

137. Find the HCF of 36 , 6?

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Correct Ans:6

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. The HCF is 6 Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

138. Find the LCM of 37 , 5?

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Correct Ans:185

Explanation:

139. In the below given sequence, what should be the Missing number ?112, 87, 62, X , 12, -13

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Correct Ans:37

Explanation:

The given series is -- 112, 87, 62, X , 12, -13Consequtive numbers decreases by 25Following this pattern, the Missing Number X should decrease by 25 from the previous number.When we subract 25 to the number before X (i.e 62) we get 62-25=37

140. Find the HCF of 36 , 22?

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Correct Ans:2

Explanation:

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Page 8

141. Find the LCM of 37 , 3?

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Correct Ans:111

Explanation:

142. A Computer program gave the following output. Can you predict the Missing number in the computer output ? 112, 137, 162, X , 212, 237

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Correct Ans:187

Explanation:

The given series is -- 112, 137, 162, X , 212, 237Consequtive numbers increases by 25Following this pattern, the Missing Number X should increase by 25 from the previous number.When we add 25 to the number before X (i.e 162) we get 162+25=187

143. Find the HCF of 32 , 14?

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Correct Ans:2

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. The answer is 2. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

144. Two bells toll at an interval of 30, 31 seconds. After how many seconds they will ring together ?

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Correct Ans:930

Explanation:

Given: Two bells ring at an interval of 30 to 31 secs When both bells ring together at time =30 * 31 = 930 seconds.

145. A professor wrote down the below series in a class room. He wants his students to find the Missing number. Can you solve it ?112, 91, 70, X , 28, 7

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Correct Ans:49

Explanation:

The given series is -- 112, 91, 70, X , 28, 7Consequtive numbers decreases by 21Following this pattern, the Missing Number X should decrease by 21 from the previous number.When we subract 21 to the number before X (i.e 70) we get 70-21 = 49

146. Find the HCF of 32 , 12?

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Correct Ans:4

Explanation:

147. Find the LCM of 31 , 20?

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Correct Ans:620

Explanation:

148. Below Numbers follow a particular pattern. Can you find the Missing number in the below pattern?112, 133, 154, X , 196, 217

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Correct Ans:175

Explanation:

The given series is -- 112, 133, 154, X , 196, 217Consequtive numbers increases by 21Following this pattern, the Missing Number X should increase by 21 from the previous number.When we add 21 to the number before X (i.e 154) we get 154+21=175

149. Find the HCF of 32 , 10?

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Correct Ans:2

Explanation:

150. Find the LCM of 31 , 24?

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Correct Ans:744

Explanation:

151. In the given series, can you find the Missing number ?112, 89, 66, X , 20, -3

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Correct Ans:43

Explanation:

The given series is -- 112, 89, 66, X , 20, -3Consequtive numbers decreases by 23Following this pattern, the Missing Number X should decrease by 23 from the previous number.When we subract 23 to the number before X (i.e 66) we get 66-23=43

152. Find the HCF of 32 , 8?

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Correct Ans:8

Explanation:

153. Find the LCM of 31 , 7?

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Correct Ans:217

Explanation:

154. Fourth number is missing in the below series. Can you find the Fourth number in the below series ?112, 135, 158, X , 204, 227

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Correct Ans:181

Explanation:

The given series is -- 112, 135, 158, X , 204, 227Consequtive numbers increases by 23Following this pattern, the Missing Number X should increase by 23 from the previous number.When we add 23 to the number before X (i.e 158) we get 158+23=181

155. Find the HCF of 32 , 6?

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Correct Ans:2

Explanation:

156. Find the LCM of 31 , 5 ?

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Correct Ans:155

Explanation:

157. Can you find the the missing number in the below series112, 85, 58, X , 4, -23

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Correct Ans:31

Explanation:

The given series is -- 112, 85, 58, X , 4, -23Consequtive numbers decreases by 27Following this pattern, the Missing Number X should decrease by 27 from the previous number.When we subract 27 to the number before X (i.e 58) we get 58-27=31

158. Find the HCF of 32 , 22 ?

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Correct Ans:2

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

159. Find the LCM of 31 , 3 ?

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Correct Ans:93

Explanation:

160. Find the Missing number in the the below series 112, 139, 166, X , 220, 247

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Correct Ans:193

Explanation:

The given series is -- 112, 139, 166, X , 220, 247 Consequtive numbers increases by 27 Following this pattern, the Missing Number X should increase by 27 from the previous number. When we add 27 to the number before X (i.e 166) we get 166+27=193

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Page 9

161. Find the next number 2, 6, 12, 20, ?

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Correct Ans:30

Explanation:

Solution is Each number in the given series is the Product of two consecutive natural numbers. Given series is 2, 6, 12, 20 First number = 1 x 2 = 2 Second number = 2 x 3 = 6 Third number = 3 x 4 =12 Fourth number = 4 x 5 = 20 Next number will be = (5 x 6) = 30 Answer is 30

162. What number comes next : 899 , 960 , 1023 , 1088 , ... ?

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Correct Ans:1155

Explanation:

Given 899 , 960 , 1023 , 1088 ,... First number (899) is 30 x 30 - 1 Second number (960) is 31 x 31 - 1 Third number (1023) is 32 x 32 - 1 Fourth number (1088) is 33 x 33 - 1 Next number has to be 34 x 34 - 1 = 1155 Answer is 1155

163. What number comes next : 99 , 120 , 143 , 168 , ... ?

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Correct Ans:195

Explanation:

Given Given series is 99 , 120 , 143 , 168 , ... First number (99) is 10 x 10 - 1 Second number (120) is 11 x 11 - 1 Third number (143) is 12 x 12 - 1 Fourth number (168) is 13 x 13 - 1 Next number has to be 14 x 14 - 1 = 195 Answer is 195

164. What number shoud come next ? 2, 3, 5, 7, 11, ?

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Correct Ans:13

Explanation:

Solution is 2, 3, 5, 7, 11 Prime numbers written in the order Answer is 13

165. What number comes next : 1023 , 1088 , 1155 , 1224 , ... ?

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Correct Ans:1295

Explanation:

Solution is : Given series is 1023 , 1088 , 1155 , 1224 ,... First number (1023) is 32 x 32-1 Second number (1088) is 33 x 33-1 Third number (1155) is 34 x 34 -1 Fourth number (1224) is 35 x 35 -1 Next number has to be 36 x 36-1 = 1295 Answer is 1295

166. Find the missing term : 0, 2, 6, 12, 20, 30, ?

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Correct Ans:42

Explanation:

Solution is : Given 0, 2, 6, 12, 20, 30 First number (0) is: 12- 1, Second number (2) is: 22- 2, Third number (6) is: 32- 3, Fourth number (12) is: 42- 4, Fifth number (20) is: 52- 5, Sixth number (30) is: 62- 6 The next term has to be 72- 7 = 49 - 7 = 42

167. Find the next number 2, 5, 10, 17, ?

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Correct Ans:26

Explanation:

Solution is : Given : 2, 5 , 10, 17 First number (2) = 12 +1, Second number (5) = 22 + 1, Third number (10) = 32 + 1, Fourth number (17) = 42 +1 , Missing number = (52+1) = 25 + 1 = 26 So,Answer is 26

168. What number comes next : 901 , 962 , 1025 , 1090 , ... ?

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Correct Ans:1157

Explanation:

Solution is: Given 901 , 962 , 1025 , 1090 First number (901) is 30 x 30 + 1 Second number (962) is 31 x 31 + 1 Third number (1025) is 32 x 32 + 1 Fourth number (1090) is 33 x 33 + 1 Next number has to be 34 x 34 +1 = 1157

169. What number comes next : 8 , 15 , 24 , 35 , ... ?

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Correct Ans:48

Explanation:

Solution is Given 8 , 15 , 24 , 35 , ... First number (8) is 3 x 3 - 1 , Second number (15) is 4 x 4 - 1 , Third number (24) is 5 x 5 - 1 , Fourth number (35) is 6 x 6 - 1 Next number has to be 7 x 7 - 1 = 48

170. In the given series, can you find the Missing number? 106, 83, X , 37, 14

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Correct Ans:60

Explanation:

Solution is : The given series is 106, 83, X , 37, 14 Consecutive numbers decreases by 23 Following this pattern, the Missing Number X should decrease by 23 from the previous number. When we subract 23 to the number before X ( i.e 83 ) we get 83 - 23= 60.

171. What number comes next : 99 , 120 , 143 , 168 , __ ?

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Correct Ans:195

Explanation:

Solution is Given 99 , 120 , 143 , 168 Logic is : First number is 10 x 10 - 1 = 99 Second number is 11 x 11 - 1 = 120 Third number is 12 x 12 - 1 = 143 Fourth number is 13 x 13 - 1 = 168 SoNext number has to 14 x 14 - 1 = 195 Answer is 195

172. What number comes next : 8 , 15 , 24 , 35 , ... ?

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Correct Ans:48

Explanation:

Solution is : Given 8 , 15 , 24 , 35 , ... First number is 3 x 3-1 , Second number is 4 x 4-1 , Third number is 5 x 5 -1 , Fourth number is 6 x 6 -1 Next number has to 7 x 7-1 = 48

173. Find the NEXT term : 11, 17, 15, 21, 19, ?

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Correct Ans:25

Explanation:

Given 11, 17, 15, 21, 19 The above terms follow the pattern +6, -2, +6, -2, +6, -2, ... 11, 11+6=17, 17-2=15, 15 +6 = 21, 21-2=19 Now, 19+6 =25 Hence the next term has to be 25

174. Find the NEXT term : 0, 2, 6, 12, 20, 30, ?

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Correct Ans:42

Explanation:

Given flow is: 0, 2, 6, 12, 20, 30 Logic is: 12- 1 = 0 22- 2 = 2 32- 3 = 6 42- 4 = 12 52- 5 = 20 62 - 6 = 30 The next term has to be 72- 7 = 42 Answer is42

175. What number shoud come next 34, 17, 18, 9, ?

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Correct Ans:10

Explanation:

Solution is Given 34, 17, 18, 9 Second number is half of first number => 34 / 2 = 17 Third number is Second number + 1 => 17 + 1 = 18 Fourth number is half of third number => 18 / 2 = 9 Fifth number is fourth number + 1 => 9 + 1 = 10 Alternately divide by 2 and add 1 Answer is 10

176. What number shoud come next ? 12, 30, 56, ?

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Correct Ans:100

Explanation:

12 =3 x 4 30 = 5 x 6 56 = 7 x 8 90 = 9 x 10

177. Look at this series: 2, 1, (1/2), (1/4), ... What number should come next ?

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Correct Ans:1 / 8

Explanation:

Solution is Given : 2 , 1 , 1/2 , 1/4 Divide each number by 2 to get the next number 2 / 2 = 1 1 / 2 = 1 / 2 1 / (2 x 2) = 1 / 4 1 / (4 x 2) = 1 / 8 Answer is 1 / 8

178. Find the next number, 2, 5, 10, 17, ?

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Correct Ans:26

Explanation:

Solution is : Given : 2, 5 , 10, 17 = 12 +1, 22 + 1, 32 + 1, 42 +1 , (52+1) So, Answer is 26

179. Find the next number, 2, 6, 12, 20, ?

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Correct Ans:30

Explanation:

Given : 2, 6, 12, 20 1 x 2, 2 x 3, 3 x 4, 4 x 5, (5 x 6) Answer is 30. Product of two consecutive natural numbers

180. If a quarter kg of potato costs 60 paisa, how many paisa will 200gm cost ?

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Correct Ans:52

Explanation:

Quarter kg = 250 grams Less weight, less price (direct proportion) 250 : 200 :: 60 : x x = (200 x 60)/ 250 => x = 48 So 200 gm will cost 48 paisa

Are you seeking for good platform for practicing Number System questions in online. This is the right place. The time you spent in Fresherslive will be the most beneficial one for you.

Number System questions are delivered with accurate answer. For solving each and every question, very lucid explanations are provided with diagrams wherever necessary.

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Page 10

181. How much part of a day is 45 minutes ?

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Correct Ans:(1/32)

Explanation:

45 minutes = 3/4 of an hour. An hour = 1 / 24 of day 3/4 of hour = 3/ (4 x 24) of day = 1/32 of the day.

182. 27^20 / 27^10 = 3^k, then k = ?

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Correct Ans:30

Explanation:

27^20 ? 27^10 = 3^k => 27^10 = 3^k => (3^3)10 = 3^k => 3^30 = 3^k.

183. Five - sixths of a number is 720. What will be 45 % of that number ?

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Correct Ans:388.8

Explanation:

Let the number be k Then 5k/6 = 720 => k = 720 x (6/5) = 864 45% of 864 = (45/100) x 864 = 388.8

184. By how much is 3/4th of 568 lesser than 7/8th of 1008

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Correct Ans:456

Explanation:

7/8 * 1008=882 3/4* 568=426 so difference is 882-426=456

185. Find the value of k, if k / 171 = 76 / k

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Correct Ans:114

Explanation:

k / 171 = 76 / k ? k2 = 76 x 171 = 4 x 19 x 19 x 9 ? k2=22 x 192 x 32 => k = 2 x 19 x 3 => k = 114

186. If the numerator of a fraction is increased by 300% and the denominator is increased by 100%, the resultant fraction is 1 11/19 . Find the original fraction.

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Correct Ans:15/19

Explanation:

Let the original fraction be x/y. Numerator increased by 300% means, it is quadrupled. Denominator increase by 100% means, it is doubled. New fraction is 4x/2y = 30/19 (writing in simple fraction) ? 2x/y = 30/19 => x/y = 15/19

187. Which of the following number should be added to 28614 in order to obtain a multiple of 87 ?

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Correct Ans:9

Explanation:

On dividing the given number 28614 by 87, we have the remainder = 78. That is 28614 = 87 x 328 + 78 Therefore, the required number to be added is 87-78 = 9

188. The sum of two numbers is 16 and their difference is 2. Find the product of the two numbers

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Correct Ans:63

Explanation:

Let the two numbers be x and y. Sum of the two numbers: x + y=16. Difference of the two numbers: x - y = 2. Adding these two equation, we get 2x = 18 => x = 9 Subtracting these two equation, we get 2y = 14 => y = 7 Product of these two numbers : (x) * (y) = 9 * 7 = 63

189. What number comes next : 899 , 960 , 1023 , 1088 , ... ?

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Correct Ans:1155

Explanation:

Given 899 , 960 , 1023 , 1088 ,... First number is (30 x 30)-1 , Second number is (31 x 31)-1 , Third number is (32 x 32) -1 , Fourth number is (33 x 33) -1 The numbers are in the form of n2 ? 1 Next number has to 34 x 34-1 = 1155

190. What should come in place of the question mark (?) in the following number series 2 5 11 23 47 ?

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Correct Ans:95

Explanation:

2 5 11 23 47 ? It is clear that the next number has to be 47 + 48 =95

191. If the product of two successive positive integers is 5328, which is the smallest integer?

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Correct Ans:72

Explanation:

72 x 74 = 5328

192. On dividing a number by 357, we get 39 as remainder. On dividing the same number by 17, what will be the remainder?

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Correct Ans:5

Explanation:

Let X be the number and y be the quotient. Then, X = 357 x y + 39 =(17x21xy)+(17x2)+5 =17 x (21y+2)+5 So, required number = 5

193. Cube root of (941192) = ?

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Correct Ans:98

Explanation:

98 x 98 x 98 = 941192

194. The difference between a two digit number and the number obtained by interchanging two digits of the number is 9.The sum of the two digits of the number is 15. What is product of the two digits of two digit number ?

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Correct Ans:56

Explanation:

195. The product of two consecutive even numbers is 15128. Find the average of these two numbers.

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Correct Ans:123

Explanation:

196. What is the least number to be added with 2016 to make it perfect square?

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Correct Ans:9

Explanation:

452 = 2025, If we add 9 with 2016 we get 2025.

197. When all students in a school are made to stand in a row of 54, 30 such rows are formed. If the students are made to stand in the rows of 45, how many such rows can be formed ?

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Correct Ans:36

Explanation:

Given number of rows = 54, each row contains 30 students. Total number of students = 54 x 30. If there are 45 and k rows, then 45 x k = 54 x 30 Dividing both sides by 9, we get 5 x k = 6 x 30 => k 36

198. Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number .

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Correct Ans:3

Explanation:

Let the number be x. Then, x + 17 = 60 / x => x ^2 + 17x - 60 = 0 => (x + 20)(x - 3) = 0 => x = 3.

199. In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:

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Correct Ans:24

Explanation:

Let the ten's digit be x. Then, unit's digit = x + 2. Number = 10x + (x + 2) = 11x + 2. Sum of digits = x + (x + 2) = 2x + 2. (11x + 2)(2x + 2) = 144 22x2 + 26x - 140 = 0 11x2 + 13x - 70 = 0 (x - 2)(11x + 35) = 0 x = 2. Hence, required number = 11x + 2 = 24.

200. A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:

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Correct Ans:11

Explanation:

Let the ten's digit be x and unit's digit be y. Then, number = 10x + y. Number obtained by interchanging the digits = 10y + x. Therefore, (10x + y) + (10y + x) = 11(x + y), which is divisible by 11.

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Number System questions are delivered with accurate answer. For solving each and every question, very lucid explanations are provided with diagrams wherever necessary.

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Page 11

201. The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:

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Correct Ans:20

Explanation:

Let the numbers be a, b and c. Then, a2 + b2 + c2 = 138 and (ab + bc + ca) = 131. WKT, (a + b + c) 2 = a2 + b2 + c2 + 2(ab + bc + ca) Substitutinga2 + b2 + c2 = 138,(ab + bc + ca) = 131. (a + b + c)2= 138 + (2 x 131) (a + b + c)2= 138 + 262 (a + b + c)2= 400 (a + b + c) = 20.

202. The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?

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Correct Ans:Cannot be determined

Explanation:

Let the ten's digit be x and unit's digit be y. Then, x + y = 15 and x - y = 3 or y - x = 3. Solving x + y = 15 and x - y = 3, we get: x = 9, y = 6. Solving x + y = 15 and y - x = 3, we get: x = 6, y = 9. So, the number is either 96 or 69. Hence, the number cannot be determined

203. A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:

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Correct Ans:24

Explanation:

Let the ten's and unit's digit be x and 8 / x respectively. Then, (10 x + 8 / x) + 18 = (10 x 8 / x) + x => 10x ^2 + 8 + 18x = 80 + x^2 => 9x^2 + 18x - 72 = 0 => x^2 + 2x - 8 = 0 => (x + 4)(x - 2) = 0 => x = 2 => ten's digit => 8 / x = 8/2 = 4 => unit's digit Hence the number is 24

204. The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2?

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Correct Ans:8

Explanation:

Since the number is greater than the number obtained on reversing the digits, so the ten's digit is greater than the unit's digit. Let ten's and unit's digits be 2x and x respectively. Then, (10 x 2x + x) - (10x + 2x) = 36 => 9x = 36 => x = 4 Required difference = (2x + x) - (2x - x) = 2x = 8

205. If one-third of one-fourth of a number is 15, then three-tenth of that number is:

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Correct Ans:54

Explanation:

Let the number be x. Then, 1/3 of 1/4 of x = 15 x = 15 x 12 = 180. So, required number = ( 3 / 10 x 180 ) = 54.

206. {(476 + 424)2 - 4 x 476 x 424} = ?

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Correct Ans:2704

Explanation:

Given Exp. = [(a + b)2 - 4ab] = (a-b)2, where a = 476 and b = 424 [(476 + 424)2 - 4 x 476 x 424] = (476 - 424)2 = 522 = 2704

207. (1000)^9 / 10^24 = ?

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Correct Ans:1000

Explanation:

Given Exp. = (1000)9 / 10^24 = (10^3)^9/10^24 = 10^(27-24) = 10^3 = 1000

208. Which one of the following can't be the square of natural number ?

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Correct Ans:143642

Explanation:

The square of a natural number nerver ends in 2. 143642 is not the square of natural number.

209. 3 + 33 + 333 + 3.33 = ?

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Correct Ans:372.33

Explanation:

3 + 33 + 333 + 3.33 ------ 372.33 ------

210. 287 x 287 + 269 x 269 - 2 x 287 x 269 = ?

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Correct Ans:324

Explanation:

Given Exp. = a^2 + b^2 - 2ab, where a = 287 and b = 269 = (a - b)^2 = (287 - 269)^2 = (18^2) = 324

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Correct Ans:280.875

Explanation:

Given Exp. = 8988 x 1/8 x 1/4 = 2247 / 8 = 280.875

212. 8796 x 223 + 8796 x 77 = ?

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Correct Ans:2638800

Explanation:

8796 x 223 + 8796 x 77 = 8796 x (223 + 77) [Ref: By Distributive Law ] = (8796 x 300) = 2638800

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Correct Ans:3893103

Explanation:

3897 x 999 = 3897 x (1000 - 1) = 3897 x 1000 - 3897 x 1 = 3897000 - 3897 = 3893103.

214. If the number 653 xy is divisible by 90, then (x + y) = ?

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Correct Ans:4

Explanation:

90 = 10 x 9 Clearly, 653xy is divisible by 10, so y = 0 Now, 653x0 is divisible by 9. So, (6 + 5 + 3 + x + 0) = (14 + x) is divisible by 9. So, x = 4. Hence, (x + y) = (4 + 0) = 4.

215. The unit digit in the product (784 x 618 x 917 x 463) is:

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Correct Ans:2

Explanation:

Unit digit in the given product = Unit digit in (4 x 8 x 7 x 3) = (672) = 2

216. 217 x 217 + 183 x 183 = ?

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Correct Ans:80578

Explanation:

(217)^2 + (183)^2 = (200 + 17)^2 + (200 - 17)^2 = 2 x [(200)2 + (17)2] [Ref: (a + b)2 + (a - b)2 = 2(a2 + b2)] = 2[40000 + 289] = 2 x 40289 = 80578.

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Correct Ans:4155

Explanation:

Let 7589 -x = 3434 Then, x = 7589 - 3434 = 4155

218. 3251 + 587 + 369 - ? = 3007

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Correct Ans:1200

Explanation:

3251 Let 4207 - x = 3007 + 587 Then, x = 4207 - 3007 = 1200 + 369 ---- 4207 ----

219. On dividing a number by 68, we get 269 as quotient and 0 as remainder. On dividing the same number by 67, what will be the remainder ?

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Correct Ans:1

Explanation:

Number = 269 x 68 + 0 = 18292 67) 18292 (273 134 ---- 489 469 ---- 202 201 --- 1 --- Therefore, Required remainder = 1

220. The difference between the place values of two sevens in the numeral 69758472 is

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Correct Ans:699930

Explanation:

Required difference = (700000 - 70) = 699930

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Page 12

221. 666 x 6^{-1} x 3^{-1} = ?

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Correct Ans:37

Explanation:

Given Exp. = 666 x 1/6 x 1/3 = 37

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Correct Ans:57.5

Explanation:

Given Exp. = 35 + 15 x 3/2 = 35 + 45/2 = 35 + 22.5 = 57.5

223. Which one of the following can't be the square of natural number ?

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Correct Ans:42437

Explanation:

The square of a natural number never ends in 7. Therefore, 42437 is not the square of a natural number.

224. If (64) ^2 - (36)^2 = 20 x X, then X = ?

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Correct Ans:140

Explanation:

20 x x = (64 + 36)(64 - 36) = 100 x 28 => x = 100 x 28/20 = 140

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Correct Ans:586413

Explanation:

587 x 999 = 587 x (1000 - 1) = 587 x 1000 - 587 x 1 = 587000 - 587 = 586413.

226. The difference of the squares of two consecutive odd integers is divisible by which of the following integers ?

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Correct Ans:8

Explanation:

Let the two consecutive odd integers be (2n + 1) and (2n + 3). Then, (2n + 3) ^2 - (2n + 1)^2 = (2n + 3 + 2n + 1) (2n + 3 - 2n - 1) = (4n + 4) x 2 = 8(n + 1), which is divisible by 8.

227. If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x + y = ?

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Correct Ans:2 or 6

Explanation:

80 = 2 x 5 x 8 Since 653xy is divisible by 2 and 5 both, so y = 0. Now, 653x is divisible by 8, so 13x should be divisible by 8. This happens when x = 6. x + y = (6 + 0) = 6.

228. If 60% of 3 / 5 of a number is 36, then the number is:

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Correct Ans:100

Explanation:

Let the number be x. Then 60% of 3/5 of x = 36 => 60/100 x 3/5x x = 36 => x = ( 36 x 25/9 ) = 100

229. On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is:

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Correct Ans:47619

Explanation:

By hit and trial, we find that 47619 x 7 = 333333.

230. In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. What is the correct quotient ?

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Correct Ans:20

Explanation:

Number = (12 x 35) Correct Quotient = 420 ÷ 21 = 20

231. 9548 + 7314 = 8362 + (?)

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Correct Ans:8500

Explanation:

9548 16862 = 8362 + x + 7314 x = 16862 - 8362 ----- = 8500 16862 -----

232. If x and y are positive integers such that (3x + 7y) is a multiple of 11, then which of the following will be divisible by 11 ?

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Correct Ans:4x - 9y

Explanation:

By hit and trial, we put x = 5 and y = 1 so that (3x + 7y) = (3 x 5 + 7 x 1) = 22, which is divisible by 11. Therefore, (4x + 6y) = ( 4 x 5 + 6 x 1) = 26, which is not divisible by 11; (x + y + 4 ) = (5 + 1 + 4) = 10, which is not divisible by 11; (9x + 4y) = (9 x 5 + 4 x 1) = 49, which is not divisible by 11; (4x - 9y) = (4 x 5 - 9 x 1) = 11, which is divisible by 11.

233. The largest 5 digit number exactly divisible by 91 is:

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Correct Ans:99918

Explanation:

The largest 5 digit number is 99999 On dividing 99999 by 91, we get => Quotient =1098 => Remainder = 81 So, 99999 – 81 = 99918 Thus the largest 5-digit number exactly divisible by 91 = 99918

234. The smallest 6 digit number exactly divisible by 111 is:

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Correct Ans:100011

Explanation:

The smallest 6-digit number 100000. 111) 100000 (900 999 ----- 100 --- Required number = 100000 + (111 - 100) = 100011.

235. Which one of the following is a prime number ?

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Correct Ans:373

Explanation:

437 > 22 All prime numbers less than 22 are : 2, 3, 5, 7, 11, 13, 17, 19. 161 is divisible by 7, and 221 is divisible by 13. 373 is not divisible by any of the above prime numbers. 373 is prime number.

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Correct Ans:3625216

Explanation:

1904 x 1904 = (1904)^2 = (1900 + 4)^2 = (1900)^2 + (4)^2 + (2 x 1900 x 4) = 3610000 + 16 + 15200. = 3625216.

237. (51+ 52 + 53 + ... + 100) = ?

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Correct Ans:3775

Explanation:

This is an A.P. in which a = 51, l = 100 and n = 50.Therefore, Sum = n / 2 (a + l) = 50 / 2 x (51 + 100) = (25 x 151) = 3775.

238. If a and b are odd numbers, then which of the following is even ?

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Correct Ans:a + b

Explanation:

The sum of two odd number is even. So, a + b is even.

239. The difference between the place value and the face value of 6 in the numeral 856973 is

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Correct Ans:5994

Explanation:

(Place value of 6) - (Face value of 6) = (6000 - 6) = 5994

240. The sum all even natural numbers between 1 and 31 is:

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Correct Ans:240

Explanation:

Required sum = (2 + 4 + 6 + ... + 30)This is an A.P. in which a = 2, d = (4 - 2) = 2 and l = 30. Let the number of terms be n. Then, tn = 30 a + (n - 1)d = 30 2 + (n - 1) x 2 = 30 n - 1 = 14 n = 15 Therefore, Sn = n/2 (a + 1 ) = 15 / 2 x (2 + 30 ) = 240

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Page 13

241. Which one of the following is a prime number ?

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Correct Ans:None of these

Explanation:

Sqrt(551) > 22 All prime numbers less than 24 are : 2, 3, 5, 7, 11, 13, 17, 19, 23. 119 is divisible by 7; 187 is divisible by 11; 247 is divisible by 13 and 551 is divisible by 19. So, none of the given numbers is prime.

242. The difference of the squares of two consecutive even integers is divisible by which of the following integers?

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Correct Ans:4

Explanation:

Let the two consecutive even integers be 2n and (2n + 2). Then the difference of squares of these two consecutive even integers = (2n + 2)^2 – (2n)^2 = (2n)^2 + 8n + 4 – (2n)^2 = 8n + 4 = 4(2n + 1) => which is divisible by 4

243. A number when divided by 6 leaves a remainder 3. When the square of the number is divided by 6, the remainder is:

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Correct Ans:3

Explanation:

Let x = 6q + 3. Then, x^2 = (6q + 3)^2 = 36q2 + 36q + 9 = 6(6q2 + 6q + 1) + 3 Thus, when x2 is divided by 6, then remainder = 3.

244. Which one of the following numbers is completely divisible by 45 ?

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Correct Ans:202860

Explanation:

45 = 5 x 9, where 5 and 9 are co-primes. Unit digit must be 0 or 5 and sum of digits must be divisible by 9. Among given numbers, such number is 202860.

245. (x^n - a^n) is completely divisible by (x - a),when

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Correct Ans:n is any natural number

Explanation:

For every natural number n, (x^n - a^n) is completely divisible by (x - a).

246. (35423 + 7164 + 41720) - (317 x 89) = ?

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Correct Ans:56094

Explanation:

35423 317 x 89 = 317 x (90 -1 ) + 7164 = (317 x 90 - 317) + 41720 = (28530 - 317) ----- = 28213 84307 - 28213 ----- 56094 -----

247. 397 x 397 + 104 x 104 + 2 x 397 x 104 = ?

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Correct Ans:251001

Explanation:

Given Exp. = (397)^2 + (104)^2 + 2 x 397 x 104 = (397 + 104)^2 = (501)2 = (500 + 1)^2 = (500^2) + (1)^2 + (2 x 500 x 1) = 250000 + 1 + 1000 = 251001

248. n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4 ?

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Correct Ans:2

Explanation:

Let n = 4q + 3. Then 2n = 8q + 6 = 4(2q + 1 ) + 2. Thus, when 2n is divided by 4, the remainder is 2.

249. (4300731) - ? = 2535618

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Correct Ans:1765113

Explanation:

Let 4300731 - x = 2535618 Then x, = 4300731 - 2535618 = 1765113

250. Which natural number is nearest to 9217, which is completely divisible by 88 ?

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Correct Ans:9240

Explanation:

On dividing we get, 88) 9217 (104 88 ---- 417 352 ---- 65 ---- Therefore, Required number = 9217 + (88 - 65) // Because (88 - 65) < 65. = 9217 + 23 = 9240.

251. Which of the following numbers is divisible by each one of 3, 7, 9 and 11 ?

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Correct Ans:2079

Explanation:

Given 639 is not divisible by 7 2079 is divisible by each of 3, 7, 9, 11. So, 2079 is a correct answer.

252. If the number 42573 * is exactly divisible by 72, then the minimum value of * is:

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Correct Ans:6

Explanation:

72 = 9 x8, where 9 and 8 are co-prime. The minimum value of x for which 73x for which 73x is divisible by 8 is, x = 6. Sum of digits in 425736 = (4 + 2 + 5 + 7 + 3 + 6) = 27, which is divisible by 9. Required value of * is 6.

253. Which natural number is nearest to 8485, which is completely divisible by 75 ?

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Correct Ans:8475

Explanation:

On dividing, we get 75) 8485 (113 75 --- 98 75 ---- 235 225 --- 10 --- Required number = (8485 - 10) // Because 10 < (75 - 10) = 8475.

254. (800 / 64) x (1296 /36) = ?

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Correct Ans:450

Explanation:

(800 ÷ 64) x (1296 ÷36) = 12.5 * 36 = 450

255. How many prime numbers are less than 50 ?

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Correct Ans:15

Explanation:

Prime numbers less than 50 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 Their number is 15

256. A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 9 are wrong and the other digits are correct, then the correct answer would be:

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Correct Ans:555681

Explanation:

987 = 3 x 7 x 47 So, the required number must be divisible by each one of 3, 7, 47 553681 (Sum of digits = 28, not divisible by 3) 555181 (Sum of digits = 25, not divisible by 3) 555681 is divisible by 3, 7, 47.

257. On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is

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Correct Ans:10

Explanation:

Clearly, (2272 - 875) = 1397, is exactly divisible by N. Now, 1397 = 11 x 127 The required 3-digit number is 127, the sum of whose digits is 10.

258. If the number 5 * 2 is divisible by 6, then * = ?

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Correct Ans:2

Explanation:

6 = 3 x 2. Clearly, 5 * 2 is divisible by 2. Replace * by x. Then, (5 + x + 2) must be divisible by 3. So, x = 2.

259. If the number 97215 * 6 is completely divisible by 11, then the smallest whole number in place of * will be:

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Correct Ans:3

Explanation:

Given number = 97215x6 (6 + 5 + 2 + 9) - (x + 1 + 7) = (14 - x), which must be divisible by 11. x = 3

260. 476 ** 0 is divisible by both 3 and 11. The non-zero digits in the hundred's and ten's places are respectively:

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Correct Ans:8 and 5

Explanation:

Let the given number be 476 xy 0. Then (4 + 7 + 6 + x + y + 0) = (17 + x + y) must be divisible by 3. And, (0 + x + 7) - (y + 6 + 4) = (x - y -3) must be either 0 or 11. x - y - 3 = 0 y = x - 3 (17 + x + y) = (17 + x + x - 3) = (2x + 14) x= 2 or x = 8. Therefore, x = 8 and y = 5.

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Page 14

261. What least number must be subtracted from 13601, so that the remainder is divisible by 87 ?

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Correct Ans:29

Explanation:

13601 = 87 x 156 + 29 Here 29 is the remainder.

262. In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ?

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Correct Ans:5336

Explanation:

Divisor = (5 x 46) = 230 10 x Quotient = 230 = 230 = 23 10 Dividend = (Divisor x Quotient) + Remainder = (230 x 23) + 46 = 5290 + 46 = 5336.

263. A number when divided by 296 leaves 75 as remainder. When the same number is divided by 37, the remainder will be:

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Correct Ans:1

Explanation:

Let x = 296q + 75 = (37 x 8q + 37 x 2) + 1 = 37 (8q + 2) + 1 Thus, when the number is divided by 37, the remainder is 1.

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Correct Ans:-2071

Explanation:

Given Exp. = -84 x (30 - 1) + 365 = -(84 x 30) + 84 + 365 = -2520 + 449 = -2071

265. If the product 4864 x 9 P 2 is divisible by 12, then the value of P is:

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Correct Ans:None of these

Explanation:

Clearly, 4864 is divisible by 4. So, 9P2 must be divisible by 3. So, (9 + P + 2) must be divisible by 3. P = 1.

266. On dividing a number by 357, we get 39 as remainder. On dividing the same number 17, what will be the remainder?

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Correct Ans:5

Explanation:

Let x be the number and y be the quotient. Then, x = 357 xy + 39 = (17 x 21 xy) + (17 x 2) + 5 = 17 x (21y + 2) + 5) Required remainder = 5.

267. The smallest prime number is:

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Correct Ans:2

Explanation:

The smallest prime number is 2.

268. 8597 - ? = 7429 - 4358

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Correct Ans:5526

Explanation:

7429 Let 8597 - x = 3071 -4358 Then, x = 8597 - 3071 ---- = 5526 3071 ----

269. How many 3 digit numbers are divisible by 6 in all?

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Correct Ans:150

Explanation:

Required numbers are 102, 108, 114, ... , 996 This is an A.P. in which a1 = 102, d = 6 and l = an = 996 Let the number of terms be n. an= a1+ (n – 1)d Then, a1+ (n – 1)d = 996 => 102 + (n - 1) x 6 = 996 => (n - 1) x 6 = 996 - 102 =>6 x (n - 1) = 894 =>(n - 1) = 149 => n = 150.

270. How many natural numbers are there between 23 and 100 which are exactly divisible by 6 ?

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Correct Ans:13

Explanation:

Required numbers are 24, 30, 36, 42, ..., 96 This is an A.P. in which a = 24, d = 6 and l = 96 Let the number of terms in it be n. Then tn = 96 a + (n - 1)d = 96 24 + (n - 1) x 6 = 96 (n - 1) x 6 = 72 (n - 1) = 12 n = 13 Required number of numbers = 13.

271. How many 3-digit numbers are completely divisible 6 ?

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Correct Ans:150

Explanation:

3-digit number divisible by 6 are: 102, 108, 114,... , 996 This is an A.P. in which a = 102, d = 6 and l = 996 Let the number of terms be n. Then tn = 996. Therefore, a + (n - 1)d = 996 => 102 + (n - 1) x 6 = 996 => 6 x (n - 1) = 894 => (n - 1) = 149 n = 150 Therefore Number of terms = 150.

272. On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the number is divided by 5

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Correct Ans:4

Explanation:

Let the number be x and on dividing x by 5, we get k as quotient and 3 as remainder. x = 5k + 3 x^2 = (5k + 3)^2 = (25k^2 + 30k + 9) = 5(5k ^2 + 6k + 1) + 4 On dividing x^2 by 5, we get 4 as remainder.

273. On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder ?

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Correct Ans:5

Explanation:

Formula: (Divisor*Quotient) + Remainder = Dividend. Soln: (56*Q)+29 = D -------(1) D%8 = R -------------(2) From equation(2), ((56*Q)+29)%8 = R. => Assume Q = 1. => (56+29)%8 = R. => 85%8 = R => 5 = R.

274. The difference between the local value and the face value of 7 in the numeral 32675149 is

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Correct Ans:69993

Explanation:

(Local value of 7) - (Face value of 7) = (70000 - 7) = 69993

275. If the number 481 * 673 is completely divisible by 9, then the smallest whole number in place of * will be:

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Correct Ans:7

Explanation:

Sum of digits = (4 + 8 + 1 + x + 6 + 7 + 3) = (29 + x), which must be divisible by 9. x = 7

276. (?) + 3699 + 1985 - 2047 = 31111

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Correct Ans:27474

Explanation:

x + 3699 + 1985 - 2047 = 31111 => x + 3699 + 1985 = 31111 + 2047 => x + 5684 = 33158 => x = 33158 - 5684 = 27474.

277. Which of the following number is divisible by 24 ?

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Correct Ans:3125736

Explanation:

24 = 3 x8, where 3 and 8 co-prime. Clearly, 35718 is not divisible by 8, as 718 is not divisible by 8. Similarly, 63810 is not divisible by 8 and 537804 is not divisible by 8. Consider option (D), Sum of digits = (3 + 1 + 2 + 5 + 7 + 3 + 6) = 27, which is divisible by 3. Also, 736 is divisible by 8. 3125736 is divisible by (3 x 8), i.e., 24.

278. (?) - 19657 - 33994 = 9999

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Correct Ans:63650

Explanation:

19657 Let x - 53651 = 9999 33994 Then, x = 9999 + 53651 = 63650 ----- 53651 -----

279. Which one of the following numbers is exactly divisible by 11?

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Correct Ans:415624

Explanation:

(4 + 5 + 2) - (1 + 6 + 3) = 1, not divisible by 11. (2 + 6 + 4) - (4 + 5 + 2) = 1, not divisible by 11. (4 + 6 + 1) - (2 + 5 + 3) = 1, not divisible by 11. (4 + 6 + 1) - (2 + 5 + 4) = 0, So, 415624 is divisible by 11.

280. The smallest 3 digit prime number is:

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Correct Ans:101

Explanation:

The smallest 3-digit number is 100, which is divisible by 2. Therefore, 100 is not a prime number. ? 101 < 11 and 101 is not divisible by any of the prime numbers 2, 3, 5, 7, 11. 101 is a prime number. Hence 101 is the smallest 3-digit prime number.

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Page 15

281. If the number 517*324 is completely divisible by 3, then the smallest whole number in the place of * will be:

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Correct Ans:2

Explanation:

Sum of digits = (5 + 1 + 7 + x + 3 + 2 + 4) = (22 + x), which must be divisible by 3. x = 2.

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Correct Ans:725117481

Explanation:

72519 x 9999 = 72519 x (10000 - 1) = 72519 x 10000 - 72519 x 1 = 725190000 - 72519 = 725117481.

283. The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?

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Correct Ans:270

Explanation:

Let the smaller number be x. Given, larger number - smaller number = 1365 Then, larger number = (x + 1365) Therefore, x + 1365 = 6x + 15 => 5x = 1350 => x = 270 Hence, smaller number = 270.

284. The sum of first five prime numbers is:

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Correct Ans:28

Explanation:

Required sum = (2 + 3 + 5 + 7 + 11) = 28. Note: 1 is not a prime number. (Definition: A prime number (or a prime) is a natural number that has exactly two distinct natural number divisors: 1 and itself.)

285. √((27 / 5 x ?) / 15) = 5.4/6 + 0.3

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Correct Ans:4

Explanation:

Explanation: √((27 / 5 x X) / 15) = 5.4/6 + 0.3 (3/5) √ X = 1.2 √ X = 6/3 = 2 X = 4

286. Which of the following is a prime number ?

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Correct Ans:97

Explanation:

Clearly, 97 is a prime number.

287. The largest 4 digit number exactly divisible by 88 is:

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Correct Ans:9944

Explanation:

Largest 4-digit number = 9999 On dividing 9999 by 88, we get => Quotient =113 => Remainder = 55 So, 9999 – 55 = 9944 Thus the largest 4-digit number exactly divisible by 88 = 9944

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Correct Ans:1951609

Explanation:

1397 x 1397 = (1397) ^2 = (1400 - 3) ^ 2 = (1400) ^ 2 + (3) ^ 2 - (2 x 1400 x 3) = 1960000 + 9 - 8400 = 1960009 - 8400 = 1951609.

289. What least number must be added to 1056, so that the sum is completely divisible by 23 ?

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Correct Ans:2

Explanation:

23) 1056 (45 92 --- 136 115 --- 21 --- Required number = (23 - 21) = 2.

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Correct Ans:70000

Explanation:

(112 x 5^4) = 112 x ( 10/2 ) ^4 = 112 x 10^4 / 2^4 = 1120000 / 16 = 70000

291. Which one of the following is not a prime number?

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Correct Ans:91

Explanation:

91 is divisible by 7. So, it is not a prime number.

292. The difference between a two-digit number and the number obtained by interchanging the digit is 27. Find the difference between the digits.

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Correct Ans:3

Explanation:

Let the tens and unit digits be x and y respectively. Then, two digit number be 10x + y The number obtained by interchanging the digit is 10y + x Given, (10x + y) - (10y + x) = 27 => 10x + y – 10y – x = 27 => 9x – 9y = 27 => 9 (x - y) = 27 => x – y = 3 Therefore, difference between the digits = 3

293. What is the value of M and N respectively? If M39048458N is divisible by 8 and 11; where M and N are single digit integers?

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Correct Ans:6, 4

Explanation:

Test of Divisibility by 8: If the last three digits of a number are divisible by 8, then the number is divisible by 8. Here, last three digits 58N are divisible by 8 if N = 4 because 584 is divisible by 8. Test of Divisibility by 11If the digits at odd and even places of a given number are equal or differ by a number divisible by 11, then the given number is divisible by 11. Therefore, (M + 9 + 4 + 4 + 8) - (3 + 0 + 8 + 5 + N) = (M + 5) should be divisible by 11; this condition is satisfied when M = 6.

294. Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?

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Correct Ans:1590

Explanation:

Let the number that Anita wanted to multiply be x. She was expected to find the value of 35x. Instead, she found the value of 53x. The difference between the value that she got (53x) and what she was expected to get (35x) is 540. i.e., 53x – 35x = 540 => or (53 - 35) * x = 540 => x = 30 Therefore, the correct product = 53 * 30 = 1590

295. Let N be the sum of first 100 natural numbers, then N is divisible by

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Correct Ans:2

Explanation:

N= 1 + 2 + … + 100 = 100 x (101/2) = 50 x 101 => N is divisible by 2 only

296. Find the greatest five digit number that is exactly divisible by 7, 10, 15, 21 and 28

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Correct Ans:99960

Explanation:

The number should be divisible by 10 (2, 5), 15 (3, 5), 21 (3, 7), and 28 (4, 7). Hence, it is enough to check whether the number is divisible by 3, 4, 5 and 7. Test of divisibility by 3: Sum of the digits will be divisible by 3 if a number is divisible by 3. Test of divisibility by 4: The rightmost two digits viz., the units and tens digits will be divisible by 4 if a number is divisible by 4. For e.g, 1232 is divisible by 4 because 32 is divisible by 4. Test of divisibility by 5: The unit’s digit is either 5 or 0. 99960 is the only number which is divisible by 3, 4, 5 and 7.

297. When a number is divided by 36, it leaves a remainder of 19. What will be the remainder when the number is divided by 12?

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Correct Ans:7

Explanation:

Let the number be 'a'. When 'a' is divided by 36, let the quotient be 'q' and we know the remainder is 19. i.e., and remainder is 19 or a = 36q + 19 when 'a' is divided by 12, we get or . 36q is divisible by 12. Therefore, remainder = 7

298. Evaluate: 1.002 x 1.002 x 1.002 + 0.998 x 0.998 x 0.998 + 6 x 0.998 x 1.002

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Correct Ans:8

Explanation:

We know that (a+b)3 = a3 + b3 + 3ab(a+b) => 1.002 x 1.002 x 1.002 + 0.998 x 0.998 x 0.998 + 6 x 0.998 x 1.002 = (1.002+0.998)3 = 23 = 8

299. If 1/8 of 2/3 of 4/5 of a number is 12. Find the number.

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Correct Ans:180

Explanation:

Let k be the number then 1/8 x 2/3 x 4/5 x k = 12 => k/15 = 12 => k = 180

300. Let N = 55^3 + 17^3 - 72^3. N is divisible by

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Correct Ans:Both 3 and 17

Explanation:

We know that if a + b + c = 0 then a3+ b3+ c3 = 3 x a x b x c 553 + 173 ï¿½ 723= 3 x 55 x 17 x 72, it is clear that the answer is not a multiple of 13 or 7.

Are you seeking for good platform for practicing Number System questions in online. This is the right place. The time you spent in Fresherslive will be the most beneficial one for you.

Number System questions are delivered with accurate answer. For solving each and every question, very lucid explanations are provided with diagrams wherever necessary.

Practice in advance of similar questions on Number System may improve your performance in the real Exams and Interview.

Time Management for answering the Number System questions quickly is foremost important for success in Competitive Exams and Placement Interviews.

Through Fresherslive Number System questions and answers, you can acquire all the essential idea to solve any difficult questions on Number System in short time and also in short cut method.

Page 16

301. The integers 32489 and 33714, when divided by a three digit number "n", leave the same remainder. What is the value of "n"?

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Correct Ans:245

Explanation:

Given two numbers 32489 and 33714. Let r be the remainder we get, when we divide these both numbers by n, then 32489 = qn + r and 33714 = pn + r, Where p and q are some integers. Subtracting these two equations, we get 1225 = (p-q) x n. We can write 1225 as 5 x 245. Hence 245 is the answer.

302. Find the number of factors of 360

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Correct Ans:24

Explanation:

Prime factorization of 360 = 2^3 x 3^2 x 5^1 Number of factors = (3+1) x (2+1) x (1+1) = 4 x 3 x 2 = 24

303. Find the sum of first 200 natural numbers.

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Correct Ans:20,100

Explanation:

Sum of first 200 natural numbers = 1+ 2+ 3+ …+200 = 200 x (201/2) = 201 * 100 = 20,100

304. The sum of the digits of a 3 – digit number is subtracted from the number. The resulting number is always __________.

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Correct Ans:Divisible by 9

Explanation:

Let the three digit number be xyz, then xyz = 100x + 10y + z. Sum of all the digits is x + y + z. Subtracting the sum of the digits from 100x + 10y + z, we get 100x + 10y + z - (x+y+z) = 99 x + 9y = 9 x (11x +y), which is multiple of 9. Thus, the resulting number is always divisible by 9

305. Find the greatest number of 5 digits which is exactly divisible by 265.

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Correct Ans:99905

Explanation:

Greatest number of 5 digits is 99,999. If we divide this number 265, we get quotient 377 and remainder 94. If we subtract the number 94 from 99,999 then the resulting number will be perfectly divisible by 265. Answer is 99,999 – 94 = 99,905

306. A number when divided by 216 leaves remainder 36 and the value of the quotient is 11. Find the number.

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Correct Ans:2412

Explanation:

Number = Divisor x Quotient + Remainder = 216 x 11 + 36 = 2376 + 36 = 2412

307. On dividing 225636 by a certain number, the quotient is 68 and the remainder is 420. Find the divisor.

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Correct Ans:3312

Explanation:

Divisor = (Dividend - Remainder) / Quotient Divisor =(225636 – 420) / 68 = 3312

308. Evaluate: 432 x 637 + 367 x 432 =?

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Correct Ans:432000

Explanation:

432 x 637 + 363 x 432 =432 x ( 637 + 363) = 432 x 1000 = 432000

309. Find the unit digit in the expansion of the number 7^28

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Correct Ans:1

Explanation:

74k will always end with 1, 728, 28 being multiple of 4, the unit digit will be 1.

310. The remainder obtained when 2^99 is divided by 7 is ____

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Correct Ans:1

Explanation:

The number 2^99 = 8^33 When we divided 8 by 7, the remainder is 1, 8 to the power any number we divide the result by 7, the remainder is always 1. (You can try this, for example 82 = 64, divide 64 by 7, remainder is 1).Hence, 1 is the remainder.

311. The number of factors for the number 120 is ______

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Correct Ans:16

Explanation:

The number of factors will be (3+1) x (1+1) x (1+1) = 4 x 2 x 2 = 16 Hence there are 16 factors.

312. Find the HCF of 59 , 14?

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Correct Ans:1

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

313. Find the LCM of 42 , 30?

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Correct Ans:210

Explanation:

314. What number should come next ?173, 196, 219, 242, _____

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Correct Ans:265

Explanation:

315. What should come in place of _____ in the below number series?173, 149, 125, 101, _____

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Correct Ans:77

Explanation:

316. Find the HCF of 59 , 12?

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Correct Ans:1

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

317. Find the LCM of 42 , 20?

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Correct Ans:420

Explanation:

318. In the below given sequence, what should be the next number ?173, 195, 217, 239, _____

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Correct Ans:261

Explanation:

319. Output of a particular program follows the below pattern. Can you find the next number ? 173, 151, 129, 107, _____

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Correct Ans:85

Explanation:

320. Find the HCF of 59 , 10?

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Correct Ans:1

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

Are you seeking for good platform for practicing Number System questions in online. This is the right place. The time you spent in Fresherslive will be the most beneficial one for you.

Number System questions are delivered with accurate answer. For solving each and every question, very lucid explanations are provided with diagrams wherever necessary.

Practice in advance of similar questions on Number System may improve your performance in the real Exams and Interview.

Time Management for answering the Number System questions quickly is foremost important for success in Competitive Exams and Placement Interviews.

Through Fresherslive Number System questions and answers, you can acquire all the essential idea to solve any difficult questions on Number System in short time and also in short cut method.

Page 17

321. Find the LCM of 42 , 24?

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Correct Ans:168

Explanation:

322. A Computer program gave the following output. Can you predict the next number that the computer program would generate as output ? 173, 188, 203, 218, _____

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Correct Ans:233

Explanation:

323. A professor wrote the below series in class room. He wants his students to find the next number. Can you solve it for the professor?173, 152, 131, 110, _____

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Correct Ans:89

Explanation:

324. Find the HCF of 59 , 8?

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Correct Ans:1

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

325. Find the LCM of 42 , 7?

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Correct Ans:42

Explanation:

326. Below Numbers follow a particular pattern. Can you find the next number ?173, 192, 211, 230, _____

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Correct Ans:249

Explanation:

327. In the given series, can you find the next number ?173, 154, 135, 116, _____

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Correct Ans:97

Explanation:

328. Find the HCF of 59 , 6?

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Correct Ans:1

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

329. Find the LCM of 42 , 5?

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Correct Ans:210

Explanation:

330. Fifth number is missing in the below series. Can you find the fifth number in the below series ? 173, 190, 207, 224, _____

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Correct Ans:241

Explanation:

The given series is -- 173, 190, 207, 224 Consequtive numbers increases by 17 Following this pattern, the Missing Number should increase by 17 from the previous number. When we add 17 to the last number (i.e 224) we get 224+17=241

331. Can you find the the next number in the below series 173, 158, 143, 128, _____

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Correct Ans:113

Explanation:

The given series is -- 173, 158, 143, 128 Consequtive numbers decreases by 15 Following this pattern, the Missing Number should decrease by 15 from the previous number. When we subract 15 to the last number (i.e 128) we get 128--15=113

332. Find the HCF of 59 , 22?

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Correct Ans:1

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

333. Find the LCM of 42 , 3?

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Correct Ans:42

Explanation:

334. Fourth number is missing in the below series. Can you find the Fourth number in the below series ?133, 156, 179, X , 225, 248

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Correct Ans:202

Explanation:

335. Find the HCF of 12 , 14?

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Correct Ans:2

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

336. Find the LCM of 25 , 30?

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Correct Ans:150

Explanation:

337. Can you find the the missing number in the below series133, 106, 79, X , 25, -2

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Correct Ans:52

Explanation:

338. Find the HCF of 12 , 120?

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Correct Ans:12

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

339. Find the LCM of 25 , 20?

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Correct Ans:100

Explanation:

340. Find the Missing number in the the below series 133, 160, 187, X , 241, 268

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Correct Ans:214

Explanation:

Are you seeking for good platform for practicing Number System questions in online. This is the right place. The time you spent in Fresherslive will be the most beneficial one for you.

Number System questions are delivered with accurate answer. For solving each and every question, very lucid explanations are provided with diagrams wherever necessary.

Practice in advance of similar questions on Number System may improve your performance in the real Exams and Interview.

Time Management for answering the Number System questions quickly is foremost important for success in Competitive Exams and Placement Interviews.

Through Fresherslive Number System questions and answers, you can acquire all the essential idea to solve any difficult questions on Number System in short time and also in short cut method.

Page 18

341. Find the HCF of 12 , 10?

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Correct Ans:2

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

342. Find the LCM of 25 , 24?

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Correct Ans:600

Explanation:

343. Which number should come in place of the missing Number ?117, 148, 179, X , 241, 272

SHOW ANSWER

Correct Ans:210

Explanation:

344. Find the HCF of 12 , 8?

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Correct Ans:4

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

345. Find the LCM of 25 , 7?

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Correct Ans:175

Explanation:

346. What should come in place of X in the below number series? 117, 88, 59, X , 1, -28

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Correct Ans:30

Explanation:

347. Find the HCF of 12 , 6?

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Correct Ans:6

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

348. Find the LCM of 25 , 5?

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Correct Ans:25

Explanation:

349. Output of a particular program follows the below pattern. Can you find the Missing number? 117, 146, 175, X , 233, 262

SHOW ANSWER

Correct Ans:204

Explanation:

350. Find the HCF of 12 , 22?

SHOW ANSWER

Correct Ans:2

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

351. Find the LCM of 25 , 3?

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Correct Ans:75

Explanation:

352. In the below given sequence, what should be the Missing number ?117, 92, 67, X , 17, -8

SHOW ANSWER

Correct Ans:42

Explanation:

353. Find the HCF of 19 , 14?

SHOW ANSWER

Correct Ans:1

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

354. Find the LCM of 41 , 30?

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Correct Ans:1230

Explanation:

355. A Computer program gave the following output. Can you predict the Missing number in the computer output ? 117, 142, 167, X , 217, 242

SHOW ANSWER

Correct Ans:192

Explanation:

356. Find the HCF of 19 , 12?

SHOW ANSWER

Correct Ans:1

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

357. Find the LCM of 41 , 20?

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Correct Ans:820

Explanation:

358. A professor wrote down the below series in a class room. He wants his students to find the Missing number. Can you solve it ?117, 96, 75, X , 33, 12

SHOW ANSWER

Correct Ans:54

Explanation:

359. Find the HCF of 19 , 10?

SHOW ANSWER

Correct Ans:1

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

360. Find the LCM of 41 , 24?

SHOW ANSWER

Correct Ans:984

Explanation:

Are you seeking for good platform for practicing Number System questions in online. This is the right place. The time you spent in Fresherslive will be the most beneficial one for you.

Number System questions are delivered with accurate answer. For solving each and every question, very lucid explanations are provided with diagrams wherever necessary.

Practice in advance of similar questions on Number System may improve your performance in the real Exams and Interview.

Time Management for answering the Number System questions quickly is foremost important for success in Competitive Exams and Placement Interviews.

Through Fresherslive Number System questions and answers, you can acquire all the essential idea to solve any difficult questions on Number System in short time and also in short cut method.

Page 19

361. Below Numbers follow a particular pattern. Can you find the Missing number in the below pattern?117, 138, 159, X , 201, 222

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Correct Ans:180

Explanation:

362. Find the HCF of 19 , 8?

SHOW ANSWER

Correct Ans:1

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

363. Find the LCM of 41 , 7?

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Correct Ans:287

Explanation:

364. In the given series, can you find the Missing number ? 117, 94, 71, X , 25, 2

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Correct Ans:48

Explanation:

The given series is -- 117, 94, 71, X , 25, 2 Consequtive numbers decreases by 23 Following this pattern, the Missing Number X should decrease by 23 from the previous number. When we subract 23 to the number before X (i.e 71) we get 71--23=48

365. Find the HCF of 19 , 6?

SHOW ANSWER

Correct Ans:1

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

366. Find the LCM of 41 , 5?

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Correct Ans:205

Explanation:

367. Fourth number is missing in the below series. Can you find the Fourth number in the below series ?117, 140, 163, X , 209, 232

SHOW ANSWER

Correct Ans:186

Explanation:

368. Find the HCF of 19 , 22?

SHOW ANSWER

Correct Ans:1

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

369. Find the LCM of 41 , 3?

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Correct Ans:123

Explanation:

370. Can you find the the missing number in the below series117, 90, 63, X , 9, -18

SHOW ANSWER

Correct Ans:36

Explanation:

371. Find the HCF of 36 , 14?

SHOW ANSWER

Correct Ans:2

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

372. Find the LCM of 37 , 30?

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Correct Ans:1110

Explanation:

373. Find the Missing number in the the below series117, 144, 171, X , 225, 252

SHOW ANSWER

Correct Ans:198

Explanation:

374. Find the HCF of 36 , 12?

SHOW ANSWER

Correct Ans:12

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

375. Find the LCM of 37 , 20?

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Correct Ans:740

Explanation:

376. Which number should come in place of the missing Number ?112, 143, 174, X , 236, 267

SHOW ANSWER

Correct Ans:205

Explanation:

377. Find the HCF of 36 , 10?

SHOW ANSWER

Correct Ans:2

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

378. Find the LCM of 37 , 24?

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Correct Ans:888

Explanation:

379. What should come in place of X in the below number series?112, 83, 54, X , -4, -33

SHOW ANSWER

Correct Ans:25

Explanation:

380. Find the HCF of 36 , 8?

SHOW ANSWER

Correct Ans:4

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

Are you seeking for good platform for practicing Number System questions in online. This is the right place. The time you spent in Fresherslive will be the most beneficial one for you.

Number System questions are delivered with accurate answer. For solving each and every question, very lucid explanations are provided with diagrams wherever necessary.

Practice in advance of similar questions on Number System may improve your performance in the real Exams and Interview.

Time Management for answering the Number System questions quickly is foremost important for success in Competitive Exams and Placement Interviews.

Through Fresherslive Number System questions and answers, you can acquire all the essential idea to solve any difficult questions on Number System in short time and also in short cut method.

Page 20

381. Find the LCM of 37 , 7?

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Correct Ans:259

Explanation:

382. Output of a particular program follows the below pattern. Can you find the Missing number? 112, 141, 170, X , 228, 257

SHOW ANSWER

Correct Ans:199

Explanation:

383. Find the HCF of 36 , 6?

SHOW ANSWER

Correct Ans:6

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

384. Find the LCM of 37 , 5?

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Correct Ans:185

Explanation:

385. In the below given sequence, what should be the Missing number ?112, 87, 62, X , 12, -13

SHOW ANSWER

Correct Ans:37

Explanation:

386. Find the HCF of 36 , 22?

SHOW ANSWER

Correct Ans:2

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

387. Find the LCM of 37 , 3?

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Correct Ans:111

Explanation:

388. A Computer program gave the following output. Can you predict the Missing number in the computer output ? 112, 137, 162, X , 212, 237

SHOW ANSWER

Correct Ans:187

Explanation:

389. Find the HCF of 32 , 14?

SHOW ANSWER

Correct Ans:2

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

390. Find the LCM of 31 , 30?

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Correct Ans:930

Explanation:

391. A professor wrote down the below series in a class room. He wants his students to find the Missing number. Can you solve it ? 112, 91, 70, X , 28, 7

SHOW ANSWER

Correct Ans:49

Explanation:

The given series is -- 112, 91, 70, X , 28, 7 Consequtive numbers decreases by 21 Following this pattern, the Missing Number X should decrease by 21 from the previous number. When we subract 21 to the number before X (i.e 70) we get 70-21 = 49

392. Find the HCF of 32 , 12?

SHOW ANSWER

Correct Ans:4

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

393. Find the LCM of 31 , 20?

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Correct Ans:620

Explanation:

394. Below Numbers follow a particular pattern. Can you find the Missing number in the below pattern?112, 133, 154, X , 196, 217

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Correct Ans:175

Explanation:

395. Find the HCF of 32 , 10?

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Correct Ans:2

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

396. Find the LCM of 31 , 24?

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Correct Ans:744

Explanation:

397. In the given series, can you find the Missing number ?112, 89, 66, X , 20, -3

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Correct Ans:43

Explanation:

398. Find the HCF of 32 , 8?

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Correct Ans:8

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

399. Find the LCM of 31 , 7?

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Correct Ans:217

Explanation:

400. Fourth number is missing in the below series. Can you find the Fourth number in the below series ?112, 135, 158, X , 204, 227

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Correct Ans:181

Explanation:

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Number System questions are delivered with accurate answer. For solving each and every question, very lucid explanations are provided with diagrams wherever necessary.

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Page 21

401. Find the HCF of 32 , 6?

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Correct Ans:2

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

402. Find the LCM of 31 , 5 ?

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Correct Ans:155

Explanation:

403. Can you find the the missing number in the below series112, 85, 58, X , 4, -23

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Correct Ans:31

Explanation:

404. Find the HCF of 32 , 22 ?

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Correct Ans:2

Explanation:

The fastest way to find the correct answer is by elimination rule : Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers. Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.

405. Find the LCM of 31 , 3 ?

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Correct Ans:93

Explanation:

406. Find the Missing number in the the below series 112, 139, 166, X , 220, 247

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Correct Ans:193

Explanation:

407. Find the next number 2, 6, 12, 20, ?

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Correct Ans:30

Explanation:

408. What number comes next : 899 , 960 , 1023 , 1088 , ... ?

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Correct Ans:1155

Explanation:

409. What number comes next : 99 , 120 , 143 , 168 , ... ?

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Correct Ans:195

Explanation:

410. What number shoud come next ? 2, 3, 5, 7, 11, ?

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Correct Ans:13

Explanation:

Solution is 2, 3, 5, 7, 11 Prime numbers written in the order Answer is 13

411. What number comes next : 1023 , 1088 , 1155 , 1224 , ... ?

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Correct Ans:1295

Explanation:

412. Find the missing term : 0, 2, 6, 12, 20, 30, ?

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Correct Ans:42

Explanation:

413. Find the next number 2, 5, 10, 17, ?

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Correct Ans:26

Explanation:

414. What number comes next : 901 , 962 , 1025 , 1090 , ... ?

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Correct Ans:1157

Explanation:

415. What number comes next : 8 , 15 , 24 , 35 , ... ?

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Correct Ans:48

Explanation:

416. In the given series, can you find the Missing number ? 106, 83, X , 37, 14

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Correct Ans:60

Explanation:

417. What number comes next : 99 , 120 , 143 , 168 , __ ?

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Correct Ans:195

Explanation:

418. What number comes next : 8 , 15 , 24 , 35 , ... ?

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Correct Ans:48

Explanation:

Solution is : Given 8 , 15 , 24 , 35 , ... First number is 3 x 3-1 , Second number is 4 x 4-1 , Third number is 5 x 5 -1 , Fourth number is 6 x 6 -1 Next number has to 7 x 7-1 = 48

419. Find the NEXT term : 11, 17, 15, 21, 19, ?

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Correct Ans:25

Explanation:

Given 11, 17, 15, 21, 19 The above terms follow the pattern +6, -2, +6, -2, +6, -2, ... 11, 11+6=17, 17-2=15, 15 +6 = 21, 21-2=19 Now, 19+6 =25 Hence the next term has to be 25

420. Find the NEXT term : 13, 18, 16, 21, 19, 24, ?

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Correct Ans:22

Explanation:

Given 13, 18, 16, 21, 19, 24 The above terms follow the pattern +5, -2, +5, -2, +5, -2. Hence the next term has to be 24-2 = 22

Page 22

421. Find the NEXT term : 0, 2, 6, 12, 20, 30, ?

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Correct Ans:42

Explanation:

Given flow is: 0, 2, 6, 12, 20, 30 Logic is: 12- 1 = 0 22- 2 = 2 32- 3 = 6 42- 4 = 12 52- 5 = 20 62 - 6 = 30 The next term has to be 72- 7 = 42 Answer is42

422. What number shoud come next 34, 17, 18, 9, ?

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Correct Ans:10

Explanation:

423. What number shoud come next ? 2, 3, 5, 7, 11, ?

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Correct Ans:13

Explanation:

Given 2, 3, 5, 7, 11, Prime numbers writen in the order Answer 13

424. Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?

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Correct Ans:1/8

Explanation:

Solution is Given : 2 , 1 , 1/2 , 1/4 Divide each number by 2 to get the next number 2 / 2 = 1 1 / 2 = 1 / 2 1 / (2 x 2) = 1 / 4 1 / (4 x 2) = 1 / 8 Answer is 1 / 8

425. Find the next number, 2, 5, 10, 17, ?

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Correct Ans:26

Explanation:

Solution is : Given : 2, 5 , 10, 17 = 12 +1, 22 + 1, 32 + 1, 42 +1 , (52+1) So, Answer is 26

426. Find the next number, 2, 6, 12, 20, ?

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Correct Ans:30

Explanation:

Given : 2, 6, 12, 20 1 x 2, 2 x 3, 3 x 4, 4 x 5, (5 x 6) Answer is 30. Product of two consecutive natural numbers

427. If a quarter kg of potato costs 60 paisa, how many paisa will 200gm cost ?

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Correct Ans:52

Explanation:

Quarter kg = 250 grams Less weight, less price (direct proportion) 250 : 200 :: 60 : x x = (200 x 60)/ 250 => x = 48 So 200 gm will cost 48 paisa

428. How much part of a day is 45 minutes ?

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Correct Ans:Jan-32

Explanation:

45 minutes = 3/4 of an hour. An hour = 1 / 24 of day 3/4 of hour = 3/ (4 x 24) of day = 1/32 of the day

429. 2720 ? 2710 = 3k, then k = ?

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Correct Ans:30

Explanation:

27^20 ? 27^10 = 3^k => 27^10 = 3^k => (3^3)10 = 3^k => 3^30 = 3^k.

430. Five ? sixths of a number is 720. What will be 45 % of that number ?

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Correct Ans:388.8

Explanation:

Let the number be k Then 5k/6 = 720 => k = 720 x (6/5) = 864 45% of 864 = (45/100) x 864 = 388.8

431. By how much is 3/4th of 568 lesser than 7/8th of 1008

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Correct Ans:456

Explanation:

7/8 * 1008=882 3/4* 568=426 so difference is 882-426=456

432. Find the value of k, if k / 171 = 76 / k

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Correct Ans:114

Explanation:

k / 171 = 76 / k ? k2 = 76 x 171 = 4 x 19 x 19 x 9 ? k2=22 x 192 x 32 => k = 2 x 19 x 3 => k = 114

433. If the numerator of a fraction is increased by 300% and the denominator is increased by 100%, the resultant fraction is 1 11/19 . Find the original fraction

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Correct Ans:15/19

Explanation:

434. Which of the following number should be added to 28614 in order to obtain a multiple of 87 ?

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Correct Ans:9

Explanation:

On dividing the given number 28614 by 87, we have the remainder = 78. That is 28614 = 87 x 328 + 78 Therefore, the required number to be added is 87-78 = 9

435. The sum of two numbers is 16 and their difference is 2. Find the product of the two numbers

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Correct Ans:63

Explanation:

Let the two numbers be x and y Sum of the two numbers x + y=16 Difference of the two numbers x-y=2 Adding these two equation, we get 2x=18 => x = 9 Subtracting these two equation, we get 2x=14 => y = 7 Product of these two numbers : (x) x (y) = 63

436. What number comes next : 899 , 960 , 1023 , 1088 , ... ?

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Correct Ans:1155

Explanation:

437. What should come in place of the question mark (?) in the following number series 2 5 11 23 47 ?

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Correct Ans:95

Explanation:

2 5 11 23 47 ? It is clear that the next number has to be 47 + 48 =95

438. If the product of two successive positive integers is 5328, which is the smallest integer?

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Correct Ans:72

Explanation:

72 x 74 = 5328

439. On dividing a number by 357, we get 39 as remainder. On dividing the same number by 17, what will be the remainder?

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Correct Ans:5

Explanation:

Let X be the number and y be the quotient. Then, X = 357 x y + 39 =(17x21xy)+(17x2)+5 =17 x (21y+2)+5 So, required number = 5

440. Cube root of (941192) = ?

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Correct Ans:98

Explanation:

98 x 98 x 98 = 941192

Are you seeking for good platform for practicing Number System questions in online. This is the right place. The time you spent in Fresherslive will be the most beneficial one for you.

Number System questions are delivered with accurate answer. For solving each and every question, very lucid explanations are provided with diagrams wherever necessary.

Practice in advance of similar questions on Number System may improve your performance in the real Exams and Interview.

Time Management for answering the Number System questions quickly is foremost important for success in Competitive Exams and Placement Interviews.

Through Fresherslive Number System questions and answers, you can acquire all the essential idea to solve any difficult questions on Number System in short time and also in short cut method.