What is the remainder when 12345678910 49505152 is divided by 25

What is the remainder when 12345678910 49505152 is divided by 25

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What is the remainder when 12345678910 49505152 is divided by 25

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What is the remainder when 12345678910 49505152 is divided by 25

What will be the remainder of: 12345678910/8 [#permalink]

What is the remainder when 12345678910 49505152 is divided by 25
  Updated on: 19 Jan 2014, 08:37

What is the remainder when 12345678910 49505152 is divided by 25

What is the remainder when 12345678910 49505152 is divided by 25

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What is the remainder when 12345678910 49505152 is divided by 25
What is the remainder when 12345678910 49505152 is divided by 25
What is the remainder when 12345678910 49505152 is divided by 25
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What is the remainder when 12345678910 49505152 is divided by 25
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What is the remainder when 12345678910 49505152 is divided by 25
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What is the remainder when 12345678910 49505152 is divided by 25

What will be the remainder of: 12345678910/8A. 4B. 5C. 6D. 3

PS: Apart from time consuming traditional Division method, is there any trick to attempt such type of questions?


Originally posted by jovialsarthak on 19 Jan 2014, 00:33.
Last edited by Bunuel on 19 Jan 2014, 08:37, edited 2 times in total.

Renamed the topic and edited the question.

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What is the remainder when 12345678910 49505152 is divided by 25
What is the remainder when 12345678910 49505152 is divided by 25
What is the remainder when 12345678910 49505152 is divided by 25

Re: Remainder of the following [#permalink]

What is the remainder when 12345678910 49505152 is divided by 25
  19 Jan 2014, 08:40

mau5 wrote:

jovialsarthak wrote:

What will be the remainder of:123........10/8a. 4b. 5c. 6d. 3

PS: Apart from time consuming traditional Division method, is there any trick to attempt such type of questions?

For any # to be divisible by 8, the last 3 digits of that # should be divisible by 8Given # --> 12345678910 --> \(10^{10}+2*10^9+.... 8000+910\)All the numbers above are divisible as they all end in 000. Thus, the remainder is what is obtained by\(\frac{910}{8} = 6\)

C.

You can do the same by breaking 12345678910 only into two parts: 12345678910 = 12345678000 + 910.12345678000 is divisible by 8, because it ends with 000 and the remainder when 910 is divided by 8 is 6.Answer: C. _________________

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Re: Remainder of the following [#permalink]

What is the remainder when 12345678910 49505152 is divided by 25
  19 Jan 2014, 00:41

jovialsarthak wrote:

What will be the remainder of:123........10/8a. 4b. 5c. 6d. 3

PS: Apart from time consuming traditional Division method, is there any trick to attempt such type of questions?

For any # to be divisible by 8, the last 3 digits of that # should be divisible by 8Given # --> 12345678910 --> \(10^{10}+2*10^9+.... 8000+910\)All the numbers above are divisible as they all end in 000. Thus, the remainder is what is obtained by\(\frac{910}{8} = 6\)C. _________________

What is the remainder when 12345678910 49505152 is divided by 25

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What is the remainder when 12345678910 49505152 is divided by 25

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Re: What will be the remainder of: 12345678910/8 [#permalink]

What is the remainder when 12345678910 49505152 is divided by 25
  10 Dec 2015, 06:22

jovialsarthak wrote:

What will be the remainder of: 12345678910/8A. 4B. 5C. 6D. 3

PS: Apart from time consuming traditional Division method, is there any trick to attempt such type of questions?

This question tests the divisibility rules:

2 - The last digit should be even3 - Sum of the digits should be multiple of 34 - Last two digits should be divisible by 45 - Last digit should be 5 or 06 - Number is even and if the sum of its digits is divisible by 37 - Quiet complex and should not be used8 - Last three digits should be divisible by 8

9 - Sum should be divisible by 9

Taking the last 3 digits 12345678910 Remainder of 910/8 = 6

Option C

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Re: What will be the remainder of: 12345678910/8 [#permalink]

What is the remainder when 12345678910 49505152 is divided by 25
  10 Dec 2015, 10:05

jovialsarthak wrote:

What will be the remainder of: 12345678910/8A. 4B. 5C. 6D. 3

PS: Apart from time consuming traditional Division method, is there any trick to attempt such type of questions?

\(\frac{12345678910}{8}\) =\(\frac{12345678000}{8}\) + \(\frac{910}{8}\)

\(\frac{12345678000}{8}\) + \(\frac{910}{8}\) = abcd1 +113+ \(\frac{6}{8}\)



So, Remainder is (C) 6
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Re: What will be the remainder of: 12345678910/8 [#permalink]

What is the remainder when 12345678910 49505152 is divided by 25
  09 Jan 2017, 22:12

jovialsarthak wrote:

What will be the remainder of: 12345678910/8A. 4B. 5C. 6D. 3

PS: Apart from time consuming traditional Division method, is there any trick to attempt such type of questions?

Any number is divisible by 8 only if its last 3 digit is divisible by 8.here we will divide 910 by 8we get 6 as remainder.

Hope it helps!

What is the remainder when 12345678910 49505152 is divided by 25

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Re: What will be the remainder of: 12345678910/8 [#permalink]

What is the remainder when 12345678910 49505152 is divided by 25
  06 Jul 2017, 16:38

jovialsarthak wrote:

What will be the remainder of: 12345678910/8A. 4B. 5C. 6

D. 3

When dividing by 8, we can use the rule that if the last 3 digits of a number are divisible by 8, then that number is divisible by 8.For example, 110,440 is divisible by 8, since 440 is divisible by 8.Furthermore, the remainder when a number is divided by 8 is the same as the remainder when the last 3 digits of the number are divided by 8. So, to determine the remainder when 12345678910 is divided by 8, we simply divide 910 by 8:910/8 = 113 remainder 6Answer: C _________________

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Re: What will be the remainder of: 12345678910/8 [#permalink]

What is the remainder when 12345678910 49505152 is divided by 25
  16 Jul 2017, 06:08

I took last three digit keeping in view "A number is divisible by 8 if its last three digits are divisible by 8"when I divide 910 got 904 so 6 is remainderOption CExpert opinion please will it satisfies all condition??

TIA

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What is the remainder when 12345678910 49505152 is divided by 25

Re: What will be the remainder of: 12345678910/8 [#permalink]

What is the remainder when 12345678910 49505152 is divided by 25
  16 Jul 2017, 06:11

AqsaGhori wrote:

I took last three digit keeping in view "A number is divisible by 8 if its last three digits are divisible by 8"when I divide 910 got 904 so 6 is remainderOption CExpert opinion please will it satisfies all condition??

TIA

Yes. It's the same exact approach used in above solutions. _________________

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Re: What will be the remainder of: 12345678910/8 [#permalink]

What is the remainder when 12345678910 49505152 is divided by 25
  03 Dec 2018, 08:53

jovialsarthak wrote:

What will be the remainder of: 12345678910/8A. 4B. 5C. 6D. 3

PS: Apart from time consuming traditional Division method, is there any trick to attempt such type of questions?

Any number divisible by 8 will have last 3 digit also divisible by 8.So, we should check the remainder of 910/8 = 6

Answer C

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What is the remainder when 12345678910 49505152 is divided by 25

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Re: What will be the remainder of: 12345678910/8 [#permalink]

What is the remainder when 12345678910 49505152 is divided by 25
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What is the remainder when 12345678910 49505152 is divided by 25

Re: What will be the remainder of: 12345678910/8 [#permalink]