What is the total number of male students studying in that college except computers department

Answer 1: (b)

The required number = 14% of 1200 = 168.

The correct option is (b)

Answer 2: (a)

In Law, the number of boys = 20% of 1800 – 30% of 1200 = 360 –360 = 0.

Thus, the number of boys in law is least.

The correct option is (a)

Answer 3: (b)

The required ratio is

= {(35% of 1800 – 30% of 1200)/(30% of the 1200)}

= ((630 -360)/360}

=27/36 = 3:4

The correct option is (b)

Answer 4: (d)

Number of girls studying arts = 14% of 1200 = 168

Number of boys studying arts = 12% of 1800 -168 = 216-168 = 48

The required percentage = {(168 – 48)/48} x 100 = 120/48 x 100 = 250%

Number of students enrolled in various streams: $$\eqalign{ & \text{IT → } \frac{20}{100}\times3500 = 700 \cr & \text{Arts → } \frac{30}{100}\times3500 = 1050 \cr & \text{Science → } \frac{22}{100}\times3500 = 770 \cr & \text{Commerce → } \frac{12}{100}\times3500 = 420 \cr & \text{Management → } \frac{16}{100}\times3500 = 560 \cr} $$ Number of girls enrolled in various streams: $$\eqalign{ & \text{IT → } \frac{18}{100}\times1500 = 270 \cr & \text{Arts → } \frac{38}{100}\times1500 = 570 \cr & \text{Science → } \frac{11}{100}\times1500 = 165 \cr & \text{Commerce → } \frac{21}{100}\times1500 = 315 \cr & \text{Management → } \frac{12}{100}\times1500 = 180 \cr} $$ (Number of girls enrolled in Arts) : (Number of boys enrolled in Science) = 570 : (770 - 165) = 570 : 605

= 114 : 121

Number of students enrolled in various streams: $$\eqalign{ & \text{IT → } \frac{20}{100}\times3500 = 700 \cr & \text{Arts → } \frac{30}{100}\times3500 = 1050 \cr & \text{Science → } \frac{22}{100}\times3500 = 770 \cr & \text{Commerce → } \frac{12}{100}\times3500 = 420 \cr & \text{Management → } \frac{16}{100}\times3500 = 560 \cr} $$ Number of girls enrolled in various streams: $$\eqalign{ & \text{IT → } \frac{18}{100}\times1500 = 270 \cr & \text{Arts → } \frac{38}{100}\times1500 = 570 \cr & \text{Science → } \frac{11}{100}\times1500 = 165 \cr & \text{Commerce → } \frac{21}{100}\times1500 = 315 \cr & \text{Management → } \frac{12}{100}\times1500 = 180 \cr} $$ Number of girls enrolled in Arts, Science and Commerce = 570 + 165 + 315 = 1050 Required percentage

$$\eqalign{ & = \left(\frac{1050}{3500}\times100\right)\% \cr & = 30\% \cr} $$

Number of students enrolled in various streams: $$\eqalign{ & \text{IT → } \frac{20}{100}\times3500 = 700 \cr & \text{Arts → } \frac{30}{100}\times3500 = 1050 \cr & \text{Science → } \frac{22}{100}\times3500 = 770 \cr & \text{Commerce → } \frac{12}{100}\times3500 = 420 \cr & \text{Management → } \frac{16}{100}\times3500 = 560 \cr} $$ Number of girls enrolled in various streams: $$\eqalign{ & \text{IT → } \frac{18}{100}\times1500 = 270 \cr & \text{Arts → } \frac{38}{100}\times1500 = 570 \cr & \text{Science → } \frac{11}{100}\times1500 = 165 \cr & \text{Commerce → } \frac{21}{100}\times1500 = 315 \cr & \text{Management → } \frac{12}{100}\times1500 = 180 \cr} $$ Total number of girls enrolled in Science and Commerce together = 165 + 315

= 480

Number of students enrolled in various streams: $$\eqalign{ & \text{IT → } \frac{20}{100}\times3500 = 700 \cr & \text{Arts → } \frac{30}{100}\times3500 = 1050 \cr & \text{Science → } \frac{22}{100}\times3500 = 770 \cr & \text{Commerce → } \frac{12}{100}\times3500 = 420 \cr & \text{Management → } \frac{16}{100}\times3500 = 560 \cr} $$ Number of girls enrolled in various streams: $$\eqalign{ & \text{IT → } \frac{18}{100}\times1500 = 270 \cr & \text{Arts → } \frac{38}{100}\times1500 = 570 \cr & \text{Science → } \frac{11}{100}\times1500 = 165 \cr & \text{Commerce → } \frac{21}{100}\times1500 = 315 \cr & \text{Management → } \frac{12}{100}\times1500 = 180 \cr} $$ Total number of boys enrolled in Management and IT together = (560 - 180) + (700 - 270) = 380 + 430

= 810

Number of students enrolled in various streams: $$\eqalign{ & \text{IT → } \frac{20}{100}\times3500 = 700 \cr & \text{Arts → } \frac{30}{100}\times3500 = 1050 \cr & \text{Science → } \frac{22}{100}\times3500 = 770 \cr & \text{Commerce → } \frac{12}{100}\times3500 = 420 \cr & \text{Management → } \frac{16}{100}\times3500 = 560 \cr} $$ Number of girls enrolled in various streams: $$\eqalign{ & \text{IT → } \frac{18}{100}\times1500 = 270 \cr & \text{Arts → } \frac{38}{100}\times1500 = 570 \cr & \text{Science → } \frac{11}{100}\times1500 = 165 \cr & \text{Commerce → } \frac{21}{100}\times1500 = 315 \cr & \text{Management → } \frac{12}{100}\times1500 = 180 \cr} $$ Number of Management students already enrolled = 560 New required number

$$\eqalign{ & = 560 + \left(\frac{20}{100}\times165\right) \cr & = 560+33 \cr & = 593 \cr} $$

The following pie-charts show the distribution of students of graduate and post-graduate levels in seven different institutes in a town.

Distribution of students at graduate and post-graduate levels in seven institutes:

Directions (1-5): Study the following information carefully and answer the questions that follow:

There are three garments A, B and C sold shirts and pants in January 2019.

Number of shirts sold in garment C is 28 less than the number of pants sold in garment B. Number of shirts sold in garment B is 240, which is 20% more than the number of pants sold in the same garment.

Total number of items sold in company A is 50% of the total number of items sold in company B. Number of desktops sold in company A is half of the number of laptops sold in company B.

The ratio of the number of shirts sold in garment A to that of the number of pants sold in garment C is 25: 27.

Number of shirts sold in garment A is what percentage more/less than number of pants sold in garment B?
Option E
Required percentage = (200 – 100)/200 * 100

= 100/200 * 100 = 50% less
What is the ratio of the total number of pants sold in all the garments together to that of the total number of items sold in garment C?

Option D
Required ratio = (120 + 240 + 108): 280
= 468: 280

= 117: 70
What is the difference between the total number of items sold in garments A to that of C?
Option A
Required diff = 280 – 220 = 60
If garment D sold number of pants is 20% more than that of garment A and the ratio of the number of pants sold in garment D to that of shirts is 2: 3. What is the total number of items sold in garment D?

Option A
Number of pants sold in garment D = 120 * (120/100) = 144

Number of shirts sold in garment D = 144 * (3/2) = 216

Required total = 144 + 216 = 360
If 20% of the shirts sold in garment B is defective, find the number of non – defective shirts sold in garment B?

Option E
Required number of shirts= 240 * 80/100 = 192

Directions (6-10): Study the following information carefully and answer the questions that follow:

In one of the college there are 1300 students. The college has five departments – COMPUTER, ENGLISH, SCIENCE, Maths and Arts. Out of the total number of female students in the college, 30% study in COMPUTER department, 22% study in SCIENCE department, 18% study in ENGLISH department, 12% study in Arts department and remaining 90 female students study in Maths department. Out of the total number of male students in the college, 18% study in COMPUTER department, 20% study in SCIENCE department, 30% study in Arts department, 22% study in ENGLISH department and the remaining students study in Maths department.

The total number of male students studying in the Maths and ENGLISH department together is approximately what percent of the total number of students (both male and female) studying in COMPUTER and SCIENCE department together?

Option B Number of male student in Maths department = 80Number of male student in ENGLISH department = 176Total male of Maths and ENGLISH = 256Total number of students in COMPUTER department = 294Total number of students in SCIENCE department = 270Total students of SCIENCE and COMPUTER = 564Required percentage = 256 * 100/564 = 45%
If the male students in SCIENCE department is increase by 20%, the male students in the Maths department increase by 10%, 25% of male student increased by Arts department and 16 male students Joins COMPUTER department and the number of male students in the ENGLISH department is same, what is the percentage increase in the number of male students in the college?
Option B Number of male students in SCIENCE department = 160 * 120/100 = 192Number of male students in Maths department = 80 * 110/100 = 88Number of male students in Arts department = 240 * 125/100 = 300Number of male students in COMPUTER department = 144 + 16 = 160Number of male students in ENGLISH department = 176New total number of male students in the college = 916Required percentage = (916 – 800) * 100/800 = 14.5%
If 50 female students from COMPUTER department are transferred to the Arts department and 20 male students from Arts department are transferred to the COMPUTER department, what is the ratio of the number of female student to the number of male students in the Arts department after the transfer the students?
Option A After transferred the number of female students in Arts department= 60 + 50 = 110After transferred number of male students in Arts department= 240 – 20 = 220Required ratio = 110: 220 = 1: 2
What is the average number of students (both male and female) who study in COMPUTER, Arts and SCIENCE department together?
Option E
Average = (294 + 300 + 270)/3 = 864/3 = 288
What is the difference between the number of students (both male and female) studying in ENGLISH department and the number of students (both male and female) studying in Maths department?
Option D
Difference = 266 – 170 = 96