__Quantitative Aptitude Practice Questions for IBPS PO Mains – Set 2__**Directions (1 – 5): Read the below table carefully and answer the following questions.**

**1. If 77.5% of the boys in Web designing and Interior designing, 80% boys in Architecture and Nursing and 60% boys in Journalism of University B got the certificate of clearance, then what is the percentage of boys who received certification of clearance from University B?**

a) 75%

b) 67%

c) 73%

d) 68%

e) 65%

**2. Find the difference between average numbers of boys in each course of University A to average number of boys in each course of University F?**

a) 19

b) 15

c) 20

d) 13

e) 16

**3. Find the percentage of boys learning Architecture in University C with respect to total number of boys learning Architecture in all universities?**

a) 17%

b) 12%

c) 15%

d) 18%

e) 16%

**4. Find the ratio of total number of boys of all Universities learning Nursing to boys of all Universities learning Interior designing?**

a) 7 : 9

b) 9 : 11

c) 11 : 13

d) 13 : 15

e) 15 : 17

**5. The number of boys learning Journalism in university B, C and D is what percent of boys learning Nursing in University A, E and F?**

a) 82%

b) 83%

c) 85%

d) 81%

e) 84%

**Directions (6 – 10): Study the following graph carefully to answer the question that follow.**

**Following is a bar graph which shows the number of students from two different states who qualified in an entrance examination in six different years**

**6. If 46% of the total students who qualified in the entrance exam from both the states together over all the years are girls, then what was the total number of boys who qualified in the exams over all the years from both the states together?**

a) 2944

b) 3456

c) 3544

d) 2856

e) None of
these

**7. Total number of students who qualified in the entrance exam from state A over all the years together was approximately what percentage of total number of students who qualified in the entrance exam from both the states together in the year 2013 and 2015 together?**

a) 126

b) 138

c) 144

d) 155

e) 156

**8. What is the percentage of total number of students who qualified in the entrance exam in the year 2014 from both the states together to that of the total number of students from state B who qualified in the entrance exam over all the years together?**

a) 40

b) 41

c) 42

d) 43

e) None of
these

**9. What was the respective ratio between the number of students who qualified in the entrance exam from state A in the year 2010 and the number of students who qualified in the exam from State B in the year 2012?**

a) 16 : 17

b) 18 : 17

c) 17 : 15

d) 15 : 17

e) None of
these

**10. What was the percent increase in the number of students who qualified in the entrance exam from state B in the year 2013 as compared to the previous year?**

a) 18

b) 20

c) 22

d) 24

e) 26

**Directions (11 – 15): Study the following data carefully and answer the questions given below it:**

The
total number of students in a college having three disciplines viz. Arts,
Commerce and Science is 19,000. 25% of the total numbers of students are from
the discipline of Arts. 35% of the total numbers of students are from the
discipline of Commerce and 40% of the total numbers of students are from the
discipline of Science. The college has three compulsory subjects viz. Social
Work, Physical Training and Cookery for all the three disciplines and the
students have a choice to take either one of the subjects or all the three
subjects together. 24% of the total numbers of students from the discipline of
Arts have taken Social Work. 30% of the total numbers of students from the
discipline of Arts have taken Physical Training. 40% of the total numbers of
students from the same discipline have taken Cookery and the rest have taken
all the three subjects. 44% of the total numbers of students from the
discipline of Commerce have taken Social Work, 28% have taken Physical
Training, 14% have taken Cookery and the rest have taken all the three
subjects. 35% of the total numbers of students from the discipline of Science
have taken Social Work, 43% have taken Physical Training, 4% have taken Cookery
and the rest have taken all the three subjects.

**11. The total numbers of students who have taken all the three subjects are what per cent of the total number of students in the college?**

a) 15

b) 12.5

c) 13.6

d) 14.8

e) None of
these

**12. What is the total number of students in the college who have taken only Cookery as their subject?**

a) 3180

b) 3200

c) 3020

d) 3135

e) None of
these

**13. The total number of students who have taken only Social Work as their subject from the discipline of Arts are approximately what per cent of the total number of students taking the same subject from the discipline of Science?**

a) 43

b) 48

c) 36

d) 28

e) 51

**14. What is the total number of students who have taken Social Work and Physical Training from all the three disciplines?**

a) 13855

b) 9861

c) 10281

d) 12555

e) None of
these

**15. What is the respective ratio of the total number of students from the discipline of Commerce to those from the discipline of Science?**

a) 9:8

b) 7:8

c) 8:9

d) 8:7

e) None of
these

**Solutions:**

**(1 – 5):**

**1. A)**

**⇒**Number of boys in Web designing and Interior designing from University B = 240

**⇒**Number of boys in Architecture and Nursing from University B = 165

**⇒**Number of girls in Journalism from University B = 95

**⇒**Total number of boys learning different courses from University B = 500

**⇒**So, 77.5% of 240 + 80% of 165 + 60% of 95 got certificate from University B = 186 + 132 + 57 =

**∴**required percentage = 375/500 × 100 = 75%

**2. E)**

**⇒**Total number of boys learning from University A = 680

**⇒**Average numbers of girls in each course of University A = 680/5 = 136

**⇒**Total number of boys learning from University F = 600

**⇒**Average numbers of boys in each course of University F = 600/5 = 120

**∴**

**Difference = 136 – 120 = 16**

**3. C)**

**⇒**Total number of boys learning Architecture from all Universities = 600

**⇒**Number of boys learning Architecture in University C = 90

**∴**required percentage = 90/600 × 100 = 15%

**4. B)**

**⇒**Total number of boys of all Universities learning Nursing = 630

**⇒**Total number of boys of all Universities learning Interior designing = 770

**∴**

**respected ratio = 9 : 11**

**5. C)**

**⇒**Total number of boys learning Journalism in University B, C and D = 95 + 130 + 115 = 340

**⇒**Total number of boys learning Nursing in University A, E and F = 135 + 140 +125 = 400

**∴**

**required percentage = 340/400 × 100 = 85%**

**6. D)**Total number of students who qualified the entrance exam from both the states together over all the years = 480 + 360 + 530 + 390 + 560 + 450 + 610 + 550 + 670 + 490 + 710 + 600 = 6400

Total
number of girls who qualified the entrance exam from both the states together
over all the years = 46% of 6400 = 0.46 × 6400 = 2944

∴ Total
number of boys who qualified the entrance exam from both the states together
over all the years = 6400 – 2944 = 3456

**7. C)**Total number of students who qualified in the entrance exam from state A over all the years together = 480 + 530 + 560 + 610 + 670 + 710 = 3560

Total
number of students who qualified in the entrance exam from both the states
together in the year 2013 and 2015 together = 610 + 550 + 710 + 600 = 2470

∴ Required
percentage = (3560/2470) × 100 = 144%

**8. B)**The total number of students who qualified in the entrance exam in the year 2014 from both the states together = 670 + 490 = 1160

The
total number of students from state B who qualified in the entrance exam over
all the years together = 360 + 390 + 450 + 550 + 490 + 600 = 2840

∴ Required %
= (1160/2840) × 100 = 40.845% ≈ 41%

**9. E)**From bar graph,

The
number of students who qualified in the entrance exam from state A in the year
2010 = 480

The
number of students who qualified in the entrance exam from state B in the year
2012 = 450

∴ Required
ratio = 480 : 450 = 16 : 15

**10. C)**% increase in the number of students who qualified in the exam from state B in the year 2013 as compared to the previous year = [(550 – 450)/450] × 100 = 22.22 ≈ 22%

**11. C)**From the given data,

The
total number of students in the college = 19000

Given
that the 25% of the total number of students belong to the discipline of Arts.

∴The total
no. of students belong to the discipline of Arts = 19000 × (25/100) =4750

From
the given data, it is clear that 6% of the students from Arts discipline have
taken all the three subjects.

∴The total
no. of students from Arts discipline who took all the three subjects

=
4750 × (6/100) =285 ……. (1)

Given
that the 35% of the total number of students belong to the discipline of
Commerce.

∴The total
no. of students belong to the discipline of Commerce = 19000 × (35/100) =6650

From
the given data, it is clear that 14% of the students from Commerce discipline
have taken all the three subjects.

∴The total
no. of students from Commerce discipline who took all the three subjects

=
6650 × (14/100) =931 ……. (2)

Given
that the 40% of the total number of students belong to the discipline of
Science.

∴The total
no. of students belong to the discipline of Science = 19000 × (40/100) =7600

From
the given data, it is clear that 18% of the students from Science discipline
have taken all the three subjects.

∴The total
no. of students from Science discipline who took all the three subjects

=
7600 × (18/100) =1368 ……. (3)

∴The total
no. of students from all disciplines who took all the three subjects = 285 +
931 + 1368 = 2584 [∵From (1), (2) and (3)]

**(a/b×100)%**

*We know that, to find `a’ is what percent of `b’ we have*
∴The
percentage of total number of students who have taken all the three subjects to
the total number of students in the college= (2584/19000) × 100 = 13.6

**12. D)**From the given data,

The
total number of students in the college having three disciplines = 19000

Given
that the 25% of the total number of students belong to the discipline of Arts.

∴The total
no. of students belong to the discipline of Arts = 19000 × (25/100) = 4750

Given
that 40% of the students from Arts discipline have taken only Cookery as a
subject.

∴The total
no. of students from Arts discipline who took only Cookery as their subject

=
4750 × (40/100) = 1900 ……. (1)

Given
that the 35% of the total number of students belong to the discipline of
Commerce.

∴The total
no. of students belong to the discipline of Commerce

=
19000 × (35/100) =6650

Given
that 40% of the students from Commerce discipline have taken only Cookery as a
subject.

∴The total
no. of students from Commerce discipline who took only Cookery as their subject

=
6650 × (14/100) =931 …….(2)

Given
that the 40% of the total number of students belong to the discipline of
Science.

∴The total
no. of students belong to the discipline of Science = 19000 × (40/100) =7600

Given
that 4% of the students from Science discipline have taken only Cookery as a
subject.

∴The total
no. of students from Science discipline who took only Cookery as their subject

=
7600 × (4/100) =304 ……. (3)

∴The total
no. of students in the college who have taken only Cookery as their subject

=
1900 + 931 + 304 = 3135

**13. A)**The percentage of the total no. of students from the discipline of Arts who took Social Work to the total no. of students taking the same subject from the discipline of Science

=
{[19000 × (25/100) × (24/100)]/[19000 × (40/100) × (35/100)]} × 100 = 42.857 ≈
43%

**14. E)**The total number of students in the college having three disciplines = 19000

Given
that the 25% of the total number of students belong to the discipline of Arts.

∴The total
no. of students belong to the discipline of Arts = 19000 × (25/100)

=4750

Given
that 24% of the students from the discipline of Arts have taken Social Work

∴The total
no. of students from the discipline of Arts who took Social Work

=
4750 × (24/100)

=1140
………. (1)

Given
that 30% of the students from the discipline of Arts have taken Physical
Training

∴The total
no. of students from the discipline of Arts who took Physical Training

=
4750 × (30/100)

=1425
………. (2)

Given
that the 35% of the total number of students belong to the discipline of
Commerce.

∴The total
no. of students belong to the discipline of Commerce = 19000 × (35/100)

=6650

Given
that 44% of the students from the discipline of Commerce have taken Social Work

∴The total
no. of students from the discipline of Commerce who took Social Work

=
6650 × (44/100)

=2926
………. (3)

Given
that 28% of the students from the discipline of Commerce have taken Physical
Training

∴The total
no. of students from the discipline of Commerce who took Physical Training

=
6650 × (28/100)

=1862
………. (4)

Given
that the 40% of the total number of students belong to the discipline of
Science.

∴The total
no. of students belong to the discipline of Science = 19000 × (40/100)

=7600

Given
that 35% of the students from the discipline of Science have taken Social Work

∴The total
no. of students from the discipline of Science who took Social Work

=
7600 × (35/100)

=
2660 ………. (5)

Given
that 43% of the students from the discipline of Science have taken Physical
Training

∴The total
no. of students from the discipline of Science who took Physical Training

=
7600 × (43/100)

=3268
………. (6)

∴The total
number of students who have taken Social Work and Physical Training from all
the three disciplines = 1140 + 1425 + 2926 + 1862 + 2660 + 3268

=
13281 [∵From (1),
(2), (3), (4), (5) and (6)]

**15. B)**The ratio of the total number of students from the discipline of Commerce to those from of Science= [19000 × (35/100)] : [19000 × (40/100)]

=
35 : 40 = 7 : 8