Quantitative Aptitude Practice Questions for IBPS PO Mains – Set 2

Quantitative Aptitude Practice Questions for IBPS PO Mains – Set 2
Directions (1 – 5): Read the below table carefully and answer the following questions.
The below table shows the number of boys learning different courses in various universities

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)]
We know that, to find `a’ is what percent of `b’ we have (a/b×100)%
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