Quantitative Aptitude Practice Questions for IBPS PO Mains –
Set 5
Directions
(1 – 5): Study the following graph and answer the questions below:
Percentage
number of students playing three different games in five different schools.
1. If the
total number of students in college B are 4600 and the number of students in
college C are 5 1/23% more than the number of students in college B then find
the ratio of the students who play cricket from college B to the number of
students who play football from college C ?
a) 4125 :
8889
b) 4025 :
8758
c) 8758 :
4025
d) 8889 :
4125
e) None of
these
2. Number
of students who play Cricket from college B are what % less than the number of
students who play Tennis and Footbal from the same college.
a) 59 2/3%
b) 61 1/9%
c) 63 4/9%
d) 62 2/3%
e) None of
these
3. Number
of males who likes football from college D is same as number of females who
likes Football from same college then find number of females who play football
are what % of number of students who play Tennis from the same college ?
a) 21%
b) 23%
c) 20%
d) 14%
e) None of
these
4. Find the
average of the number of students who likes football and cricket from school C
together if total number of students from college C are 81 11/69% of 6900.
a) 2240
b) 2245
c) 2255
d) 2250
e) 2247
5. Average
number of student from college A and college E are 1240 and the ratio of the
number of students from college A and college E are 3 : 2. Then number of
students who likes football from college A are approximately what percent of
the number of students who likes Tennis from college E ?
a) 246.12%
b) 243.63%
c) 246.43%
d) 256.20%
e) None of
these
Directions
(6 – 10): A company hired 5 new employees and offered them different salary.
The
gross salary of an employee consists of basic salary, fixed perks and variable
allowances. Every employee gets 5 types of variable allowances as different
percentages of Basic Salary
The
Table1 (Figures in Rs.) gives Basic Salary and fixed perks of each employee
and Bargraph gives the breakup of variable allowances of each employee in
percentage of basic salary
Name

Basic Salary

Fixed Perks

Rakesh

50000

20000

Mukesh

75000

20000

Mahesh

90000

25000

Anand

110000

30000

Sunil

120000

35000

6. If total
variable allowances is X% less than the sum of basic salary and fixed perks,
then for which employee the value of X is maximum?
a) Rakesh
b) Mukesh
c) Mahesh
d) Anand
e) Sunil
7. Which
employee gets the 2nd highest gross salary?
a) Rakesh
b) Mukesh
c) Mahesh
d) Anand
e) Sunil
8. Which
employee receives maximum variable allowance?
a) Rakesh
b) Mukesh
c) Mahesh
d) Anand
e) Sunil
9. The
total expense by company on BDA of the five employees is approximately what
percentage of total expenses on LTA of the five employees?
a) 75.4%
b) 132.6%
c) 85.5%
d) 112.8%
e) 97.2%
10. What is
the ratio of total expense of company on basic salary and fixed perks to that
of total expense of company on variable allowances over the five employees?
a) 125:126
b) 193:250
c) 250:193
d) 252:193
e) 193:252
Directions
(11 – 15): Read the following graph carefully and answer the questions that
follow.
75 million bottles of
colas were consumed in 1984 and 115 million in 1998.
11. If
Coke’s shares were to increase by 10% in 1999 with total sales remaining the
same, what would be the percentage reduction in the total shares of other
colas?
a) 1.7%
b) 4.2%
c) 6.1%
d) 3.3%
e) 2.9%
12. If
Coke’s sales for 1998 had been 30 million bottles, then with the distribution
shown in the chart remaining the same, the total sales in 1998 would be
greater/lower than the actual value by what percentage?
a) +40%
b) +95%
c) +86%
d) +92%
e) None of
these
13. What is
the Approximate central angle of the Coke sector in 1984?
a) 80
degrees
b) 75
degrees
c) 79
degrees
d) 78
degrees
e) None of
these
14. In
1999, if Parle’s market share was to become 30%, in a market of 125 million
bottles, what would be Approximate Parle’s percentage gain over 1998
sales?
a) 27%
b) 30%
c) 33%
d) 25%
e) None of
these
15. The
increase in the consumption of Parle drinks was (in million):
a) 14.8
b) 16.9
c) 15.25
d) 17.8
e) None of
these
Solutions:
1. B) No. of students in college C
= 105 1/23% of 4600 = 4832
Required
ratio = (28/100 × 4600) : (58/100 × 4832) = 1288 : 2802.52 = 4025 : 8758
2. B) Required %
= (72 – 28)/72 × 100 = 61 1/9%
3. E) No. of
females who play football from college D = 24/2% = 12%
Required
% = 12/62 × 100 = 19 11/31%
4. A) Total no.of
students from college = 81 11/69% of 6900 = 5600
Required
average = 1/2 [(58 + 22)/100 × 5600] = 1/2 × 4480 = 2240
5. C) No. of
students from college A = 3/5 × (1240 × 2) = 1488
No.
of students from college E = 2/5 × (1240 × 2) = 992
Required
% = [(46/100 × 1488)/(28/100 × 992)] × 100 = 246.43%
6. E)
7. C)
8. D)
9. B)
10. C)
11. A) Total sales
of coke in 1998 = 14 % of 115 million
=
14/100 × 115 = 16.1 million
Total
sales of remaining cola in 1998 = 11516.1 = 98.9 million
Now,
Cokes’ share increase by 10 % resulting in sales = 16.1 + 10% of 16.1 = 17.71
million
Sales
of remaining colas in 1999 = 115 – 17.71 million = 97.29 million
Difference
in sales of remaining colas = 98.9  97.29 million
12. C) Percentage
sales of coke in 1998 = 14%
∴ Actual
sales of coke in 1998 = 14/100 × 115 = 16.1 million
Given
sale = 30 million
Difference
= (30 – 16.1) = 13.9 million
Percentage
of change = 13.9/16.1 × 100% = 86.33%
13. C) Share of
coke in 1984 = 22 %
Angle
subtended by coke sector in 1984 = 22/100 × 360 = 79.2 ≈ 79°
14. B) Scenario 1
– 1998
Share
of Parle in total sales = 25%
Number
of bottles of Parle sold = 25/100 × 115 million = 28.75 million
Scenario
2 – 1999
Share
off Parle in total sales = 30% of 125 milion
Number
of bottles of Parle sold = 30/100 × 125 million = 37.5 million
Increase
= 37.5 – 28.75 million = 8.75 million
Percentage
increase = 8.75/28.75 × 100 = 30.4 % ~ 30 %
15. C) Scenario 1
– 1984
Share
of parle in total sales 18%
Number
of bottles of parle sold = (18/100) × 75 million = 13.5 million
Scenario
2 – 1998
Share
off parle in total sales = 25%
Number
of bottles of parle sold = (25/100) × 115 million = 28.75 million
Increase
= 28.75 – 13.5 million = 15.25 million