Quantitative Aptitude Problems for IBPS Clerk (Set – 5)
Directions (1 – 5): Study the following graphs and table carefully
and answer accordingly:
The
following piecharts show the percentage number of students passed in ICSE’s
Class X and Class XII examination in 2015 from different cities
City↓

X

XII


Boys

Girls

Boys

Girls


Delhi

2

3

3

5

Kolkata

9

8

7

8

Mumbai

4

7

3

5

Chennai

13

11

9

7

Ahmedabad

7

5

4

7

Hyderabad

12

13

5

8

Others

5

9

7

8

1. Find the difference between the number of boys passing from Kolkata
and Hyderabad, if there are 17000 students passing from Chennai in X exam.
A) 964
B) 1012
C) 832
D) 800
E) None of these
2. In X exam, if 1.20 lakh total students pass, then what will be the
approximate number of boys passing in the remaining part(others) of the
country?
A) 10600
B) 10720
C) 10840
D) 10680
E) 10760
3. If the difference between the number of boys passing from Chennai and
that from Delhi in XII exam is 3630, find the total number of students passed
in XII exam in 2015.
A) 72000
B) 88000
C) 90000
D) Can’t say
E) 80000
4. Which of the following cities shows the maximum percentage of girls
passing (with respect to total students passing in that city) in X examination?
A) Delhi
B) Mumbai
C) Chennai
D) Others
E) Hyderabad
5. If 9000 students passed in XII exam from Mumbai, then find the number
of girls passing from Delhi in the same exam.
A) 9600
B) 5760
C) 6000
D) Data inadequate
E) None of these
Directions (6 – 10): Study the information carefully to answer the
questions that follow.
In
Petro Cup of PDP University, there are 5 sports viz. Basketball, Cricket,
Chess, Badminton and Kabaddi. There is a total number of 1000 players
participating in the sports event. The ratio between female and male players is
3 : 7 respectively. Twenty five per cent of the total players are in Cricket.
There are 112 badminton players. 30 per cent of the total players are in Chess.
Badminton players are 56% in number of Basketball players. Remaining players
are in Kabaddi. 28 percent of cricket players are females. Number of male
badminton players is one fifth of the number of male cricketers. Half the
female badminton players are equal to female kabaddi players. 50% of total
badminton players is equal to number of female players in Basketball.
6. Number of female players in Basketball is approximately what percent
of male players in Kabaddi?
A) 50
B) 56
C) 150
D) 23
E) 40
7. What is the difference between the male players in Kabaddi and total
number of male players in Chess?
A) 140
B) 200
C) 204
D) 80
E) None of these
8. In which sports female players are maximum and male players are
minimum respectively?
A) Cricket and Basketball
B) Cricket and Badminton
C) Kabaddi and Chess
D) Badminton and Badminton
E)Chess and Kabaddi
9. What is the total number of males in Basketball, Cricket, Chess and
Kabaddi together?
A) 600
B) 664
C) 460
D) 520
E) None of these
10. What is the respective ratio between the female players in
Basketball and the male players in Badminton?
A) 20 : 13
B) 14 : 9
C) 13 : 7
D) 11 : 23
E) None of these
Solutions:
1.
E) Let’s assume that the
total number of students passing the X examination is x.
∵ There are 17000 students passing from Chennai in X exam,
∴ 20% of x = 17000
⇒ x = 85000
Number of students passing from Kolkata = 10% of
85000
∵ the ratio of passed boys to passed girls in
Kolkata is 9 : 8,
Number of boys passing from Kolkata = [9/(9 + 8)] of 10% of 85000 = (9/17) of 10% of 85000
Similarly, number of students passing from Hyderabad
= 8% of 85000
∵ the ratio of passed boys to passed girls in
Hyderabad is 12 : 13,
Number of boys passing from Hyderabad = [12/(12 +
13)] of 8% of 85000 = (12/25) of 10% of 85000
Difference between the number of boys passing from
Kolkata and Hyderabad
= (9/17) of 10% of 85000 – (12/25) of 10% of 85000
= 9/17 × 10/100 × 85000 – 12/25 × 10/100 × 85000
= 4500 – 3264 = 1236
2.
B) Total number of students passing in class X
exam = 120000
Number of passed students in the remaining part of
the country = 25% of 120000
= (25/100) × 120000 = 30000
∵ the ratio of passed boys to passed girls in
the remaining part of country is 5 : 9,
Number of boys passing in class X exam in rest part
of the country = 5/(5+9) of 30000
= (5/14) × 30000 = 10714 ≈ 10720
3.
B) Let’s assume that the total number of students
passing the XII examination is x.
Number of students passing from Chennai = 18% of x
∵ the ratio of boys to girls passing the XII
examination is 9 : 7 in Chennai,
number of boys passing from Chennai = 9/(9+7) of
18% of x = (9/16) of 18% of x
Similarly, number of students passing from Delhi =
16% of x
∵ the ratio of boys to girls passing the XII
examination is number of boys passing from Chennai = 3/(3+5) of 16% of x =
(3/8) of 16% of x
According to the information given in the problem,
the difference between the number of boys passing from Chennai and that from
Delhi in XII exam is 3630.
∴ (9/16) of 18% of x – (3/8) of
16% of x = 3630
⇒ [(9/16 × 18) – (3/8 × 16)] × x/100 = 3630
⇒ (81/8 – 6) × x = 3630 × 100
⇒ 33/8 × x = 363000
⇒ x = 363000 × (8/33)
⇒ x = 88000
4. D)
Let’s assume that the total number of students
passing the X examination is y.
City

Percentage of
students passing from that city
(a)

Number of
students passing from a city
(b = a% of y)

Ratio of boys
to girls in a city
(p:q)

Number of
girls passing from a city
=q/(p+q)×b

Ratio of
girls to total students
(b/y)

Delhi

18

0.18y

2 : 3

0.108 y

0.1080

Mumbai

12

0.12y

4 : 7

0.0764 y

0.0764

Chennai

20

0.2y

13 : 11

0.0917 y

0.0917

Rest

25

0.25y

5 : 9

0.1607 y

0.1607

Hyderabad

8

0.08y

12 : 13

0.0416 y

0.0416

Clearly, the ratio of Number of girls passing with
respect to total number of students is the maximum in other states.
5.
C) Let’s assume that the total number of students
from all the states is x.
Number of students passing class XII from Mumbai =
15% of x
∴ 9000 = 15% of x = 0.15 × x ⇒ x = 60000
Now, number of students passing from Delhi in the
same exam = 16% of 60000
= (16/100) × 60000 = 9600
∵ Ratio of boys and girls passing from Delhi in
this exam is 3 : 5,
∴ Number of girls passing from Delhi in the
same exam = 5/(5 + 3) × 9600 = 6000
(6 –
10):
∵ Total number of players = 1000
Since ratio between female and male players is 3 : 7
∴ Number of female players =3/10 × 1000 = 300
∴ Number of male players = 1000  300 = 700
Since 25% of the total players are in Cricket
∴ Number of
cricket players = 25% of 1000 = 250
Since 28 per cent of cricket players are female
∴ Number of female cricket players = 28% of 250
= 70
∴ Number of male cricket players = 250  70 =
180
∴ Number of
Badminton players = 112
Since number of male badminton players is one fifth
of male cricketers,
Number of male badminton players = 180/5 = 36
∴ Number of female badminton players = 112  36
= 76
Since 30 per cent of the total players are in Chess,
∴ Number of
Chess players = 30% of 1000 = 300
Since Badminton players are 56% in number of
Basketball players,
Number
of Basketball players =100/56 × 112 = 200
Since 50% of total badminton players is equal to
number of female players in Basketball,
Number of female Basketball players = 50% of 112 =
56
∴ Number of male Basketball players = 200  56
= 144
Since remaining players are in Kabaddi,
Number
of Kabaddi players = 1000  (250 + 112 + 300 + 200)
1000
 862 = 138
Number of female Kabaddi players = 76/2 = 38
∴ Number of male Kabaddi players = 138  38 =
100
Clearly, Number of female Chess players
= 300  (70 + 76 + 56 + 38) = 60
Number of male Chess players = 300  60 = 240
6.
B) Required percentage =
56/100 × 100 = 56%
7.
A) The required difference = males in Chess 
Males in Kabaddi = 240  100 = 140
8.
D) In Badminton female players are maximum and male
players are minimum as well.
9. B) total number of males in Basketball, Cricket, Chess and Kabaddi together
= 144 + 180 + 240 + 100 = 664
10.
B) required ratio = female Basketball players :
male Badminton players = 56 : 36 = 14 : 9