Quantitative Aptitude

General Questions

Quantitative Aptitude Exercise Mode

General Questions

Practice and master this topic with our carefully crafted questions.

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Question 11
A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half. The number of pupils in the class is :

A
10
B
20
C
40
D
73
Correct Answer: Option C

Let there be x pupils in the class.

Total increase in marks = (x * 1/2) = x/2.

x/2 = (83 - 63) => x/2 = 20 => x = 40.

Question 12
In an examination, a pupil's average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination ?

A
8
B
9
C
10
D
11
E
12
Correct Answer: Option D

Let the number of papers be x. Then,
63x + 20 + 2 = 65x
(65x - 63x) = 22
x = 11

Question 13
The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girl is 15.4 years. The ratio of the number of boys to the number of girls in the class is :

A
1 : 2
B
2 : 3
C
3 : 4
D
3 : 5
Correct Answer: Option B

Let the ratio be k : 1. Then,

 k x 16.4 + 1 x 15.4 = (k + 1) x 15.8

<=> (16.4 - 15.8) k = (15.8 - 15.4)

<=> k = (0.4/0.6) = 2/3

Required ratio = 2/3 : 1 = 2 : 3

Question 14
The arithmetic mean of the scores of a group of students in a test was 52. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is :

A
45
B
50
C
51.4 approx
D
54.6 approx
Correct Answer: Option C

Let the required mean score be X. Then,

 20 x 80 + 25 x 31 + 55 x X = 52 x 100

<=> 1600 + 775 + 55X = 5200

<=> 55X = 2825

<=> X = (565/11) = 51.4

Question 15
The average salary of all the workers in a workshop is ₹ 8000. The average salary of 7 technicians is ₹ 12000 and the average salary of the rest is ₹ 6000. The total number of workers in the workshops is :

A
20
B
21
C
22
D
23
Correct Answer: Option B

Let the total number of workers be X. Then,
8000X = (12000 x 7) + 6000 (X - 7)
<=> 2000X = 42000
<=> X = 21

Question 16
10 years ago, the average age of a family of 4 members was 24 years. Two children having been born (with age different of 2 years), the present average age of the family is the same. The present age of the youngest child is :

A
1 year
B
2 years
C
3 years
D
5 years
Correct Answer: Option

Total age of 4 members, 10 years ago
= (24 x 4) years
= 96 years

Total age of 4 members now = (96 + 10 x 4) years
= 136 years.

Total age of 6 members now = (24 x 6) = 144 years.
Sum of the ages of 2 children = (144 - 136) years
= 8 years.

Let the age of the younger child be X years.

Then, age of the elder child = (X + 2) years.
So X + X + 2 = 8 <=> 2X = 6
<=> X = 3

Age of younger child = 3 years.

Question 17
A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, thereby increasing his average by 6 runs. His new average is :

A
48 runs
B
52 runs
C
55 runs
D
60 runs
Correct Answer: Option A

Let average for 10 innings be x.

Then, 10x + 108 = x + 6
11


 11x + 66 = 10x + 108

 x = 42

New average = (x + 6) = 48 runs.

Question 18
The average age of a husband and his wife was 23 years at the time of their marriage. After five years they have a one-year old child. The average age of the family now is :

A
19 years
B
23 years
C
28.5 years
D
29.3 years
Correct Answer: Option A

Sum of the present ages of husband, wife and child
= (23 x 2 + 5 x 2) + 1
= 57 years.

Required average = (57/3 )

= 19 years.

Question 19
A cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and thereby decreases his average by 0.4. The number of wickets taken by him till the last match was :

A
64
B
72
C
80
D
85
Correct Answer: Option D

Let the number of wickets taken till the last match be x.

Then, 12.4x + 26 = 12
x+5

12.4x + 26 = 12x + 60

0.4x = 34

 x = 34 = 85
0.4
Question 20
The average monthly salary of 20 employees in an organisation is ₹ 1500. If the manager's salary is added, then the average salary increases by ₹ 100. What is the manager's monthly salary ?

A
₹ 2000
B
₹ 2400
C
₹ 3600
D
₹ 4800
Correct Answer: Option C

Manager's monthly salary
= ₹ (1600 x 21 - 1500 x 20)
= ₹ 3600

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