Quantitative Aptitude

General Questions

Quantitative Aptitude Exercise Mode

General Questions

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Question 21
At present, Palash is three times Arnav's age. After 7 yr, Palash will be twice Arnav's age, then how many times will Palash's age be in another 14 yr time with respect to Arnav's age then ?

A
1
B
3
C
2
D
1.5
Correct Answer: Option A

Let Arnav's age = x yr

Then, Palash's age = 3x yr

According to the question,

3x + 7 = 2(x + 7)

 3x + 7 = 2x +14

 x = 7

 Age of Arnav after 14 yr = 7 + 14 = 21 yr
and Palash's present age = 21 yr

Hence, Palash's age is one time of Arnav's age.

Question 22
10 yr before, the ratio of ages of A and B was 13 : 17. After 17 yr from now, the ratio of their age will be 10 : 11. the present age of B is :

A
23 yr
B
40 yr
C
27 yr
D
44 yr
E
None of the above
Correct Answer: Option C

Let the age of A and B 10 yr before were 13x yr and 17x yr, respectively.

Then, present age of A = 13x + 10
and present age of B = 17x + 10

According to the question,

Then, 13x + 10 + 17 = 10
17x + 10 + 17 13

  13x + 27 = 10
17x + 27 11

143x + 297 = 170x + 2700

27x = 27

x = 1

Hence, present age of B = 17 x 1
                                     = 27 yr

Question 23
The average age of a family of five members is 24. If the present age of the youngest member is 8 yr, what was the average age of the family at a time of the birth of the youngest member ?

A
20 yr
B
16 yr
C
12 yr
D
18 yr
E
21 yr
Correct Answer: Option A

Total age of five members of a family = 24 x 5 = 120

Total age of four members at the time of birth of youngest

      = 120 - 8 x 5

      = 120 - 40 = 80 yr

Hence, required average age = 80/4 = 20 yr

Question 24
The difference between the ages of Meena and Seema is 3 yr and the ratio between their ages is 7 : 8. What is the sum of their ages?

A
43 yr
B
41 yr
C
45 yr
D
48 yr
E
47 yr
Correct Answer: Option C

Let ages of Meena and Seema are 7x yr
and 8x yr, respectively.

 8x - 7x = 3

x = 3

Hence, required sum = 8x + 7x
                               = 15 x 3 = 45 yr

Question 25
3 yr before, the average age of a family of 5 members was 17 yr. Due to birth of a new child, the average age is same today. The present age of child is :

A
1 yr
B
3 yr
C
2.5 yr
D
2 yr
Correct Answer: Option D

3 yr before,
Total age of 5 members = 17 x 5 = 85 yr

The present age of all members of family = 85 + 3 x 5 = 100 yr

Let the age of child be x yr.
Present average age of family including the child = (100 + x) / 6

 100 + x = 17
6 1

x = 102 - 100 = 2 yr

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