Quantitative Aptitude

General Questions

Quantitative Aptitude Exercise Mode

General Questions

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Question 11
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?

A
7
B
8
C
9
D
10
E
11
Correct Answer: Option D

Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.

(2x + 2) + 2x + x = 27

5x = 25

x = 5.

Hence, B's age = 2x = 10 years.

Question 12
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:

A
14 years
B
19 years
C
33 years
D
38 years
Correct Answer: Option A

Let the son's present age be x years. Then, (38 - x) = x

2x = 38.

x = 19.

Son's age 5 years back (19 - 5) = 14 years.

Question 13
The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:

A
5 : 2
B
7 : 3
C
9 : 2
D
13 : 4
Correct Answer: Option B

Let the ages of father and son 10 years ago be 3x and x years respectively.

Then, (3x + 10) + 10 = 2[(x + 10) + 10]

3x + 20 = 2x + 40

x = 20.

Required ratio = (3x + 10) : (x + 10) = 70 : 30 = 7 : 3.

Question 14
Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?

A
1 years
B
2 years
C
25 years
D
Data inadequate
E
None of these
Correct Answer: Option D

Given that:

1. The difference of age b/w R and Q = The difference of age b/w Q and T.

2. Sum of age of R and T is 50 i.e. (R + T) = 50.

Question: R - Q = ?.

Explanation:

R - Q = Q - T

(R + T) = 2Q

Now given that, (R + T) = 50

So, 50 = 2Q and therefore Q = 25.

Question is (R - Q) = ?

Here we know the value(age) of Q (25), but we don't know the age of R.

Therefore, (R-Q) cannot be determined.

Question 15
Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?

A
2 years
B
4 years
C
6 years
D
8 years
Correct Answer: Option C

Mother's age when Ayesha's brother was born = 36 years.

Father's age when Ayesha's brother was born = (38 + 4) years = 42 years.

Required difference = (42 - 36) years = 6 years.

Question 16
The present ages of two persons are 36 and 50 yr, respectively. If after n yr the ratio of their ages will be 3 : 4, then the value of n is :

A
3
B
4
C
7
D
6
Correct Answer: Option D

According to the question,

Then, 36 + n = 3
50+ n 4

144 + 4n = 150 + 3n

n = 6

Question 17
The ratio of the ages of Ram and Rahim 10 yr ago was 1 : 3. The ratio of their ages five years hence will be 2 : 3. Then, the ratio of their present ages is :

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

Let 10 yr ago, ages of Ram and Rahim were x yr and 3x yr, respectively.

Then, present age of Ram = (x + 10)

And present age of Rahim = (3x + 10)

According to the question,

According to the question,

Then, x + 10 + 5 = 2
3x + 10 + 5 3

3x + 45 = 6x + 30

3x = 15

x = 5

Hence, Required ratio

Then, 5 + 10 = 15
3 x 5 + 10 25

           = 3 : 5

Question 18
Ravi's brother is 3 yr elder to him. His father was 28 yr of age when his sister was born, while his mother was 26 yr of age when he was born. If his sister was 4 yr of age when his brother was born, the ages of Ravi's father and mother respectively when his brother was born were :

A
32 yr and 23 yr
B
32 yr and 29 yr
C
35 yr and 29 yr
D
35 yr and 33 yr
Correct Answer: Option A

When Ravi was born, his mother's age was 26 yr and his elder brother was 3 yr elder to him.

Mother's age when brother was born = 26 - 3 = 23 yr

Ravi's father was 28 yr of age when his sister was born and his sister was 4 yr of age when his brother was born.

Age of father when brother was born = 28 + 4 = 32 yr

Question 19
The age of a man after 15 yr is 4 times the age of that man 15 yr before. His present age is :

A
10 yr
B
15 yr
C
20 yr
D
25 yr
Correct Answer: Option D

Let present age of man be x yr.
According to the question,

x + 15 = 4(x - 15)

x + 15 = 4x - 60

3x = 75

x = 25

Question 20
The present age of Ravi's father is four times Ravi's present age. Five years back, Ravi's father was seven times as old as Ravi was at that time. What is the present age of Ravi's father ?

A
84 yr
B
70 yr
C
40 yr
D
35 yr
Correct Answer: Option C

Let present age of Ravi be x.
Then, present age of Ravi's father = 4x
Now, 5 yr ago,
Ravi's father age = 7 x Ravi's age
4x - 5 = 7(x - 5)
4x - 5 = 7x - 35
3x = 30
 x = 10
Ravi's present age = x = 10 yr
Ravi's father's present age 4x = 4 x 10 = 40 yr

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