Problems on Ages Aptitude Questions and Answers
This section focuses on "Problems on Ages" in Quantitative Aptitude. These Multiple Choice Questions (mcq) should be practiced to improve the Quantitative Aptitude skills required for various interviews (campus interviews, walk-in interviews, company interviews), placements, entrance exams and other competitive examinations.
1. What is Kishore present age, if after 30 years his age will be 15times of his age 15 years back.
A. 18 yrs
B. 18.2 yrs
C. 19 yrs
D. 20.2 yrs
View Answer
Ans : B
Explanation: Let kishore’s present age be x
kishore’s age before 15 years = (x - 15)
kishore’s’s age after 30 years = (x + 30)
We are given that,
kishore’s’s age after 30 years (x + 30) is 15 times his age 15 years back (x – 15)
Therefore,
(x + 30) = 15 (x – 15)
Solving the equation, we get
x + 30 =15x –225
14x = 255
x = 18.2 years
2. Amit is 18 years elder than Rohit. If 8 years ago, Amit was 6 times as old as Rohit, then find Amit’s present
age.
A. 28.4 yrs
B. 29.6 yrs
C. 29.9 yrs
D. 31.3yrs
View Answer
Ans : B
Explanation: Let age of Rohit be y
Amit is 18 years elder than Rohit = (y + 18).
SoAmit’s age 8 years ago = (y + 18 – 8)
Rohit’s age before 8 years = (y – 8)
8 years ago, Amit is 6 times as old as Rohit
(y + 18 – 8) = 6 (y – 8)
(y + 10) = (6y – 48)
5y = 58
y = 11.6
Rohit’s age = 11.6years
Amit’s age = (y + 18) = (11.6 + 18) = 29.6years
3. The father's age 7years ago was 11 times the age of his daughter. At present the father's age is 7 times
that of his daughter. Find the daughter's present age.
A. 17.5 yrs
B. 18 yrs
C. 18.5 yrs
D. 19 yrs
View Answer
Ans : A
Explanation: At present the father's age is 7 times that of his daughter
i.e. Father's present age = 7x.
Father's age 7 years ago was 11 times the age of his daughter
(7x – 7) = 11 * (x – 7)
x = 17.5 years,
The daughter's present age = 17.5 years
4. 12 years ago M was half of N in age. If the ratio of their present ages is 4 : 5, what will be the total of their
present ages
A. 36 yrs
B. 35 yrs
C. 39 yrs
D. 33 yrs
View Answer
Ans : A
Explanation: Let M's age 12 years ago = x years.
Then, N's age 12 years ago = 2x years.
(x + 12) / (2x+ l2) = 4/5
=> x = 4.
So, the total of their present ages =(x + 12 + 2x + 12)
= (3x + 24) = 36 years.
5. Mani is 32years older than his son Dinesh. In 4 years, his age will be twice the age of his son. The present
age of his son is
A. 20 yrs
B. 24 yrs
C. 28 yrs
D. 32 yrs
View Answer
Ans : C
Explanation: Let the son's present age be x years.
Then, mani's present age = (x + 32) years
=> (x + 32) + 4 = 2(x + 4)
=> x + 36 = 2x + 8
So, x = 28
6. The total age of x and y is 48 years more than the total age of y and z. z is how many year younger than x
A. 45 yrs
B. 46 yrs
C. 47 yrs
D. 48 yrs
View Answer
Ans : D
Explanation: Given that x+y = 48 + y+ z
x – z= 48 + y – y = 48
z is younger than x by 48 years
7. Ratio of ages of three girls are 5:8:10, six years ago, the sum of their ages was 28. Find their present
ages.
A. 10,16,20
B. 12,16,20
C. 10,14,18
D. 10,12,16
View Answer
Ans : A
Explanation: Let the present ages are 5x, 8x, 10x.
=> (5x-6) + (8x-6) + (10x-6) = 28
=> 23x = 46
=> x = 2
So their present ages are: 10,16,20
8. Eight years ago, the ratio of the ages of micky and Donald was 6:5, 12years hence, the ratio of their ages will be 11:10. What is Donald age at present
A. 16
B. 24
C. 28
D. 44
View Answer
Ans : C
Explanation: Let 8 years ago the age of Micky and Donald be 6x and 5x resp.
then,
((6x+8)+12) / ((5x+8)+12) = 11/10
10(6x+20) = 11(5x+20)
5x = 20 => x = 4
So Donald age is (5x+8) = 28
9. Shyam is younger than Sharuk by 22 years. If the ratio of their ages is 5:7, find the age of Shyam
A. 55
B. 77
C. 66
D. 88
View Answer
Ans : A
Explanation: If sharuk age is x, then Shyam age is x-22,
so (x-22)/x = 5/7
=> 7x-154 = 5x
=> 2x = 154
=> x = 77
So shyam age is 77 - 22 = 55
10. Keerthi's grandfather was 16 times older to her 32 years ago. He would be 6times of her age 16 years
from now. What was ratio of ages of keerthi and her grandfather 16 years ago.
A. 1:10
B. 11:10
C. 10:11
D. 10:11
View Answer
Ans : A
Explanation: Let, keerthi's age 32 years ago = x,
Grandfather's age 32 years ago = 16x.
16 years from now, 6(x+32+16) = (16x+32+16)
=> x = 24
16 years ago ratio was:
(x+16)/ (16x+16) = (24+16) / (16*24+16)
40 /400 = >1 :10
11. The ratio between the present ages of M and N is 8:9. If N is 6 years old than M, what will be the ratio of
the ages of M and N after 6 years
A. 7:9
B. 9:7
C. 9:10
D. 10:9
View Answer
Ans : C
Explanation: Let M age and N age be 8x years and 9x years.
Then 9x - 8x = 6 <=> x = 6
So required ratio will be (8x+6): (9x+6)
54:60
9:10
12. Total of the ages of P, Q and R at present is 99 years. Eight years ago, the ratio of their ages was 4: 5: 6.
What is the age of Q at present
A. 44
B. 30
C. 45
D. 33
View Answer
Ans : D
Explanation: Let their ages 8 years ago is4x, 5x and 6x years.
4x+8+5x + 8 + 6x + 8= 99
hence x= 5
Q’s present age = (5x + 8)
=33 years
13. The sum of the current ages of two persons M and N is 129. If the age of M is twice that of N, find the sum
of their ages 8 years hence.
A. 125
B. 145
C. 137
D. 149
View Answer
Ans : B
Explanation: M+N=129
Given M=2N
From Which N =43,M=86
8 years their age will be 51 and 94
so the sum of their ages is 145
14. The sum of ages of 4 puppies born at the intervals of 2 years each is 48 years. What is the age of the
youngest puppy?
A. 8yrs
B. 9yrs
C. 10yrs
D. 12yrs
View Answer
Ans : B
Explanation: Let the ages of puppies be x, (x + 2), (x + 4)and (x + 6) years.
Then, x + (x + 2) + (x + 4) + (x + 6) = 48
4x = 36,x = 9
Age of the youngest puppy = x = 9 years
15. Vasu said to his son, ""I was as old as you at the time of your birth"". If vasu’s age is 76 years now, the
son's age ten years back was:
A. 14 yrs
B. 19yrs
C. 33yrs
D. 28yrs
View Answer
Ans : D
Explanation: Let the son's present age be x years.
Then, (76 - x) = x
2x = 76
x = 38
Son's age 10 years back (38-10) = 28 years
16. P is 6 years older than Q who is twice as old as R. If the total of the ages of P, Q and R be 81, the how
old is Q?
A. 27
B. 28
C. 29
D. 30
View Answer
Ans : D
Explanation: Let R's age be x years.
Then, Q's age = 2x years.
P's age = (2x + 6) years.
(2x + 6) + 2x + x = 81
5x = 75=> x =15.
Hence, Q's age = 2x = 30 years
17. Fathima's father was 76 years of age when she was born while her mother was 72years old when her
brother 8 years younger to her was born. What is the difference between the ages of her parents?
A. 12 yrs
B. 14 yrs
C. 16 yrs
D. 18 yrs
View Answer
Ans : A
Explanation: Mother's age when Fathima's brother was born = 72 years.
Father's age when Fathima's brother was born = (76+8) years = 84 years.
Required difference = (84-72) years = 12 years
18. 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, then how old is B?
A. 8
B. 9
C. 10
D. 11
View Answer
Ans : C
Explanation: 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.
19. A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is
A. 14 yrs
B. 18 yrs
C. 20 yrs
D. 22 yrs
View Answer
Ans : D
Explanation: Let the son's present age be x years.
Then, man's present age = (x + 24) years.
(x + 24) + 2 = 2(x + 2)
x + 26 = 2x + 4
x = 22.
20. The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:
A. 12 yrs
B. 14 yrs
C. 18 yrs
D. 20 yrs
View Answer
Ans : D
Explanation: Let the present ages of son and father be x and (60 -x) years respectively.
Then, (60 - x) - 6 = 5(x - 6)
54 - x = 5x - 30
6x = 84
x = 14.
Son's age after 6 years = (x+ 6) = 20 years.
Discussion