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Number of Questions: 20
Time: 20 Minutes
Category: Aptitude
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Question 1 of 20
1. Question
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:
Correct
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.
Incorrect
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 2 of 20
2. Question
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:
Correct
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.
Incorrect
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.

Question 3 of 20
3. Question
The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
Correct
Let their present ages be 4x, 7x and 9x years respectively.
Then, (4x – 8) + (7x – 8) + (9x – 8) = 56
20x = 80
x = 4.
Their present ages are 4x = 16 years, 7x = 28 years and 9x = 36 years respectively.
Incorrect
Let their present ages be 4x, 7x and 9x years respectively.
Then, (4x – 8) + (7x – 8) + (9x – 8) = 56
20x = 80
x = 4.
Their present ages are 4x = 16 years, 7x = 28 years and 9x = 36 years respectively.

Question 4 of 20
4. Question
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:
Correct
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.
Incorrect
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 5 of 20
5. Question
The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years
Correct
Let P age and Q age is 6x years and 7x years.
Then 7x – 6x = 4 <=> x = 4So required ratio will be (6x+4): (7x+4) => 28:32 => 7:8
Incorrect
Let P age and Q age is 6x years and 7x years.
Then 7x – 6x = 4 <=> x = 4So required ratio will be (6x+4): (7x+4) => 28:32 => 7:8

Question 6 of 20
6. Question
The total age of A and B is 12 years more than the total age of B and C. C is how many year younger than A
Correct
Given that A+B = 12 + B + C
=> A – C = 12 + B – B = 12
=> C is younger than A by 12 yearsIncorrect
Given that A+B = 12 + B + C
=> A – C = 12 + B – B = 12
=> C is younger than A by 12 years 
Question 7 of 20
7. Question
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
Correct
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
So, x = 22Incorrect
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
So, x = 22 
Question 8 of 20
8. Question
Which of following statements are required to answer the Actual age of Abhinav ?
1. Five years ago, Abhinav’s age was double that of his son’s age at that time.
2. Present ages of Abhinav and his son are in the ratio of 11 : 6 respectively.
3. Five years hence, the respective ratio of Abhinav age and his son’s age will become 12 : 7.Correct
From 2nd we get, Present ages of Abhinav and his son is 11x and 6x,
From 1st we get, Abhinav’s present age = 2 * Son’s age
From 3rd we get, 5 years hence, Abhinav age / Son’s age = 12 / 7
From clearly we can get Abhinav age from any of two equations.
Incorrect
From 2nd we get, Present ages of Abhinav and his son is 11x and 6x,
From 1st we get, Abhinav’s present age = 2 * Son’s age
From 3rd we get, 5 years hence, Abhinav age / Son’s age = 12 / 7
From clearly we can get Abhinav age from any of two equations.

Question 9 of 20
9. Question
20 years ago my age was 1/3 of what it is now. What is my present age ?
Correct
Let my present age be x years.
∵ x – 20 = x / 3
⇒ 3x – 60 = x
⇒ 2x = 60
∴ My present age = x = 30 yearsIncorrect
Let my present age be x years.
∵ x – 20 = x / 3
⇒ 3x – 60 = x
⇒ 2x = 60
∴ My present age = x = 30 years 
Question 10 of 20
10. Question
The present ages of Reena and Usha are 24 and 36 yr. respectively . What was the ratio between the ages of Usha and Reena respectively 8 yr ago ?
Correct
Required ratio = (36 – 8)/(24 – 8) = 28/16 = 7 : 4
Incorrect
Required ratio = (36 – 8)/(24 – 8) = 28/16 = 7 : 4

Question 11 of 20
11. Question
Rajeev’s age after 15 years will be 5 times his age 5 years back. What is the present age of Rajeev ?
Correct
Let Rajeev’s present age be x years. Then,
Rajeev’s age after 15 years = (x + 15) years.
Rajeev’s age 5 years back = (x – 5) years.
:. x + 15 = 5 (x – 5) óx + 15 = 5x – 25 ó 4x = 40 ó x = 10.
Hence, Rajeev’s present age = 10 years.
Incorrect
Let Rajeev’s present age be x years. Then,
Rajeev’s age after 15 years = (x + 15) years.
Rajeev’s age 5 years back = (x – 5) years.
:. x + 15 = 5 (x – 5) óx + 15 = 5x – 25 ó 4x = 40 ó x = 10.
Hence, Rajeev’s present age = 10 years.

Question 12 of 20
12. Question
The ages of two persons differ by 16 years. If 6 years ago, the elder one be 3 times as old as the younger one, find their present ages.
Correct
Let the age of the younger person be x years.
Then, age of the elder person = (x + 16) years.
:. 3 (x – 6) = (x + 16 – 6)
3x 18 = x + 10
2x = 28
x = 14.
Hence, their present ages are 14 years and 30 years
Incorrect
Let the age of the younger person be x years.
Then, age of the elder person = (x + 16) years.
:. 3 (x – 6) = (x + 16 – 6)
3x 18 = x + 10
2x = 28
x = 14.
Hence, their present ages are 14 years and 30 years

Question 13 of 20
13. Question
The product of the ages of Ankit and Nikita is 240. If twice the age of Nikita is more than Ankit’s age by 4 years, what is Nikita’s age?
Correct
Let Ankit’s age be x years. Then, Nikita’s age = 240/x years.
2 x (240 /x ) – x = 4=
480 – x^{2} = 4x
x^{2} + 4x – 480 = 0
( x+24)(x20) = 0
x = 20.
Hence, Nikita’s age = (240/20) years = 12 years
Incorrect
Let Ankit’s age be x years. Then, Nikita’s age = 240/x years.
2 x (240 /x ) – x = 4=
480 – x^{2} = 4x
x^{2} + 4x – 480 = 0
( x+24)(x20) = 0
x = 20.
Hence, Nikita’s age = (240/20) years = 12 years

Question 14 of 20
14. Question
The present age of a father is 3 years more than three times the age of his son. Three years hence, father’s age will be 10 years more than twice the age of the son. Find the present age of the father.
Correct
Let the son’s present age be x years. Then, father’s present age = (3x + 3) years
(3x + 3 + 3) = 2 (x + 3) + 10 ó 3x + 6 = 2x + 16 ó x = 10.
Hence, father’s present age = (3x + 3) = ((3 ´ 10) + 3) years = 33 years.
Incorrect
Let the son’s present age be x years. Then, father’s present age = (3x + 3) years
(3x + 3 + 3) = 2 (x + 3) + 10 ó 3x + 6 = 2x + 16 ó x = 10.
Hence, father’s present age = (3x + 3) = ((3 ´ 10) + 3) years = 33 years.

Question 15 of 20
15. Question
Rohit was 4 times as old as his son 8 years ago. After 8 years, Rohit will be twice as old as his son. What are their present ages?
Correct
Let son’s age 8 years ago be x years. Then, Rohit’s age 8 years ago = 4x years.
Son’s age after 8 years = (x + 8) + 8 = (x + 16) years.
Rohit’s age after 8 years = (4x + 8) + 8 = (4x+ 16) years.
2 (x + 16) = 4x + 16
2x = 16
x = 8.
Hence, son’s ‘present age = (x + 8) = 16 years.
Rohit’s present age = (4x + 8) = 40 years
Incorrect
Let son’s age 8 years ago be x years. Then, Rohit’s age 8 years ago = 4x years.
Son’s age after 8 years = (x + 8) + 8 = (x + 16) years.
Rohit’s age after 8 years = (4x + 8) + 8 = (4x+ 16) years.
2 (x + 16) = 4x + 16
2x = 16
x = 8.
Hence, son’s ‘present age = (x + 8) = 16 years.
Rohit’s present age = (4x + 8) = 40 years

Question 16 of 20
16. Question
A person’s present age is twofifth of the age of his mother. After 8 years, he will be onehalf of the age of his mother. How old is the mother at present
Correct
Let the mother’s present age be x years.
Then, the person’s present age = (2/5 x) years.=> (2/5 x + 8/2) = 1 (x + 8)
=> 2(2x + 40) = 5(x + 8)
=> x = 40Incorrect
Let the mother’s present age be x years.
Then, the person’s present age = (2/5 x) years.=> (2/5 x + 8/2) = 1 (x + 8)
=> 2(2x + 40) = 5(x + 8)
=> x = 40 
Question 17 of 20
17. Question
he age of a person is thrice the total ages of his 2 daughters. 0.5 decades hence, his age will be twice of the total ages of his daughters. Then what is the father’s current age?
Correct
Let, Total of current ages of the 2 daughters is A years.
Then, father’s current age = 3A years.
(3A + 5) = 2 (A +10)
3A + 5 = 2A + 20
A = 15
Therefore, father’s current age = 45 years.Incorrect
Let, Total of current ages of the 2 daughters is A years.
Then, father’s current age = 3A years.
(3A + 5) = 2 (A +10)
3A + 5 = 2A + 20
A = 15
Therefore, father’s current age = 45 years. 
Question 18 of 20
18. Question
The ages of X and Y are in the proportion of 6:5 and total of their ages is 44 years. The proportion of their ages after 8 years will be
Correct
Let current ages of X and Y correspondingly, is 6A & 5A
Given: 6A + 5A = 44
=> A = 4
Proportion of ages after 0.8 decades will be
6A + 8 : 5A + 8
or, 32:28 or, 8:7Incorrect
Let current ages of X and Y correspondingly, is 6A & 5A
Given: 6A + 5A = 44
=> A = 4
Proportion of ages after 0.8 decades will be
6A + 8 : 5A + 8
or, 32:28 or, 8:7 
Question 19 of 20
19. Question
A mother said to her daughter, “I was as old as you are at now at the date of your birth.” If the mother’s age is 38 years now, the daughter’s age 5 years back was?
Correct
Daughter’s current age = A years
Then, (38 – A) = A
2A = 38
A = 19 years
Daughter’s age Five years back = (19 – 5) years
= 14 yearsIncorrect
Daughter’s current age = A years
Then, (38 – A) = A
2A = 38
A = 19 years
Daughter’s age Five years back = (19 – 5) years
= 14 years 
Question 20 of 20
20. Question
A guy was asked to specify his age in years. He said, “Take my age 3 years hence, multiply it by three and subtract thrice of my age 3 years ago and you will know my age.” What was the age of that guy?
Correct
Current age of the guy = A years.
Then, 3 (A + 3) – 3 (A – 3) = A
(3A + 9) – (3A – 9) = A
A = 18Incorrect
Current age of the guy = A years.
Then, 3 (A + 3) – 3 (A – 3) = A
(3A + 9) – (3A – 9) = A
A = 18