Aptitude Problems on Ages Online Test, Free Aptitude Quiz

Let Ronit’s present age be x years. Then, father’s present age =(x + 3x) years = 4x years.
∴ (4x + 8) = 5/2 (x + 8)
⇒ 8x + 16 = 5x + 40
⇒ 3x = 24
⇒ x = 8.
Hence, required ratio = (4x+16) / (x+16) = 48/24 = 2.

Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.
Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50
⇒ 5x = 20
⇒ x = 4.
∴ Age of the youngest child = x = 4 years.

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.

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.

Let the present ages of Sameer and Anand be 5x years and 4x years respectively.
Then, 5x+3 / 4x+3 = 11/9
⇒ 9(5x + 3) = 11(4x + 3)
⇒ 45x + 27 = 44x + 33
⇒ 45x – 44x = 33 – 27
⇒ x = 6.
∴ Anand’s present age = 4x = 24 years.

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.

Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively.
Then,(6x+6)+4 / (5x+6)+4 = 11/10
⇒ 10(6x + 10) = 11(5x + 10)
⇒ 5x = 10
⇒ x = 2.
∴ Sagar’s present age = (5x + 6) = 16 years.

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..

Let the present ages of Arun and Deepak be 4x years and 3x years respectively. Then,
4x + 6 = 26     ⇔      4x = 20
x = 5.
∴ Deepak’s age = 3x = 15 years.

Let Rahul’s age be x years.
Then, Sachin’s age = (x – 7) years.
∴  x-7/x = 7/9
⇒ 9x – 63 = 7x
⇒ 2x = 63
⇒ x = 31.5
Hence, Sachin’s age =(x – 7) = 24.5 years.

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.

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.

Let the mother’s present age be x years.
Then, the person’s present age = (2/5x)years.
∴ (2/5x+8) = 1/2(x+8)
⇒ 2(2x + 40) = 5(x + 8)
⇒ x = 40.

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.

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.

I. S = 5D D = S/5 ….(i)
II. S – 5 = 25 (D – 5)    ⇔      S = 25D – 120 ….(ii)
Using (i) in (ii), we get S = (25 × S/5) – 120
⇒ 4S = 120.
⇒ S = 30.
Thus, I and II both together give the answer. So, correct answer is (E).

I. Retirement age is 60 years.
II. There are 50 employees in the department.
Average age of 50 employees = 30 years.
Total age of 50 employees = (50 x 30) years = 1500 years.
Number of employees next year = 40.
Total age of 40 employees next year (1500 + 40 – 60 x 10) = 940.
Average age next year = 940/40 years = 23.5 years.
Thus, I and II together give the answer. So, correct answer is (E).

Let Divya’s present age be D years and Shruti’s present age b S years
Then, D = 2 x S     ⇔        D – 2S = 0 ….(i)
I. D + 5 / S + 5 = 9/5 ….(ii)
II. D – 10 / S – 10 = 3/1 ….(iii)
From (ii), we get : 5D + 25 = 9S + 45     ⇔       5D – 9S = 20 ….(iv)
From (iii), we get : D – 10 = 3S – 30      ⇔       D – 3S = -20 ….(v)
Thus, from (i) and (ii), we get the answer.
Also, from (i) and (iii), we get the answer.
∴ I alone as well as II alone give the answer. Hence, the correct answer is (C).

I. 5 years ago, Arun’s age = 2 x His son’s age.
II. Let the present ages of Arun and his son be 11x and 6x years respectively.
III. 5 years hence, Arun’s Age / Son’s age = 12/7
Clearly, any two of the above will give Arun’s present age.
∴ Correct answer is (D).

I. Let Ravi’s present age be x years. Then, his father’s present age = 2x years.
II. After 5 years, Ravi’s age / Father’s age = 6/11
III. Ravi is younger than his brother.
From I and II, we get x + 5 / 2x + 5 = 6/11 . This gives x, the answer.
Thus, I and II together give the answer. Clearly, III is redundant.
Correct answer is (A).