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Quantitative Aptitude

AGES MCQs

Problems On Ages

Total Questions : 432 | Page 3 of 44 pages
Question 21.

Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronits age. After further 8 years, how many times would he be of Ronits age?

  1.    2 times
  2.    \(2\frac{1}{2}\)
  3.    \(2\frac{3}{4}\)
  4.    3 times
 Discuss Question
Answer: Option A. -> 2 times

Let Ronit's present age be x years. Then, father's present age =(x + 3x) years = 4xyears.


Therefore (4x + 8) = \(\frac{5}{2}\left(x+8\right)\)


 8x + 16 = 5x + 40


 3x = 24


 x = 8.


Hence, required ratio =  \(\frac{(4x+16)}{(x+16)}\) =  \(\frac{48}{24}\)  = 2.

Question 22.

The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

  1.    4 years
  2.    8 years
  3.    10 years
  4.    None of these
 Discuss Question
Answer: Option A. -> 4 years

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.

Question 23.

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

  1.    14 years
  2.    19 years
  3.    33 years
  4.    38 years
 Discuss Question
Answer: Option A. -> 14 years

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


 2x = 38.


 x = 19.


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

Question 24.

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?

  1.    7
  2.    8
  3.    9
  4.    10
  5.    11
 Discuss Question
Answer: Option D. -> 10

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


Therefore  (2x + 2) + 2x + x = 27


 5x = 25


 x = 5.


Hence, B's age = 2x = 10 years.

Question 25.

Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anands present age in years?

  1.    24
  2.    27
  3.    40
  4.    Cannot be determined
  5.    None of these
 Discuss Question
Answer: Option A. -> 24

Let the present ages of Sameer and Anand be 5x years and 4x years respectively.


Then, \(\frac{5x+3}{4x+3} = \frac{11}{9}\)


 9(5x + 3) = 11(4x + 3)


 45x + 27 = 44x + 33


 45x - 44x = 33 - 27


 x = 6.


Therefore  Anand's present age = 4x = 24 years.

Question 26.

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:

  1.    14 years
  2.    18 years
  3.    20 years
  4.    22 years
 Discuss Question
Answer: Option D. -> 22 years

Let the son's present age be x years. Then, man's present age = (x + 24) years.


 Threrefore (x + 24) + 2 = 2(x + 2)


 x + 26 = 2x + 4


 x = 22.

Question 27.

Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagars age at present?

  1.    16 years
  2.    18 years
  3.    20 years20 years
  4.    Cannot be determined
  5.    None of these
 Discuss Question
Answer: Option A. -> 16 years

Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively.


Then, \(\frac{(6x+6)+4}{(5x+6)+4} = \frac{11}{10}\)


 10(6x + 10) = 11(5x + 10)


 5x = 10


 x = 2.


So  Sagar's present age = (5x + 6) = 16 years.

Question 28.

The sum of the present ages of a father and his son is 60 years. Six years ago, fathers age was five times the age of the son. After 6 years, sons age will be:

  1.    12 years
  2.    14 years
  3.    18 years
  4.    20 years
 Discuss Question
Answer: Option D. -> 20 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.


So Son's age after 6 years = (x+ 6) = 20 years..

Question 29.

At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Aruns age will be 26 years. What is the age of Deepak at present ?

  1.    12 years
  2.    15 years
  3.    19 and half
  4.    21 years
 Discuss Question
Answer: Option B. -> 15 years

Let the present ages of Arun and Deepak be 4x years and 3x years respectively. Then,


4x + 6 = 26    \(\Leftrightarrow\)    4x = 20


x = 5.


Therefore  Deepak's age = 3x = 15 years.

Question 30.

Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?


 

  1.    16 years
  2.    18 years
  3.    28 years
  4.    24.5 years
  5.    None of these
 Discuss Question
Answer: Option D. -> 24.5 years

Let Rahul's age be x years.


Then, Sachin's age = (x - 7) years.


So, \(\frac{x-7}{x} = \frac{7}{9}\)


 9x - 63 = 7x


 2x = 63


 x = 31.5


Hence, Sachin's age =(x - 7) = 24.5 years.

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