Problems on Ages- Aptitude Questions and Answers - in Hindi

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A father is now three times as old as his son. Five years back, he was four times as old as his son. The age of the son (in years) is?


एक पिता की आयु अपने बेटे से तीन गुना अधिक है। पांच साल पहले, पिता की आयु अपने बेटे की आयु से चार गुना अधिक थी। बेटे की आयु (वर्षों में) है?

A)
12

B)
15

C)
18

D)
20


Correct Answer :

15


Explanation :

Let son’s age be x years. Then, father’s age = (3x) years.
Five years ago, father’s age = (3x – 5) years and son’s age = (x – 5) years.

As given, Five years back, father’s age was four times
So, 3x – 5 = 4 (x – 5)
3x – 5 = 4x – 20
x= 15.

Today is Varun’s birthday. One year, from today he will be twice as old as he was 12 years ago. How old is Varun today ?


आज वरुण का जन्मदिन है। आज से एक साल बाद उसकी आयु 12 साल पहले की आयु का दोगुना हो जाएगी। आज वरुण की आयु क्या है?

A)
20

B)
22

C)
25

D)
27


Correct Answer :

25


Explanation :

Let Varan’s age today = x years.
Then, Varan’s age after 1 year = (x + 1) years.

As given, after an year he will be twice as old as he was 12 years ago
Therefore his age , x + 1 = 2 (x – 12)
x + 1 = 2x – 24
x = 25.

A mother is 50 years old and her son is 22 years old. The mother will be twice as old as her son after ......years ?


माता की आयु 50 साल है और पुत्र की आयु 22 है। कई वर्षों बाद माता की आयु अपने पुत्र की आयु से कितने में दोगुनी हो जाएगी?

A)
4

B)
5

C)
6

D)
8


Correct Answer :

6


Explanation :

Let's the after x years mother's age be twice that of his son.

So (50+x)=2*(22+x)
50+x=44+2x
x=6
After 6 years mother's age will be twice of his son.

From today, after five years the age of father will be three times of the age of the son, while five years ago father’s age was seven times of the age of his son. Then the present ages of father and son, in years are respectively?


आज से पाँच वर्ष के बाद पिता की आयु पुत्र की आयु का तीन गुना होगी, जबकि पाँच वर्ष पहले पिता की आयु उनके पुत्र की आयु का सात गुना थी। तब पिता और पुत्र की वर्तमान आयु वर्षों में क्रमशः है?

A)

31 and 7


B)

47 and 11


C)

40 and 10


D)

30 and 11



Correct Answer :

40 and 10


Explanation :

Let the father's age be x and the son's age be y

As it has been, after five years
x + 5 = 3*(y + 5)
x - 3y = 10 ....(1)

And five years ago
x - 5 = 7*(y - 5)
x - 7y = - 30 ....(2)

After solving the above equations x = 40 and y = 10
So the present age of father and son is 40 and 10

Leela got married 6 years ago.Today her age is 1(1/4) times her age at the time of her marriage. her son’s age is 1/10 times her age. What is the present age of her son?


लीला का विवाह 6 वर्ष पूर्व हुआ था। आज उसकी आयु , उसके विवाह के समय की आयु की 1(1/4) है। उसके पुत्र की आयु , उसकी आयु की 1/10 है । उसके पुत्र की वर्तमान आयु क्या है?

A)

1 year


B)

2 years


C)

3 years


D)

4 years



Correct Answer :

3 years


Explanation :

Let the age of Leela at her marriage was x years.
Present age of Leela = (x + 6) years
As is given, x + 6 = (5/4)x
4x + 24 = 5x
x = 24
Present age of Leela = x + 6 = 24 + 6 = 30 years
Present age of Leela's son = (1/10)*30 = 3 years

Five years ago, Somi’s age at that time was 1/3 rd of Amit’s age at that time. The respective ratio between Amit's age six years hence and Somi’s age twelve years hence, will be 7 : 4. What was Somi’s age three years ago?


पांच साल पहले, उस समय सोमी की उम्र अमित की उम्र की 1/3 थी। छह वर्ष बाद अमित की आयु और बारह वर्ष बाद सोमी की आयु के बीच संबंधित अनुपात 7: 4 होगा। सोमी की आयु तीन वर्ष पहले क्या थी?

A)

13 yr


B)

29 yr


C)

17 yr


D)

25 yr



Correct Answer :

17 yr


Explanation :

Let the present age of Somi = X years and present age of Amit = Y years
According to the question,( X − 5) = 1/3( Y − 5 )
=> 3x − 15 = Y − 5
=> 3x − y = 10 …(i)
and
Y+6 / X+12 = 7/4
=> 4Y + 24 = 7X + 84
=> 4Y − 7X = 60 …(ii)

Now, solving Eqs. (i) and (ii), we have X = 20 years
Somi’s age three years ago = 20 − 3 = 17 years

The ages of Gyanendra and Jitendra are in the ratio of 12:7 respectively. After 6 years, the ratio of their ages will be 3:2 respectively . find the difference in their ages?


ज्ञानेंद्र और जितेंद्र की उम्र क्रमशः 12: 7 के अनुपात में है। 6 वर्षों के बाद, उनकी आयु का अनुपात क्रमशः 3: 2 होगा। उनकी उम्र में अंतर ज्ञात करे?ज्ञानेंद्र और जितेंद्र की उम्र क्रमशः 12: 7 के अनुपात में है। 6 वर्षों के बाद, उनकी आयु का अनुपात क्रमशः 3: 2 होगा। उनकी उम्र में अंतर ज्ञात करे?

A)
10 years

B)
24 years

C)

36 years


D)
48 years


Correct Answer :

10 years


Explanation :

Let,the present age of Gyanendra and Jitendra are 12x and 7x.
After 6 years,the ratio of their ages, (12x+6)/(7x+6)=3/2
24x+12=21x+18
3x=6
x=2
Hence, present age of Gyanendra and Jitendra would be 24 and 14
The difference in their ages =24-14 = 10 years

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