UPSC ONLINE ACADEMY

AGES SET-4

1. Raju age after 15 years will be 5 times his age 5 years back, What is the present age of Raju
A) 15
B) 14
C) 10
D) 8
Ans. C
Explanation:
Clearly,
x+15 = 5(x-5)
<=> 4x = 40 => x = 10

2. Sachin is younger than Rahul by 7 years. If the ratio of their ages is 7:9, find the age of Sachin
A) 23.5
B) 24.5
C) 12.5
D) 14.5
Ans. B
If Rahul age is x, then Sachin age is x-7,
so (x-7)/x = 7/9
=> 9x-63 = 7x
=> 2x = 63
=> x = 31.5

So Sachin age is 31.5 – 7 = 24.5

3. 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
A) 7:8
B) 7:9
C) 3:8
D) 5:8
Ans. A
Let P age and Q age is 6x years and 7x years.
Then 7x – 6x = 4 <=> x = 4

So required ratio will be (6x+4): (7x+4) => 28:32 => 7:8

4. Ages of two persons differ by 16 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age
A) 12,28
B) 14,30
C) 16,32
D) 18,34
Ans. B
Let the age of younger person is x,
Then elder person age is (x+16)
=> 3(x-6) = (x+16-6) [6 years before]=> 3x-18 = x+10
=> x = 14.
So other person age is x + 16 = 30

5. The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the fathers age at that time. The present age of father and son
A) 34,11
B) 35,10
C) 36,9
D) 40,5
Ans. C
Let sons age = x years. Then fathers age = (45 – x)years.
(x?5)(45?x?5) = 4(45- x – 5) hence (x?5) = 4 so x = 9
Their ages are 36 years and 9 years.

 

 

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