Question

Ajith is three times older than Babita. Chetu is half the age of Das. Babita is older than Chetu. Which of the following additional information is needed to estimate the age of Ajith?

I. Chetu is 10 yr old.

II. Both Babita and Das are older than Chetu by the same number of years.

1. Only I
2. Only II
3. I and II
4. None of these

Answer 1

Correct Answer - Option 3 : I and II

Given,

Ajith is three times older than Babita

Chetu is half the age of Das 

⇒ Let the age of Chetu be x

Then, the age of Das = 2x

 

Using statement (i)

Chetu is 10 years old

∴ x = 10

Age of Das = 2 × 10 = 20 years

∴ Statement (i) alone is not sufficient to answer the question

 

Using statement (ii)

Both Babita and Das are older than Chetu by the same number of years

∴ Statement (ii) alone is not sufficient to answer the question

 

Using statement (i) and statement (ii) together

Age of Das = 20 years

Difference between the age of Das and Chetu = 20 – 10 = 10 years

∴ Babita is older than Chetu by 10 years

⇒ Age of Babita = 10 + 10 = 20 years

∴ Age of Ajith = 3 × age of Babita

⇒ Age of Ajith = 3 × 20 = 60 years

∴ Statement (i) and (ii) together are necessary to answer the question