Question

How old is Sachin in 1997?
I. Sachin is 11 years younger than Anil whose age will be a prime number in 1998.
II. Anil's age was a prime number in 1996.

• A. The question cannot be answered even with the help of both the statements taken together.
• B. The question can be answered by any one of the statements
• C. Each statement alone is sufficient to answer the question, but not the other one.
• D. Both statements I and II together are needed to answer the question

Hint:

When ages are linked to prime numbers in different years, both constraints are required to narrow down to a single possible age.

Answer 1

The Correct Option is D

I: Knowing only that Anil’s 1998 age is prime does not fix Sachin’s age.
II: Knowing only that Anil’s 1996 age is prime also does not fix age.
Together: Possible prime ages for Anil in 1996 and 1998 differ by 2 years; matching both constraints, we can find Anil’s exact age and thus Sachin’s age in 1997. %Quick tip