CAT 1996 Question Paper Question 84

Instructions

 Each question is followed by two statements, I and II. Mark the answer
 

Question 84

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.

Solution

Anil's age is a prime number in both 1996 and 1998. Hence, Anil's age in 1996 and 1998 are twin primes ( Prime numbers that differ by 2). Anil's age in 1996 and 1998 can be (11,13),(17,19) ,(29,31),.......and so on. Since a unique set cannot be determined, option A is the right answer.



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