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How old is Sachin in 1997?

1. Sachin is 11 years younger than Anil whose age will be prime number in $1998$.

2. Anil’s age was a prime number in $1996$.

1. if both the statements together are insufficient to answer the question.
2. if any one of the two statements is sufficient to answer the question.
3. if each statement alone is sufficient to answer the question.
4. if both the statements together are sufficient to answer the question, but neither statement alone is sufficient.
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1) Using Statement (1), We cannot find the age of Sachin in 1997.NOT SUFFICIENT

2) Using Statement (2), We cannot find the age of Sachin in 1997 ;NOT SUFFICIENT

taking 1 and  2  together Since range of prime numbers is not given, we cannot calculate the age of Sachin even using both the statement together ;NOT SUFFICIENT

Statement (1) and Statement(2) together is not sufficient.

Hence option A is correct.
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