@ akhileshgupta05:

Satment 1 is not sufficient

For statement 2 possible values of z are

17! + 2 is Divisible by 2 . Hence not prime

17! + 3 is Divisible by 3 . Hence not prime

17! + 4 is Divisible by 4 . Hence not prime

17! + 5 is Divisible by 5 . Hence not prime

17! + 6 is Divisible by 6 . Hence not prime

17! + 7 is Divisible by 7 . Hence not prime

17! + 8 is Divisible by 8 . Hence not prime

17! + 9 is Divisible by 9 . Hence not prime

17! + 10 is Divisible by 10 . Hence not prime

17! + 11 is Divisible by 11 . Hence not prime

17! + 12 is Divisible by 12 . Hence not prime

17! + 13 is Divisible by 13 . Hence not prime

17! + 14 is Divisible by 14 . Hence not prime

17! + 15 is Divisible by 15 . Hence not prime

17! + 16 is Divisible by 16 . Hence not prime

17! + 17 is Divisible by 17 . Hence not prime

In any case z cannot not be prime hence answer is B

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