If x is an integer, then is x a prime number?
1. x is a multiple of a prime number.
2. x is a product of two integers.
Statement (1) by itself is not sufficient. Multiples of a prime number are not prime except the prime number itself. For example, 3 is prime and its multiples are 3 itself (prime), 6 (not prime), etc.
Statement (2) by itself is not sufficient. The product of two integers can be prime only if one integer is a prime and the other integer is 1. For example 3=1*3 is prime, but 6=3*2 is not prime.
Statements (1) and (2) combined are not sufficient. If both statements are combined, x can still be 3 (prime) or 6 (not prime).
OA is E, but as the question is yes/no type, I felt D or A should be correct? can someone give inputs..