Paris92978 wrote:
Can we revisit this one?
Statement (1) says that x is a multiple of a prime number. Well, that immediately tells us that x is not a prime number because we can factor the a multiple. So now choices B, C, and E are eliminated.
Statement (2) says that x is a product of two integers. Well, we could look at the case of 2 * 3 = 6 but more importantly there is the case of 1 * any prime number. With the case of the 1 * prime number, choice D is eliminated.
Answer is A.
Agree with you Paris.. just putting in a bit more inputs..
Case 1: X is a multiple of a prime number
-> A number having any factor other than itself and 1 is not a prime no. For example: 6 (1, 2, 3,6) is not a prime no.
Please note, that "1" is not a prime number, but rather a co-prime no... so don;t confuse yourself by saying that 7 = 1*7 is a possibility in above case.
Option A is sufficientCase 2: X is a product of two integers
-> Here there can be two type of number:
(i) Prime numbers. Eg. 7 = 1* 7
(ii) Non-prime numbers : 14 = 7 * 2
Not sufficientHence, the answer is (a)