'manpreet singh wrote:If x > 1, what is the value ofinteger x?
(1) There are x unique factors of x.
(2) The sum of x and any prime number larger than x is odd.

Target question: What is the value of integer X?

Statement 1: There are X unique factors of X
In other words, the factors of X must range from 1 to X, with every number in between.
In other words, the factors of X are: 1, 2, 3, . . . X-1, and X
We can see that this works when X=2 (factors are 1 and 2}

For any number greater than 2, X will not have factors ranging from 1 to X.
For any number greater than 2, X-1 cannot be a factor of X. In fact, when we divide X by X-1, the remainder will always be 1 (when X>2).
For example, 4 cannot be a factor of 5, 11 cannot be a factor of 12, etc.

Since only 2 satisfies the given condition, x must equal 2.
So, statement 1 is SUFFICIENT

Statement 2: The sum of X and any prime number larger than X is odd
There are several values of X that satisfy this condition. Here are two cases:
case a: X = 2. Here, every prime number greater than 2 will be odd, and 2 plus an odd number will always be odd.
case b: X = 4. Here, every prime number greater than 4 will be odd, and 4 plus an odd number will always be odd.

Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Answer = A

Cheers,
Brent