If x > 1, what is the value of integer x?
(1) There are x unique factors of x. ( what does that mean ?????? )
(2) The sum of x and any prime number larger than x is odd.
They could have worded Statement 1 better, but it's just trying to tell you how many positive divisors x has. Here we learn that x has x positive divisors. If you just imagine a number for x (e.g. imagine the phrase "10 has 10 positive divisors", clearly absurd) you can probably see quickly that this is almost never true. For x to have x positive divisors, x would need to be divisible by *every* integer from 1 up to x inclusive. That will only happen if x = 1 or x = 2. Since x > 1, x must be 2, and Statement 1 is sufficient.
Statement 2 will be true for any even value of x (since any prime larger than x will be odd if x >
2), so is not helpful.
The answer is A.
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