BTGmoderatorDC wrote:Is x an integer?
(1) x^2 is an integer.
(2) x/2 is not an integer.
OA E
Source: Official Guide
Let's take each statement one by one.
(1) x^2 is an integer.
Case 1: Say x^2 = 4, then x = 2, an integer. The answer is yes.
Case 2: Say x^2 = 3, then x = √3, not an integer. The answer is no.
No unique answer. Insufficient.
(2) x/2 is not an integer.
Case 1: Say x/2 = 1/2, then x = 1, an integer. The answer is yes.
Case 2: Say x/2 = √3/2, then x = √3, not an integer. The answer is no.
(1) and (2) together
Case 1: Say x/2 = 1/2, then x = 1, an integer. Note that x^2 = 1 is an integer. The answer is yes.
Case 2: Say x/2 = √3/2, then x = √3, not an integer. Note that x^2 = 3 is an integer. The answer is no.
No unique answer. Insufficient.
The correct answer:
E
Hope this helps!
-Jay
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