BTGmoderatorDC wrote:Can the positive integer n be written as the sum of two different positive prime numbers?
(1) n is greater than 3.
(2) n is odd.
OA E
Source: Official Guide
Let's take each statement one by one.
(1) n is greater than 3.
Case 1: Say n = 5. Thus, n = 2 + 3, sum of two different positive prime numbers. The answer is yes.
Case 2: Say n = 7. Thus, n = 4 + 3, not a sum of two different positive prime numbers. The answer is no.
No unique answer. Insufficient.
(2) n is odd.
Both cases discussed above are applicable here.
(1) and (2) together
Both cases discussed above are applicable here.
No unique answer. Insufficient.
The correct answer:
E
Hope this helps!
-Jay
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