M7MBA wrote:Is the positive integer x an even number?
(1) If x is divided by 3, the remainder is 2.
(2) If x is divided by 5, the remainder is 2.
The OA is E.
How can I conclude that both statements together are not sufficient?
(1) If x is divided by 3, the remainder is 2.
Case 1: If x = 5, the answer is No.
Case 2: If x = 8, the answer is Yes. No unique answer. Insufficient
(1) If x is divided by 5, the remainder is 2.
Case 1: If x = 7, the answer is No.
Case 2: If x = 12, the answer is Yes. No unique answer. Insufficient
(1) and (2) combined:
From (1) and 92), we get if x is divided by 3*5 = 15, the remainder is 2.
Case 1: If x = 17, the answer is No.
Case 2: If x = 32, the answer is Yes. No unique answer. Insufficient
The correct answer:
E
Hope this helps!
-Jay
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