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Difficulty:
15%
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Question Stats:
74% (00:25) correct
26%
(00:28)
wrong
based on 69
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Daily question from "GMAT hacks-Jeff Sackmann"
Is MN Odd? M,N are integers.
(1) M even
(2) N odd
Edited to ensure M,N are integers , as guided by Bunuel, Thanks a lot Bunuel.
Is MN Odd? M,N are integers.
(1) M even
(2) N odd
Edited to ensure M,N are integers , as guided by Bunuel, Thanks a lot Bunuel.
10 Oct 2012, 23:54
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Is MN Odd?
Notice that we are not told that M and N are integers.
(1) M even. If N is an integer, then \(MN=even*integer=even\), so the answer is NO but if \(N=\frac{odd}{M}\), then \(MN=M*\frac{odd}{M}=odd\) (for example \(M=2\) and \(N=\frac{3}{2}\) --> \(MN=3=odd\)), so the answer is YES. Not sufficient.
(2) N odd. If M=even, then the answer is NO but if M=odd then the answer is YES. Not sufficient.
(1)+(2) MN=even*odd=even, so the answer to the question is NO. Sufficient.
Answer: C.
Notice that we are not told that M and N are integers.
(1) M even. If N is an integer, then \(MN=even*integer=even\), so the answer is NO but if \(N=\frac{odd}{M}\), then \(MN=M*\frac{odd}{M}=odd\) (for example \(M=2\) and \(N=\frac{3}{2}\) --> \(MN=3=odd\)), so the answer is YES. Not sufficient.
(2) N odd. If M=even, then the answer is NO but if M=odd then the answer is YES. Not sufficient.
(1)+(2) MN=even*odd=even, so the answer to the question is NO. Sufficient.
Answer: C.
16 Oct 2012, 14:30
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I dont agree with the explanation. It is clearly mentioned than M & N are integers. How can then N be exampled as 3/2.
IMO, the answer is (A). If both M&N are integers, as long as one of them is even the product MN is even.
IMO, the answer is (A). If both M&N are integers, as long as one of them is even the product MN is even.
