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Asked: If m and n are positive integers, and m + n and m/n are both even numbers, which of the following cannot be an even integer ?

m + n is an even number;
m & n both are even
or
m & n both are odd

m/n is an even number
m is an even number and is a multiple of 4.
n is an even number

A. (m + n)/2: even number

B. m/2 : even number

C. (n + 2)/2 = n/2 + 1: May be even or odd

D. (m + 4)/2 = m/2 + 2: even number

E. (m + 6)/2 = m/2 + 3: odd number

IMO E
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Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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