odd integer

If a and b are positive integers such that a – b and <if>a/b are both even integers, which of the following must be an odd integer?

A: a/2
B: b/2
C: (a+b)/2
D: (a+2)/2
E: (b+2)/2

OA is D. Please explain with steps.

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aatech: Master | Next Rank: 500 Posts; Posts: 192; Joined: Tue Apr 29, 2008 7:41 am; Thanked: 14 times

by aatech » Thu May 22, 2008 9:19 am

Are you sure the question is correct, what is that <if> in the question.. something missing???

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egybs: Master | Next Rank: 500 Posts; Posts: 178; Joined: Wed May 14, 2008 3:51 pm; Thanked: 16 times; Followed by:1 members; GMAT Score:99%+

by egybs » Thu May 22, 2008 12:27 pm

see https://www.beatthegmat.com/odd-integer- ... html#45401

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