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# A, B, C, and D are integers such that A - C + B is even and

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CEO
Joined: 21 Jan 2007
Posts: 2745
Location: New York City
Followers: 11

Kudos [?]: 942 [0], given: 4

A, B, C, and D are integers such that A - C + B is even and [#permalink]

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20 Nov 2007, 07:13
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

A, B, C, and D are integers such that A - C + B is even and D + B - A is odd. Which of the following expressions is always odd?

a+d
b+d
c+d
a+b
a+c
CEO
Joined: 17 Nov 2007
Posts: 3586
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 575

Kudos [?]: 3982 [0], given: 360

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20 Nov 2007, 07:57
C.

1. A-C+B=(A+B)-C even
2. D+B-A =(B-A)+D odd

C and D have opposite remainders.
Therefore,
C+D = odd
SVP
Joined: 05 Jul 2006
Posts: 1747
Followers: 6

Kudos [?]: 358 [0], given: 49

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20 Nov 2007, 08:14
A, B, C, and D are integers such that A - C + B is even and D + B - A is odd. Which of the following expressions is always odd?

a+d
b+d
c+d
a+b
a+c

A - C + B +D + B - A = 2b+d-c = odd , odd = even+odd
, 2b is even thus d-c is odd ie: any summision or subtroperation ,operations of c ,d is odd.

c+d is always odd
20 Nov 2007, 08:14
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