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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: 2734

Kudos [?]: 1076 [0], given: 4

Location: New York City
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
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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

Kudos [?]: 1076 [0], given: 4

CEO
Joined: 17 Nov 2007
Posts: 3583

Kudos [?]: 4662 [0], given: 360

Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40

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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

Kudos [?]: 4662 [0], given: 360

Retired Moderator
Joined: 05 Jul 2006
Posts: 1749

Kudos [?]: 443 [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

Kudos [?]: 443 [0], given: 49

20 Nov 2007, 08:14
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A, B, C, and D are integers such that A - C + B is even and

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