interger is even?

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cubicle_bound_misfit: Master | Next Rank: 500 Posts; Posts: 246; Joined: Mon May 19, 2008 7:34 am; Location: Texaco Gas Station; Thanked: 7 times

by cubicle_bound_misfit » Tue Mar 31, 2009 3:54 am

if c and d are integers is c even ?
1. c(d + 1 ) is even.
2. (c+2) (d+4) is even.

Cubicle Bound Misfit

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Source: Beat The GMAT — Data Sufficiency | Tue Mar 31, 2009 3:54 am

bluementor: Master | Next Rank: 500 Posts; Posts: 418; Joined: Wed Jun 11, 2008 5:29 am; Thanked: 65 times

by bluementor » Tue Mar 31, 2009 4:06 am

Statement 1:
If d is odd, c can be even or odd. Insufficient.

Statement 2:
If d is even, c can be even or odd. Insufficient.

Both statements together:
c = even, d=odd -->both statements are satisfied
c =even, d=even -->both statements are statisfied
c =odd, d=odd --> statement 2 is not satisfied
c=odd, d=even -->statement 1 is not satisfied

Hence, we can conclude that c must be even. Choose C.

-BM-

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