interger is even?

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interger is even?

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.
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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-