c and d are intigers is c even?? 1) c(d+1) = even 2)

Question

c and d are intigers is c even??

1) c(d+1) = even
2) (c+2)(d+4) = even

gmatnub · Answer

C
statement 1: cd + C = even, insuff
statement 2: 4c + 2d + cd + 8 = even, insuff

together: subtract statement 1 from 2 to get 3c + 2d + 8 = even

2d + 8 must be even, so 3c must also be even, so c is even

icandy · Answer

wrong sum of either two evens or two odds can be even C can be odd too

C (d+1) is even means either one of them is even or both. ( Y and N ) Insuff

(C+2) (D+4) is even means either one of them is even or both. ( Y and N ) Insuff

Combine both Still the same. Hence E

stallone · Answer

C

from 1 c can be odd / even

icandy · Answer

Yeppers! You nailed it.

Twoone · Answer

Yep,
 
 C is the answer.

St1: either C or D+1 is even.
 
 St2: either C+2 or D+4 is even.

combining both, D+1 and D+4 both can't be even at one time but C and C+2 has to be even as multiplication is even.

Hence. C is even. and C is the answer

amitdgr · Answer

Great approaches both Twoone and gmatnub !!

spriya · Answer

Clearly C

1) says c=even,d=odd 
c=odd,d=odd
c=even,d=even
c can be even or odd

2)c=even,d=odd
c=odd,d=even
c=even,d=even

INSUFFI c =even or odd

again combining both we get c=even and d=odd
HENCE SUFFI
IMO C

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