Data Sufficiency

If c and d are integers, is c even ?

1. c(d+1) is even
2. ( c+2 )( d+4 ) is even.

OA : C

it will be great next time to hide answer is spoiler
is c even if c and d are integers
(1) c(d+1)=cd+c=even, possible cases are
even(c)*even(d)+even(c)=even here c is even
odd(c)*odd(d)+odd(c)=odd+odd=even, here c is odd, insuff
(1) (c+2)(d+4)=even
cd+4c+2d+8=even the value of 4c+2d+8 does not matter itis simply even
cd+even=even
even(c)*even(d)+even=even. here c is even
odd(c)*even(d)+even=even+even=even here c is odd
again insuff
both
from 1 st cd+c=even, cd=even-c, and insert st2, cd+even=even
even-c+even=even
even-c=even
so c must be even
both are suff

Thanks a lot.
I have seen posts with OA hidden...not sure how to hide it.

clock60 wrote:it will be great next time to hide answer is spoiler
is c even if c and d are integers
(1) c(d+1)=cd+c=even, possible cases are
even(c)*even(d)+even(c)=even here c is even
odd(c)*odd(d)+odd(c)=odd+odd=even, here c is odd, insuff
(1) (c+2)(d+4)=even
cd+4c+2d+8=even the value of 4c+2d+8 does not matter itis simply even
cd+even=even
even(c)*even(d)+even=even. here c is even
odd(c)*even(d)+even=even+even=even here c is odd
again insuff
both
from 1 st cd+c=even, cd=even-c, and insert st2, cd+even=even
even-c+even=even
even-c=even
so c must be even
both are suff