求助一道数学题

zhang200824

39.   3150-!-item-!-187;#058&003215

    

If c and d are
integers, is c even?

    

 

    

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

    

 

    

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

貌似是E 答案是C，  帮我理下思路， 谢谢