If the integer x is divisible by 3 but not by 2, then which one of the ... ...

If the integer x is divisible by 3 but not by 2, then which one of the following expressions is NEVER an integer?


(A)

(x + 1)/2


(B) ...
(C) ...
(D) ...
(E) ...

*This question is included in Nova Math - Problem Set A: Substitution

 
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Posted: 01/01/2013 07:27
I took x =9 . When I did 3/7 the answer wasn't an integer . So how come the choice B is incorrect ??
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Posted: 01/01/2013 11:34
E.g. when x=21 the quotient is 3 an integer while all rules apply, x divisible by 3 but not by 2.

Niels

PS. When x=9 you'll get 9/7 ;)