Good day
My question relates to question 120 of the advanced GMAT quant supplement. The question states: "If a, b, c, and d are each integers greater than 1, is the product of abcd divisible by 6?"
(1) acd is even --> NS only tells me that at least one of a,c,d is even.
(2) abd is odd --> NS
Together: I know that c must be even. The OA also acknowledges this fact. However the OA indicates that I do not know whether there is a 3 in the equation. How can this be? From the stem it is indicated that a,b,c,d are each integers greater than 1. Therefore, to be odd, there must be at least one 3, since 1 is not an option (greater than one). Shouldn't the answer be C, S1 and S2 together SUFF?
Also, another related question. If the GMAT gives letters such as a,b,c and d, may I assume they are different numbers? Or assume NOTHING!!
Thanks