(10 p + q)/3

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Sat Feb 21, 2009 6:27 am

If p and q are integers, is (10 p + q)/3 an integer?

(1) q = 5

(2) p q is even

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Source: Beat The GMAT — Data Sufficiency | Sat Feb 21, 2009 6:27 am

DanaJ: Site Admin; Posts: 2567; Joined: Thu Jan 01, 2009 10:05 amFollowed by: 550 members; Thanked: 712 times; GMAT Score:770

by DanaJ » Sat Feb 21, 2009 6:35 am

(10p + q)/3 is an integer means that 10p + q is divisible by three, which means that the sum of its digits is a number divisible by three.
1. is insufficient since you don't know anything about p
2. is insufficient since p*q = even does not help us in clearing this situation.
Take the two stmts together and you don't get anything else except for the fact that p is even. P can be anything: 2, 4....

So E is my answer.

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