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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## Is z an integer? tagged by: rolandprowess ##### This topic has 1 expert reply and 0 member replies ## Is z an integer? Is z an integer? (1) z/3 is an integer. (2) z/2 is NOT an integer. Which statement is sufficient? Any experts can explain? ### GMAT/MBA Expert Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 122 members Upvotes: 1153 GMAT Score: 770 ardz24 wrote: Is z an integer? (1) z/3 is an integer. (2) z/2 is NOT an integer. Which statement is sufficient? Any experts can explain? S1: We can set z/3 equal to any integer. Case 1: z/3 = 1; z = 3. That's an integer, so YES Case 2: z/3 = 2; z = 6; Again an integer, so YES. No matter what we pick, we'll get a YES. More abstractly, if z/3 = integer, then z = 3* integer; 3 multiplied by an integer will always yield an integer value. Sufficient. S2. Set z/2 equal to any non integer. Case 1: z/2 = 1/2; z = 1;We have an integer. YES Case 2: z/2 = 1/3; z = 2/3; Not an integer. NO. Because we can get a YES or a NO, this statement alone is not sufficient to answer the question. The answer is A _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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