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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 ## Does (x + a)^2 = y^2? tagged by: M7MBA ##### This topic has 1 expert reply and 0 member replies ## Does (x + a)^2 = y^2? Does (x + a)^2 = y^2? (1) x = y - a (2) x = y + a The OA is A . Experts, what happen if a=0? Then both statements are suffcient. So, how should I think on this DS question? ### GMAT/MBA Expert Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 122 members Upvotes: 1153 GMAT Score: 770 M7MBA wrote: Does (x + a)^2 = y^2? (1) x = y - a (2) x = y + a The OA is A . Experts, what happen if a=0? Then both statements are suffcient. So, how should I think on this DS question? Statement 1: x = y - a Add 'a' to both sides to get x + a = y Square both sides to get (x + a)^2 = y^2. So the answer is a definitive yes, S1 alone is sufficient. Statement 2: Case 1: x = 1, y = 1, and a = 0. (1+0)^2 = 1^2, we have a YES to the initial question. Case 2: x = 2, y = 1, and a = 1. (2 +1)^2 is not equal to 1^2, so we have a NO to the initial question. S2 alone is not sufficient. The answer is A (Notice that when a = 0, we're merely generating a YES to the initial question. Because a can assume other values that will generate a NO in statement 2, this statement is not sufficient.) _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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