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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 PQ > 1? tagged by: M7MBA ##### This topic has 2 expert replies and 0 member replies ### Top Member ## Is PQ > 1? Is PQ > 1? (1) P^Q = 1 (2) Q = -1 The OA is C. I don't understand why both statements together are sufficient to solve this DS question. Experts, can you help me please? ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10197 messages Followed by: 497 members Upvotes: 2867 GMAT Score: 800 Top Reply Hi M7MBA, We're asked if (P)(Q) > 1. This is a YES/NO question. We can solve it by TESTing VALUES and/or by using Number Property Rules. 1) P^Q = 1 With the equation in Fact 1, we know that one of the following must be occurring: A) P = 1 and Q is ANY value B) P = ANY value and Q = 0 With the first example, the product (P)(Q) could be greater than 1 (a YES answer), equal to 1 (a NO answer) or less than 1 (also a NO answer). With the second example, the product (P)(Q) will always be 0, so the answer to the question is NO. Fact 1 is INSUFFICIENT. 2) Q = -1 Fact 2 tells us nothing about the value of P, so there's no way to answer the question. Fact 2 is INSUFFICIENT. Combined, we know... P^Q = 1 Q = -1 So (P)^(-1) = 1. The only solution to this equation is P=1, so (1)(-1) = -1 and the answer to the question is ALWAYS NO. Combined, SUFFICIENT. Final Answer: C GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert Legendary Member Joined 14 Jan 2015 Posted: 2666 messages Followed by: 125 members Upvotes: 1153 GMAT Score: 770 M7MBA wrote: Is PQ > 1? (1) P^Q = 1 (2) Q = -1 The OA is C. I don't understand why both statements together are sufficient to solve this DS question. Experts, can you help me please? Statement 1: Case 1: P = 1; Q = 1. PQ = 1, and so is not greater than 1. The answer is NO. Case 2: P =1; Q = 50. PQ = 50, so is greater than 1. The answer is YES. Because we can answer YES or NO, this statement alone is not sufficient. Statement 2: Nothing about P, so not sufficient. Together, Now we know P^(-1) = 1. The only way that can happen is if P = 1. If P =1 and Q= -1, then PQ = -1, and the answer to the question is a definitive NO. The statements together are sufficient. The answer is C _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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