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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 ## What is the value of x? tagged by: M7MBA ##### This topic has 1 expert reply and 0 member replies ### Top Member ## What is the value of x? What is the value of x? (1) The median of set (x, 1, -1, 3, -x) is 0 (2) The median of set (x, 1, -1, 3, -x) is x/2 The OA is A. Why is the statement (2) not sufficient? Experts, may you help me here? I don't have it clear. ### GMAT/MBA Expert Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 122 members Upvotes: 1153 GMAT Score: 770 Top Reply M7MBA wrote: What is the value of x? (1) The median of set (x, 1, -1, 3, -x) is 0 (2) The median of set (x, 1, -1, 3, -x) is x/2 The OA is A. Why is the statement (2) not sufficient? Experts, may you help me here? I don't have it clear. Statement 1: Notice that there are 5 elements in the set. Because there are an odd number of elements, the median must be in the set. (If there had been an even number of elements the median would be the average of the two middle terms.) The only way the median of the set can be 0 is if x = 0. Because there is a unique value for x, this statement alone is sufficient. Statement 2: Case 1: x = 0. (Meaning -x = 0 and x/2 = 0/2) Our set is (-1, 0, 0, 1, 3.) The median is 0, which is also x/2 or 0/2. Case 2: x = 2. (Meaning -x = -2 and x/2 = 1.) Now our set is (-2, -1, 1, 2, 3). The median is 1, which is also x/2 or 2/2. Because x can assume multiple values, this statement alone is not sufficient. The answer is A _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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