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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 ## If set T was derived from set S when all elements of set S w ##### This topic has 1 expert reply and 0 member replies ## If set T was derived from set S when all elements of set S w If set T was derived from set S when all elements of set S were multiplied by 2, is the median of set T greater than that of set S ? (1) All elements of set S are positive (2) The median of set S is positive What's the best way to determine which statement is sufficient? Can any experts help? ### GMAT/MBA Expert Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 122 members Upvotes: 1153 GMAT Score: 770 ardz24 wrote: If set T was derived from set S when all elements of set S were multiplied by 2, is the median of set T greater than that of set S ? (1) All elements of set S are positive (2) The median of set S is positive What's the best way to determine which statement is sufficient? Can any experts help? Statement 1: Case 1 Set S: {1, 2, 3} Median = 2 Set T: {2, 4, 6} Median = 4 The answer is YES, T's median is greater. Case 2: Set S: {1/4, 1/3, 1/2} Median = 1/3 Set T {2/4, 2/3, 2/2} Median = 2/3 Again, the answer is YES, T's median is greater. Now see the logic - if we're multiplying every element in Set S by 2 to derive Set T, it means we must also multiply the median by 2. If that median is positive, it will become greater. So statement 1 is sufficient. Statement 2: Same logic. If the median is positive, when we multiply by it 2, it will be larger, thus the answer will always be YES The answer is D, either statement alone is sufficient to answer the question. _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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