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## If set T was derived from set S when all

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NandishSS Master | Next Rank: 500 Posts
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#### If set T was derived from set S when all

Mon Sep 11, 2017 6:28 am
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

OA: D

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### GMAT/MBA Expert

Jay@ManhattanReview GMAT Instructor
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Thu Sep 14, 2017 10:45 pm
NandishSS 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

OA: D
We must note the following.

1. If a positive number is multiplied a positive integer, the resultant is greater than the original number.

2. If a negative number is multiplied a positive integer, the resultant is less than the original number.

3. If 0 is multiplied a positive integer, the resultant is equal to the original number.

So, if we need to answer the question in Yes, either all the numbers in the set should be positive or Median is positive.

Statement 1: The median of set S is positive.

As discussed above, this condition suffices.

Statement 2: The median of set S is positive.

As discussed above, this condition suffices.

Hope this helps!

-Jay
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