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Range of a set is = Maximum Value in set - Minimum Value in set

Statement 1: Tells us that all the numbers in set are +ve. So in this case Maximum Value - Minimum value will result in a number that is lesser than Maximum value of range but more than minimum value. Any number added to set that is not changing maximum value or minimum value will not change the range of set. So this alone can answer the question.

Statement 2: Tells us that the mean of the new set is smaller than R. What about the mean of old set, was that smaller than R as well. Moreover it may also lead to think -ve numbers are involved. So this alone is not sufficient.

Statement 1: took two random example 6,7,10 and 3,5,6,7 - in the first case range was increased and in the later case range remained same. so insufficient.

Statement 2: Got different results for positive numbers and a combination of positive and negative. (eg, 2,6,9 and -2,-1,1)

Combined - for positive numbers, given the second condition, always got same range. Somehow I am not confident though because this is all driven by examples. But I would go with C in GMAT.

Statement 1: took two random example 6,7,10 and 3,5,6,7 - in the first case range was increased and in the later case range remained same. so insufficient.

Statement 2: Got different results for positive numbers and a combination of positive and negative. (eg, 2,6,9 and -2,-1,1)

Combined - for positive numbers, given the second condition, always got same range. Somehow I am not confident though because this is all driven by examples. But I would go with C in GMAT.

OA is C in fact. would you mind showing your reasoning with numerical examples?

A) -------0-----------------r---------------[AAAAAAAAAAAAA] the range of set A increases B) -------0-[AAAAAAAAAArA]------------------------------- the range of set A does not increase C) --[AA0AAAAAAAAA]--r------------------------------------ the range of set A increases

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