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If S is a set of four numbers w, x, y and z, is the range of

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If S is a set of four numbers w, x, y and z, is the range of [#permalink] New post 24 Apr 2012, 08:17
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If S is a set of four numbers w, x, y and z, is the range of the numbers in S greater than 2?

(1) w-z > 2
(2) z is the least number in S.

Last edited by Bunuel on 03 Jun 2013, 01:32, edited 2 times in total.
Edited the question and added the OA
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Re: If S is a set of four numbers w, x, y and z, is the range of [#permalink] New post 24 Apr 2012, 09:41
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gayathriz wrote:
If S is a set of four numbers w, x, y and z, is the range of the numbers in S greater than 2?

(1) w-z > 2
(2) z is the least number in S.

Please do explain your answer choice.
Thanks


(1) w-z > 2. The range of a set is the difference between the largest and the smallest elements of the set, since the difference of some particular two numbers are already more than 2 then the the range must also be more than 2. Sufficient.

(2) z is the least number in S --> just says that from four unknowns z is the smallest one (obviously one of the unknowns would be the smallest one, what difference does it make to know that it's z?). Not sufficient.

Answer: A.

Hope it's clear.
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Re: If S is a set of four numbers w, x, y and z, is the range of   [#permalink] 24 Apr 2012, 09:41
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