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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]

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28 Jul 2009, 18:52
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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.

My approach was, since range is the difference between maximum and minimum numbers we need to check whether the range of S can be computed.

Statement 1. w-z > 2, however we don't know that w is the max and and z is the minimum. So NOT Sufficient

Statement 2. NOT Sufficient

Combining both since z is the least number so we can assume either w is the maximum number or w is only greater than z and smaller than x and y. Thus, IMO both together are sufficient and hence, answer should be C.

However, the OA is A.

Can someone explain where I am making a mistake.
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http://gmatclub.com/forum/countdown-beginshas-ended-85483-40.html#p649902

Manager
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28 Jul 2009, 20:19
Tejal I agree with you. I think it should be C. But lets wait for others to respond as well, to see if we are missing something.
BTW, what is the source so we know how trusthworthy the OA is?
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28 Jul 2009, 20:20
1. w-z>2
So irrespective of the other numbers the difference between w and z is greater than 2. Even if w and z are neither max nor min, as diff is GT 2 so the range should also be greater than 2. So 1 is sufficient.
2. Z is least number. But we do not have info abt other variables and their values in the set S.

So 1 alone is sufficient and answer is A
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28 Jul 2009, 20:25
Oops...you are so correct...thanks for the explanation..
How did I miss that? I need to brush up my sets concepts
Current Student
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29 Jul 2009, 07:08
for 1), you could also just move z over to the right to get w>2 +z. Regardless of whether w and/or z are pos/neg w still looks to be 2 more than z. Moving z should be safe since we are not dividing/multiplying a potentially negative number.
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31 Jul 2009, 12:24
[EDIT - REMOVED BY USER]

Last edited by nplaneta on 17 Jun 2012, 07:02, edited 1 time in total.
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31 Jul 2009, 12:25
[EDIT - REMOVED BY USER]
Re: Quant Review DS#41   [#permalink] 31 Jul 2009, 12:25
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