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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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Director
Joined: 25 Oct 2008
Posts: 573
Location: Kolkata,India
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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Manager
Joined: 30 May 2009
Posts: 212

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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?
Manager
Joined: 10 Jul 2009
Posts: 150

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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
Manager
Joined: 30 May 2009
Posts: 212

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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
Joined: 12 Jun 2009
Posts: 1791
Location: United States (NC)
Concentration: Strategy, Finance
Schools: UNC (Kenan-Flagler) - Class of 2013
GMAT 1: 720 Q49 V39
WE: Programming (Computer Software)

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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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Intern
Status: Applying
Joined: 30 Jul 2009
Posts: 25

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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.
Intern
Status: Applying
Joined: 30 Jul 2009
Posts: 25

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31 Jul 2009, 12:25
[EDIT - REMOVED BY USER]

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: Quant Review DS#41   [#permalink] 31 Jul 2009, 12:25
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