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S = { w , x , y, z } , is the range of S greater than 5 1 -

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rxs0005
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S = { w , x , y, z } , is the range of S greater than 5 1 - [#permalink] New post   26 Sep 2010, 09:27
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S = { w , x , y, z } , is the range of S greater than 5

(1) The range of any 3 numbers in S is > 5
(2) The positive difference between any two numbers inset S is > 3
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D
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Re: Range DS [#permalink] New post   26 Sep 2010, 10:32
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rxs0005 wrote:
S = { w , x , y, z } , is the range of S greater than 5


1 - the range of any 3 numbers in S is > 5

2 - The positive difference between any two numbers inset S is > 3


The range of a set is the difference between the largest and smallest elements of a set.

(1) If a range of a subset is more than 5 then the range of entire set is also more than 5. Consider this: we are told that the range of any 3 numbers in S is > 5, so the range of a subset which includes the largest and smallest elements of a set is also more than 5. Sufficient.

(2) Suppose the numbers ordered in ascending order are: w , x , y, z. As the positive difference between any two numbers inset S is > 3, then z-y>3 and y-w>3 --> z-w>6, so the range is already more than 6. Sufficient.

Answer: D.
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Re: Range DS [#permalink] New post   01 Oct 2010, 18:58
Good question. but for goodness's sake, please change that picture. It is horrible.
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Re: Range DS [#permalink] New post   01 Oct 2010, 19:22
hemanthp wrote:
Good question. but for goodness's sake, please change that picture. It is horrible.


hahahaha ........ that pic always makes me nervous ............. damn.
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Re: Range DS [#permalink] New post   01 Oct 2010, 19:30
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rxs0005 wrote:
S = { w , x , y, z } , is the range of S greater than 5


1 - the range of any 3 numbers in S is > 5

2 - The positive difference between any two numbers inset S is > 3


D - each alone is sufficient.

1 - the range of any 3 numbers in S is > 5
Assuming 3 numbers as A, B, & C .......... if C-A > 5 ............no need to check anything else ........ the range for the set is >5 SUFFICIENT

2 - The positive difference between any two numbers inset S is > 3
If lA-Bl>3 ...... then lB-Cl>3 ............... if A&C are on the same side of B ...... then there own difference has to be more than 3 making the range of A,B & C more than 6 ............... and if they are on the opp side of B, then the range of A, B & C again is more than 6. SUFFICIENT
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Re: S = { w , x , y, z } , is the range of S greater than 5 1 - [#permalink] New post   01 May 2021, 13:58
S = { w , x , y, z } , is the range of S greater than 5

(1) The range of any 3 numbers in S is > 5
This tells us at minimum the range of S is > 5 and less than some upper bound (which we don't need to know)
Sufficient

(2) The positive difference between any two numbers inset S is > 3
Same as St1
Sufficient.

D.
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Re: S = { w , x , y, z } , is the range of S greater than 5 1 - [#permalink]
01 May 2021, 13:58
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