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# If the range of the six numbers 4, 3, 14, 7, 10, and x is

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Current Student
Joined: 11 May 2008
Posts: 551
If the range of the six numbers 4, 3, 14, 7, 10, and x is [#permalink]

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25 Jul 2008, 18:29
If the range of the six numbers 4, 3, 14, 7, 10, and x is 12, what is the difference between the greatest possible value of x and least possible value of x?
(A) 2
(B) 7
(C) 12
(D) 13
(E) 15

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Director
Joined: 01 Jan 2008
Posts: 601

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25 Jul 2008, 18:37
arjtryarjtry wrote:
If the range of the six numbers 4, 3, 14, 7, 10, and x is 12, what is the difference between the greatest possible value of x and least possible value of x?
(A) 2
(B) 7
(C) 12
(D) 13
(E) 15

(3+12)-(14-12)=13 -> D
Director
Joined: 20 Sep 2006
Posts: 631

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25 Jul 2008, 18:46
maratikus wrote:
arjtryarjtry wrote:
If the range of the six numbers 4, 3, 14, 7, 10, and x is 12, what is the difference between the greatest possible value of x and least possible value of x?
(A) 2
(B) 7
(C) 12
(D) 13
(E) 15

(3+12)-(14-12)=13 -> D

Another vote for D.
VP
Joined: 17 Jun 2008
Posts: 1290

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25 Jul 2008, 20:50
arjtryarjtry wrote:
If the range of the six numbers 4, 3, 14, 7, 10, and x is 12, what is the difference between the greatest possible value of x and least possible value of x?
(A) 2
(B) 7
(C) 12
(D) 13
(E) 15

IMO D
range=highest - lowest
now greatest possi val of x is when x-3=range=12 => x=15

now least possi val of x is when ,14-x=12 => x=2

hence diff is 13

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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.

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Its Now Or Never

Re: range of nos.   [#permalink] 25 Jul 2008, 20:50
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# If the range of the six numbers 4, 3, 14, 7, 10, and x is

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