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

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

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New post 25 Jul 2008, 18:29
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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
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Re: range of nos. [#permalink]

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New post 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

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Director
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Re: range of nos. [#permalink]

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New post 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.

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Re: range of nos. [#permalink]

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New post 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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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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