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If the range of the six numbers 4,3,14,7,10 and x is 12, wha
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14 Sep 2020, 10:20
14 Sep 2020, 10:20
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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) 0
(B) 2
(C) 12
(D) 13
(E) 15
Source: GMAT
(A) 0
(B) 2
(C) 12
(D) 13
(E) 15
Source: GMAT
Re: If the range of the six numbers 4,3,14,7,10 and x is 12, wha
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14 Sep 2020, 10:21
14 Sep 2020, 10:21
Expert Reply
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Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
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Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
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Re: If the range of the six numbers 4,3,14,7,10 and x is 12, wha
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14 Sep 2020, 11:01
14 Sep 2020, 11:01
Carcass 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) 0
(B) 2
(C) 12
(D) 13
(E) 15
Source: GMAT
(A) 0
(B) 2
(C) 12
(D) 13
(E) 15
Source: GMAT
If we examine the KNOWN values in ascending order, we have {3, 4, 7, 10, 14}
These numbers have a range of 11 (since 14 - 3 = 11)
In order the set to have a range of 12, there are two possible values for x:
case a: x = 2, in which case the set is {2, 3, 4, 7, 10, 14}
case b: x = 15, in which case the set is {3, 4, 7, 10, 14, 15}
So, the difference in x-values = 15 - 2 = 13
Answer: D
