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12 Jun 2017, 05:07
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If the average of 10, 14, and n is greater than or equal to 8 and less than or equal to 12, what is the least possible value of n ?
(A) –12
(B) –6
(C) 0
(D) 6
(E) 12
(A) –12
(B) –6
(C) 0
(D) 6
(E) 12
Source: Nova GMAT
Difficulty Level: 550
Difficulty Level: 550
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Schools: ISB '19 IIMB IIMA XLRI HEC Sept19 intake Rotman '21 NUS '21 NTU '20 Trinity MBA '20 Bocconi '21 Smurfit "21
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12 Jun 2017, 05:26
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SajjadAhmad
If the average of 10, 14, and n is greater than or equal to 8 and less than or equal to 12, what is the least possible value of n ?
(A) –12
(B) –6
(C) 0
(D) 6
(E) 12
Nova GMAT
(A) –12
(B) –6
(C) 0
(D) 6
(E) 12
Nova GMAT
Average of \(10, 14\), and \(n\) is greater than or equal to \(8\).
\(\frac{10+14+n}{3}\) \(\geq\)\(8\)
\(24+n\) \(\geq\) \(8*3\)
\(24+n\) \(\geq\) \(24\)
Least value would be \(24+n = 24\). Therefore least value of \(n\) would be \(0\). Answer C.
12 Jun 2017, 09:29
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12>=(24+n)>=8
=>12>=n>=0 hence least value = 0 ---(c)
=>12>=n>=0 hence least value = 0 ---(c)
