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If a, b, and c are distinct positive integers where a < b

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If a, b, and c are distinct positive integers where a < b

by GMATinsight » Thu Oct 08, 2015 10:05 am
If a, b, and c are distinct positive integers where a < b < c and √abc=c, what is the value of a?

(1) c = 8
(2) The average of a, b, and c is 14/3 .

Answer: option D
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Source: — Data Sufficiency |
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by GMATinsight » Thu Oct 08, 2015 10:06 am
GMATinsight wrote:If a, b, and c are distinct positive integers where a < b < c and √abc=c, what is the value of a?

(1) c = 8
(2) The average of a, b, and c is 14/3 .

Answer: option D
Given : √abc=c
i.e. abc = c^2
i.e. ab = c

Question : a = ?

Statement 1: c = 8
i.e. ab = 8
@b=8, a=1 Not acceptable because b=c whereas b should be less than c
@b=4, a=2 only acceptable case
SUFFICIENT

Statement 2: The average of a, b, and c is 14/3 .
a+b+c = 14
a+b+ab = 14
@b=4, a=2 only acceptable case
SUFFICIENT

Answer: option D
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