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Kaplan Question - Please help

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Source: — Data Sufficiency |
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by krusta80 » Sun Mar 04, 2012 12:05 am
rjanardhanan wrote:If n is a positive number less than 15, is y greater than the average (arithmetic mean) of n and 15?

(1) On the number line, y is closer to 15 than it is to n

(2) y = 3n
0 < n < 15
Is y > (n+15)/2?

Part 1
The midpoint of n and 15 is (n+15)/2, wihch is the same as the arithmetic mean. Therefore, if y is closer to one or the other, we can safely answer the question. In this case, it is always TRUE.

SUFFICIENT.

Part 2
y = 3n

Plugging in...

3n > (n+15)/2 ?
5n > 15?
n > 3?

This is INSUFFICIENT, since the only known minimum constraint of n is 0.

A
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