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GMAT Prep Data Suffeciency problem

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Source: — Data Sufficiency |
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by niketdoshi123 » Sun Apr 22, 2012 9:41 pm
A certain list consists of 5 different integers. Is the average (arithmetic mean) of the two greatest integers in the list greater than 70?

(1) the median of the integers in the list is 70.
(2) the average of the integers in the list is 70.
statement 1
As there are 5 different integers, so the two greatest integers in the list will be greater than the median. In this case median is 70.
If two nos are greater than 70 their average will also be greater than 70.
Hence SUFFICIENT.

statement 2
If the average of 5 different nos is 70, then the average of two greatest integers in the list will always be greater than 70.

Consider this example : 66,67,68,69,80
Average = 70
average of two greatest integers in the list (69+80)/2 = 74.5>70

Hence SUFFICIENT.

so the answer is .D.
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