MathRevolution wrote:

Set S has six numbers and their average (arithmetic mean) is 32. What is the median of the numbers?

1) The six numbers are greater than or equal to 31

2) There is “37” in set S

Hi...

There are 6 numbers, so total is 6*32=192...

Median=?

Let's see the statements..

1) Six numbers are > or =31..

All numbers are 32..... Median is 32

5 numbers are 31 and 6 is 37.... Median is 31..

Different answers possible..

Insufficient

2) 37 is in set ..

Various combinations possible..

The lowest can be ALL four 0, 5th can be 37 and then 6th will be 192-37=155.... Median=0..

Five of them 31 and 6th 37.... Median 31

Insufficient

Combined..

One is 37...

So TOTAL of remaining 5 is 192-37=155...

Only possibility is 155=31*5..

As nine can be lesser than 31 as per statement I..

Median is 31..

Sufficient

C

_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372

2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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