If the positive square root of the product of 3 numbers ...

airan

If the positive square root of the product of 3 numbers is the largest of the 3 different numbers, what is the product of the 2 smallest numbers

(1) The largest number is 12.
(2) The average( arithematic) if the 3 numbers is 20/3.

wilderness · Posted: Mon Jul 07, 2008 12:22 pm Post subject:

IMHO the answer is D

Let x y z be the 3 integers and let X be the biggest one.
beacase sqrt (xyz) = x
xyz = x^2

So yz = x i.e. the product of the smaller numbers is equal to the bigger number.

I. If x=12 then yz=12. SUFFICIENT

2. Says x+y+z=20
The only combination of integers I could find was 2,6,12 and hence the product of 2 small numbers is 12. SUFFICIENT.

So both are sufficient alone.
Did anyone find another combination of numbers that satisfies (2).

sethids · Posted: Mon Jul 07, 2008 1:43 pm Post subject:

wilderness · Posted: Sat Jul 12, 2008 2:57 pm Post subject:

thanks for the correction

tzink · Posted: Sat Jul 12, 2008 8:44 pm Post subject:

soo.. just for the record, it's NOT safe to assume that all GMAT numbers are integers?

lion147 · Posted: Sat Jul 12, 2008 10:21 pm Post subject: