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Gmat prep ! Ques

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by abhinav85 » Mon Jun 01, 2009 7:23 pm
The number 75 can be written as the sum of the square of 3 postive integers. What is the sum of these 3 integers?

A) 17

B) 16

C) 15

D) 14

E) 13

E
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Re: Gmat prep ! Ques

by kvamsy » Mon Jun 01, 2009 8:09 pm
I am getting 15 as answer, if I assume all the three were equal.

Please post solution for this .
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Re: Gmat prep ! Ques

by Pranay » Tue Jun 02, 2009 4:14 am
Hi Guys,

My Procedure is,

Divide the number 75 into three numbers such that each number has a square and when all the three are added they sum up to 75.

I split it this way

50+25=75
49+1+25 = 75
7^2 + 1^2 + 5^2 = 75.

Thus, 7+1+5 = 13 is the answer.

Hope it helps. :)
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Re: Gmat prep ! Ques

by Stuart@KaplanGMAT » Tue Jun 02, 2009 12:17 pm
kvamsy wrote:I am getting 15 as answer, if I assume all the three were equal.

Please post solution for this .
15 should be a valid solution to the question, unless the original question actually read "3 distinct positive integers".
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