Gmat prep ! Ques

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abhinav85: Master | Next Rank: 500 Posts; Posts: 179; Joined: Mon Dec 29, 2008 4:41 am; Thanked: 2 times

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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Source: Beat The GMAT — Problem Solving | Mon Jun 01, 2009 7:23 pm

kvamsy: Senior | Next Rank: 100 Posts; Posts: 52; Joined: Tue Mar 25, 2008 9:00 pm

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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Pranay: Senior | Next Rank: 100 Posts; Posts: 59; Joined: Tue May 05, 2009 1:58 am; Thanked: 1 times

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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Stuart@KaplanGMAT: GMAT Instructor; Posts: 3225; Joined: Tue Jan 08, 2008 2:40 pmFollowed by: 614 members; Location: Toronto; Thanked: 1710 times; GMAT Score:800

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".

Stuart Kovinsky | Kaplan GMAT Faculty | Toronto

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