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gmat prep1: problem solving question

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Status: GMAT once done, Going for GMAT 2nd time.
Joined: 29 Mar 2010
Posts: 34
Location: Los Angeles, CA
Schools: Anderson, Haas, Ross, Kellog, Booth, McCombs
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Kudos [?]: 1 [0], given: 3

gmat prep1: problem solving question [#permalink] New post 18 May 2011, 19:41
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (01:39) correct 0% (00:00) wrong based on 3 sessions
The sum of squares of 3 positive distinct integers x, y and z is 75. What is x+y+z?

A. 17
B. 16
C. 15
D. 14
E. 13 (Ans)

I had trouble solving this question. Is there a simple way to solve this?
[Reveal] Spoiler: OA

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Re: gmat prep1: problem solving question [#permalink] New post 18 May 2011, 20:13
Concentrate on numbers close to 75,which are squares.

6^2, 7^2,8^2

out of this 7^2 = 49. 75-49 = 26
25+1 = 26

hence 7^2 + 5^2 + 1^2

7+5+1 = 13
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Re: gmat prep1: problem solving question   [#permalink] 18 May 2011, 20:13
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