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GMAT Diagnostic Test Question 44

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Manager
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Joined: 25 May 2011
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Re: GMAT Diagnostic Test Question 44 [#permalink] New post 17 Sep 2011, 12:56
Economist wrote:
I used Pythagoras principle here:

let x and y be the sides of a triangle and 10 be the hypotenuse.

Now, A and C both are not possible.
A: sum of two sides cannot be equal to 10, the sum of two sides should be > 10.
C: x should be less than sum of y and 10.


But the question didn't say X, Y, and 10 are the vertices of a triangle, so X or Y can be zero (and they don't need to follow the Pythagoras principle).
So, just C is the right answer.
Intern
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Re: GMAT Diagnostic Test Question 44 [#permalink] New post 15 Nov 2012, 11:20
I don't get the solution at all....

I can't see beyond the fact that for x^2 + y^2 = 100, x and y must be one of these combinations:

10, 0
-10, 0
6, 8
-6, 8
6, -8
-6, -8

In which case:

A) |x| + |y| = 10..... could be if 10, 0

B) |x| > |y| ..... could be if 10, 0

C) |x| > |y| +10 ........ not for any of the above combinations

D) |x| = |y| ....... not for any of the above combinations

E) |x| - |y| = 5 ....... not for any of the above combinations

Potential answer C, D or E.
Re: GMAT Diagnostic Test Question 44   [#permalink] 15 Nov 2012, 11:20
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