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12 Sep 2016, 04:52
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
52% (01:53) correct
48%
(01:34)
wrong
based on 117
sessions
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X and Y are the lengths of two non-hypotenuse sides of a right triangle, is the third side of the triangle an integer?
(1) X is a prime number.
(2) Y is an odd integer.
*self made
(1) X is a prime number.
(2) Y is an odd integer.
*self made
12 Sep 2016, 05:06
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If X=3 and Y = 3
Third Side = \(\sqrt{x*x + y*y}\) = \(\sqrt{9+9}\) = \(\sqrt{18}\) = 4.24 ( Not an Interger.
Ans should be E.
Third Side = \(\sqrt{x*x + y*y}\) = \(\sqrt{9+9}\) = \(\sqrt{18}\) = 4.24 ( Not an Interger.
Ans should be E.
12 Sep 2016, 07:35
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0ld
You are getting a definite answer as NO. hence it shouldn't be E. It should be C.
Take any such combination of X and Y such that both the statements are met, you will always get a non integral value of the hypotenuse.
Nice problem. 
