**Quote:**

X and Y are the lengths of two non-hypotenuse sides of a right triangle, is the area of the triangle an integer?

(1) X is a prime number.

(2) Y is an odd integer.

Area = 1/2(LxB) = 1/2 (X x Y)

Statement 1) X is a prime no. i.e 2,3,5,7,11 and so on. Except for 2 all prime no.s are odd.

If X=2 => Area=1/2(2xY) = Area = Y ... We dont know whether Y is an integer or not - Insufficient.

Statement 2) Y is an odd Interger ... We dont know whether X is an or not - Insufficient.

Statement 1) & 2) combined

Area = (Prime no. x Odd no.)/2

If X = 2 => Area = (2 x Odd no.)/2 => Area = Odd Integer ... True

If X = 3,5,7 and so on for prime no. => Area = (Odd x Odd)/2 = Even/2 .. Not true

Choice E) is the correct ans. Statement 1) & 2) combined are not sufficient to ans the question.

Good luck

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Good luck

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"If a street performer makes you stop walking, you owe him a buck"

"If this post helps you on your GMAT journey, drop a +1 Kudo "

"Thursdays with Ron - Consolidated Verbal Master List - Updated"