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Given info => x,y are integers
w need to find if x is even or not
Statement 1
x(y+11) is even
Here if y is odd=> x can be even or not => not sufficient
Statement 2
y^+odd=odd => y^2 must be even
hence y must be even
But we don't know the even/odd nature of x
hence insufficient

Combing statements 1 and 2
we get y=even
so y+11=> odd
hence to make x(y+11) even ,x must be even
Hence sufficient
Hence C
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alphonsa
If x and y are positive integers, is x an even integer?

(1) x(y + 11) is an even integer.
(2) y^2 - 6y + 5 is an odd integer.

(1) x(y + 11) is an even integer.
Three possibilities..
a) x and y are odd, then y+11 will be even.
b) x is even and y is odd
c) both x and y are even

(2) \(y^2 - 6y + 5\) is an odd integer.
\(y^2 - 6y + 5\)....6y will be even and 5 is odd, so 5-6y will be odd
\(y^2 - 6y + 5=y^2+odd=odd....y^2=odd-odd=even\), so y is even.
But nothing about x

Combined
y is even, so y+11 will be odd..
Now x(y+11)=x*odd=even, so x is even

C
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Hello from the GMAT Club BumpBot!

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