SOLUTION: If x and y are odd integers, which of the following must be an odd integer? (A) x + y (B) xy (C) x=y (D) (xy + 1)^2 (E) none of these

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: If x and y are odd integers, which of the following must be an odd integer? (A) x + y (B) xy (C) x=y (D) (xy + 1)^2 (E) none of these      Log On


   

Question 266515: If x and y are odd integers, which of the following must be an odd integer?
(A) x + y (B) xy (C) x=y (D) (xy + 1)^2 (E) none of these
Answer by vksarvepalli(154) About Me  (Show Source):
You can put this solution on YOUR website!
If x and y are odd integers

then,
x + y will be even
x - y will be even
x * y will be odd


now since xy is odd xy+1 will be even

so (xy + 1)^2 will also be even (as any no. * even no. is a even no.)

so B)xy is the answer