Question

Assume x and y are two odd numbers and x/y is an integer.

Which of the following statements are true?
I. x + y is odd
2. xy is odd.
3. x/y is odd
4. x-y is odd

Answer 1

Let us check these out one at a time:

1. x + y is odd. FALSE. The sum of 2 odd numbers is even.

2. xy is odd. TRUE. The product of 2 odd numbers is odd.

3. x/y is odd. TRUE. The ratio of 2 odd numbers is odd, if the ratio is an integer.

4. x - y is odd. FALSE. The difference of 2 odd numbers is even.

Only statements 2 and 3 are TRUE, so that makes (C) the correct answer.