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If X is an odd integer and Y is an even integer, which of the following statements is (are) always true? 1. X+Y is odd 2. XY is odd 3. 2X+Y is even

If X is an odd integer and Y is an even integer, which of the following statements is (are) always true? 1. X+Y is odd 2. XY is odd 3. 2X+Y is even Correct Answer 1 only

1. Addition of odd and even integers yields odd intgers. Example: 4 + 3 = 7. So, statement 1 is true. 2. Multiplication of odd and even integers yields even integers. Example: 4x3 = 12. So, statement 2 is false. 3. 2x is even and y is also even. So, 2x + y is even. Therefore, statement 3 is true. 

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