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Question
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.
1 only
2 and 3 only
1 and 3 only
3 only
ANSWER : 3
Descrption
<p>1. Addition of odd and even integers yields odd intgers. Example: 4 + 3 = 7. So, statement 1 is true.</p> <p>2. Multiplication of odd and even integers yields even integers. Example: 4x3 = 12. So, statement 2 is false.</p> <p>3. 2x is even and y is also even. So, 2x + y is even. Therefore, statement 3 is true. </p>
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