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1. If x is an odd integer and y is an even integer which of the statements is(are) always true? I. x + y is odd II. xy is odd III. 2x + y is even.

  • A. I only
  • B. I only
  • C. I only
  • D. I only

Answer: Option C

Explanation:

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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