Let x, y and z be distinct integers, that are odd and positive. Which one of the following statements cannot be true?

  • Option 1)

    (x – y)2 y is even

  • Option 2)

    (x – y)2 z is even

  • Option 3)

    (x + y + z)2 (x + y) is even      

  • Option 4)

    (x – y)(y + z)(x + y – z) Cannot be even

  • Option 5)

    xyz2 is odd`          

Answers (1)

D option is false as sum or difference of two numbers will become even number

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