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CAT 2001 — QA Question 3

Even OddEasy

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

Answer & solution

  • (x − z)2y is even

  • B

    (x − z)2y is odd

  • C

    (x − z)y is odd

  • D

    (x − y)2z is even

Solution

Assume some suitable values, for example, x = 1, y = 3 and z = 2

Now, substitute in the options and check.

Only option 1 is false.

Hence, option (a).

CAT 2001 QA Q3: Let x, y and z be distinct integers. x and y are odd and positive, and z is even and positive. Which one of th — Solution | TheCATExam