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CAT 2001 | Question: 3

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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?

  1. $(x − z)^2y$ is even
  2. $(x − z)^2y$ is odd
  3. $(x − y)y$ is odd
  4. $(x − y)^2z$ is even

 

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Option 3

(x-z) as both are odds so subtraction odd from odd is always even (eg. 9-5)

And multiplication of two even no.s always even

So option 3 is false
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