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KCET2016MathematicsMathematical Reasoning

The contrapositive of the converse of the statement "If ( x ) is a prime number then ( x ) is odd" is

Options

  1. AIf ( x ) is not a prime number then ( x ) is odd.
  2. BIf ( x ) is not an odd number then ( x ) is not a prime number.
  3. CIf ( x ) is a prime number then it is not odd.
  4. DIf ( x ) is not a prime number then ( x ) is not an odd.

Correct answer

D. If ( x ) is not a prime number then ( x ) is not an odd.

Step-by-step solution

Let p: x is a prime number and q: x is an odd number. So, p q and converse, q p Now, contrapositive is p q Therefore, if x is not a prime number then x is not odd number.

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