Q93 / 180 · KCET 2007 · Mathematics

The negation of the proposition "If 2 is prime, then 3 is odd'" is

  • A
    2 is not prime, then 3 is not odd
  • Correct answer
    B
    2 is prime and 3 is not odd
  • C
    2 is not prime and 3 is odd
  • D
    is 2 is not prime, then 3 is odd

Solution

Let $p=2$ is prime $q=3$ is odd $p \rightarrow q=2$ is prime, then 3 is odd. Negation of $P \rightarrow q$ is $\sim(p \rightarrow q)$ $\Rightarrow \quad p \wedge \sim q$ $\Rightarrow 2$ is prime and 3 is not odd.

Hence, the correct answer is option: 'B'.

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