Q77 / 150 · MHT CET 2008 · Mathematics

Negation of the conditional, "If it rains, I shall go to school" is

  • A
    It rains and I shall go to school
  • Correct answer
    B
    It rains and I shall not go to school
  • C
    It does not rains and I shall go to school
  • D
    None of the above

Solution

Let $p:$ It rains, $q:$ I shall go to school Thus, we have $p \Rightarrow q$ Its negation is $\sim(p \Rightarrow q)$ ie, $p \wedge \sim q$ ie, it rains and I shall not go to school.

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

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