JEE Main · MathematicsMedium
The negation of the statement 'If it rains, then the match will be cancelled' is:
- A.It rains and the match will not be cancelled
- B.It does not rain or the match will be cancelled
- C.If it does not rain, then the match will not be cancelled
- D.It rains or the match will not be cancelled
Show correct answer & step-by-step solution
Correct answer: A — It rains and the match will not be cancelled
Solution
- Let be the statement 'it rains' and be the statement 'the match will be cancelled'.
- The original statement is an implication of the form .
- The logical negation of is defined as .
- Substituting the given statements, we get 'it rains' AND 'the match will not be cancelled'.
- Hence the answer is (A).
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