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Question

# Statement - 1 : The statement (p∨q)∧∼p and ∼p∧q are logically equivalent. Statement - 2 : The end columns of the truth table of both statements are identical.

A
Statement - 1 is false, Statement - 2 is true
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B
Statement - 1 is true, Statement - 2 is true; Statement - 2 is a correct explanation for Statement - 1
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C
Statement - 1 is true, Statement - 2 is true; Statement - 2 is not a correct explanation for Statement - 1
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D
Statement - 1 is true, Statement - 2 is false
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Solution

## The correct option is B Statement - 1 is true, Statement - 2 is true; Statement - 2 is a correct explanation for Statement - 1Truth table has been given below: pq∼pp∨q(p∨q)∧∼p∼p∧qTTFTFFTFFTFFFTTTTTFFTFFF

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