MHT CET 2023 Mathematics question

Not in JEE syllabus

Negation of the statement “The payment will be made if and only if the work is finished in time.” Is

(A)The work is finished in time and the payment is not made
(B)The payment is made and the work is not finished in time
(C)The work is finished in time and the payment is not made, or the payment is made and the work is not finished in time.
(D)Either the work is finished in time and the payment is not made, or the payment is made and the work is not finished in time.Correct

Answer: (D)

Solution

Let : "the payment will be made" and : "the work is finished in time". The statement is . Since , its negation is , i.e. the exclusive "either-or" of the two

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Question ID VK-094615