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Question: Answered & Verified by Expert
The negation of the statement "The payment will be made if and only if the work is finished in time" is
MathematicsMathematical ReasoningMHT CETMHT CET 2022 (06 Aug Shift 2)
Options:
  • A The work is finished in time and the payment is not made
  • B Either the work finished in time and the payment is not made or the payment is made and the work is not finished in time
  • C The payment is made and the work is not finished in time
  • D The work is finished in time and the payment is not made or the payment is made and the work is finished in time
Solution:
1028 Upvotes Verified Answer
The correct answer is: Either the work finished in time and the payment is not made or the payment is made and the work is not finished in time
We know
$\sim(p \leftrightarrow q) \equiv(p \wedge \sim q) \vee(\sim p \wedge q)$
Hence option (B) is correct

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