The negation of the statement "The payment will be made if and only if the work is finished in time" is

The negation of the statement "The payment will be made if and only if the work is finished in time" is
  1. The work is finished in time and the payment is not made
  2. 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
  3. The payment is made and the work is not finished in time
  4. 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

We know $\sim(p \leftrightarrow q) \equiv(p \wedge \sim q) \vee(\sim p \wedge q)$ Hence option (B) is correct

Asked in: MHT CET 2022 (06 Aug Shift 2)

Practice more Mathematical Logic questions on Aicharya