MHT CET · Maths · Mathematical Reasoning
The 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 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
Answer & Solution
Correct Answer
(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
Step-by-step Solution
Detailed explanation
We know
\(\sim(p \leftrightarrow q) \equiv(p \wedge \sim q) \vee(\sim p \wedge q)\)
Hence option (B) is correct
\(\sim(p \leftrightarrow q) \equiv(p \wedge \sim q) \vee(\sim p \wedge q)\)
Hence option (B) is correct
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