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MHT CET · Maths · Mathematical Reasoning

If \(\mathrm{p}\) : It is raining and \(\mathrm{q}\) It is pleasant, then the symbolic from of "It is neither raining nor pleasant" is

  1. A \(\sim \mathrm{p} \wedge \mathrm{q}\)
  2. B \(\sim \mathrm{p} \vee \mathrm{q}\)
  3. C \((\sim \mathrm{p}) \wedge(\sim \mathrm{q})\)
  4. D \((\sim \mathrm{p}) \vee(\sim \mathrm{q})\)
Verified Solution

Answer & Solution

Correct Answer

(D) \((\sim \mathrm{p}) \vee(\sim \mathrm{q})\)

Step-by-step Solution

Detailed explanation

\(\mathrm{p}\) : It is raining and q: It is pleasant
So symbolic form of 'It is neither raining nor pleasant' is \(\sim \mathrm{p} \vee \sim \mathrm{q}\)