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
- A \(\sim \mathrm{p} \wedge \mathrm{q}\)
- B \(\sim \mathrm{p} \vee \mathrm{q}\)
- C \((\sim \mathrm{p}) \wedge(\sim \mathrm{q})\)
- D \((\sim \mathrm{p}) \vee(\sim \mathrm{q})\)
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 \(\sim \mathrm{p} \vee \sim \mathrm{q}\)
So symbolic form of 'It is neither raining nor pleasant' is \(\sim \mathrm{p} \vee \sim \mathrm{q}\)
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