MHT CET · Maths · Mathematical Reasoning
If \(p: A\) man is happy, \(q: A\) man is rich, then the symbolic form of ' \(A\) man is neither happy nor rich' is
- A \(\sim p \wedge q\)
- B \(\sim p \vee \sim q\)
- C \(p \vee q\)
- D \(\sim(p \vee q)\)
Answer & Solution
Correct Answer
(D) \(\sim(p \vee q)\)
Step-by-step Solution
Detailed explanation
A man is neither happy nor rich
\(\equiv\) (Man is not happy) and (Man is not rich)
\(\equiv \sim P \wedge \sim q\)
\(\equiv \sim(P \vee q)\)
\(\equiv\) (Man is not happy) and (Man is not rich)
\(\equiv \sim P \wedge \sim q\)
\(\equiv \sim(P \vee q)\)
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