MHT CET · Maths · Mathematical Reasoning
If the truth value of the statement pattern \([\mathrm{p} \wedge \sim \mathrm{r}] \rightarrow \sim \mathrm{r} \wedge \mathrm{q}\) is False, then which of the following has truth value False?
- A \((p \vee r) \rightarrow \sim r\)
- B \((r \vee q) \rightarrow \sim p\)
- C \(\sim(p \vee q) \rightarrow \sim r\)
- D \(\sim(r \vee q) \rightarrow \sim p\)
Answer & Solution
Correct Answer
(D) \(\sim(r \vee q) \rightarrow \sim p\)
Step-by-step Solution
Detailed explanation
\([p \wedge \sim r] \rightarrow \sim r \wedge q\) is F \([p \wedge \sim r]\) is T AND \([\sim r \wedge q]\) is F
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