Chapter 20: Problem 1920
\((p \Rightarrow q) \Leftrightarrow(\sim q \Rightarrow \sim p)\) is a (a) contradiction (b) tautology (c) both tautology \& contradiction (d) None of above
Chapter 20: Problem 1920
\((p \Rightarrow q) \Leftrightarrow(\sim q \Rightarrow \sim p)\) is a (a) contradiction (b) tautology (c) both tautology \& contradiction (d) None of above
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Get started for freeWhich of the following is true ? (a) \(\mathrm{p} \Lambda(\sim \mathrm{p})=\mathrm{t}\) (b) \(p V(\sim p)=f\) (c) \(p \Rightarrow q=q \Rightarrow p\) (d) \(\mathrm{p} \Rightarrow \mathrm{q}=(\sim \mathrm{q}) \Rightarrow(\sim \mathrm{p})\)
If both \(\mathrm{p}\) and \(\mathrm{q}\) are false then (a) \(\mathrm{p} \Lambda \mathrm{q}\) is true (b) \(\mathrm{p} \mathrm{V} \mathrm{q}\) is false (c) \(p \Rightarrow q\) is false (d) \((\sim p) V q\) is false
The logically equivalent proposition of \(\sim q \Rightarrow p\) is (a) \(p \Rightarrow-q\) (b) \(\sim \mathrm{p} \Rightarrow \mathrm{q}\) (c) \(\sim \mathrm{q} \Rightarrow \sim \mathrm{p}\) (d) \(\sim \mathrm{p} \Rightarrow \sim \mathrm{q}\)
If statement \(\mathrm{p}\) and \(\mathrm{r}\) are false and \(\mathrm{q}\) is true then truth value of \(\sim \mathrm{p} \Rightarrow(\mathrm{q} \Lambda \mathrm{r}) \mathrm{V} \mathrm{r}\) is \(\ldots \ldots \ldots\) (a)T (b) \(\mathrm{F}\) (c) \(\mathrm{T}\) or \(\mathrm{F}\) (d) Cannot say
\(\mathrm{p} \Rightarrow \mathrm{q} \mathrm{V} \mathrm{r}\) is false then the true values of \(\mathrm{p}, \mathrm{q}\) and \(\mathrm{r}\) are respectively. (a) \(\mathrm{F}, \mathrm{T}, \mathrm{T}\) (b) \(\mathrm{T}, \mathrm{T}, \mathrm{F}\) (c) \(\mathrm{T}, \mathrm{F}, \mathrm{F}\) (d) \(\mathrm{F}, \mathrm{F}, \mathrm{F}\)
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