Question
$(P\ v\ Q)\ \&\ \sim\ (P\ v\ Q)$
| Column $\rightarrow$ | $1$ | $2$ | $3$ | $4$ | $5$ |
| Row $\downarrow$ | $P$ | $Q$ | $P v Q$ | $\sim (P\ v\ Q)$ | $(P\ v\ Q)\ \&\ \sim\ (P\ v\ Q)$ |
| $1$ | $T$ | $T$ | $T$ | $F$ | $F$ |
| $2$ | $T$ | $F$ | $T$ | $F$ | $F$ |
| $3$ | $F$ | $T$ | $T$ | $F$ | $F$ |
| $4$ | $F$ | $F$ | $F$ | $T$ | $F$ |
| $1, 2 (v)$ | $3(\sim )$ | 3, 4 (&) | |||
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
| $(X \rightarrow Y)\ v\ D$ |
| $A \rightarrow [(X \rightarrow Y) \rightarrow R]$ |
| $D \rightarrow E$ |
| $(E\ v\ F) \rightarrow A$ |
| $E\ v\ F$ |
| $\therefore (R\ v\ E)\ \&\ A$ |
| $A \rightarrow B$ |
| $(A\ \&\ B) \rightarrow C$ |
| $A$ |
| $\therefore (A\ \&\ B)\ \&\ (A\ \&\ C)$ |
| $N \ \&\ M$ |
| $\sim S\ (T \ \&\ W)$ |
| $(P \ \&\ R)\ v\ \sim S$ |
| $(N \ \&\ M) \rightarrow \sim (T \ \&\ W)$ |
| $(R \ \&\ N)\ v\ S$ |
| $(A\ v\ B)\ \rightarrow [D\ \rightarrow\ (P\ \&\ \sim \ Q)]$ |
| $(A\ \&\ J) \rightarrow [(P\ \&\ \sim\ Q)\ \rightarrow\ K]$ |
| $(A\ \&\ J)\ \&\ (\sim\ K\ v\ D)$ |
| $\therefore (D\rightarrow K)\ v\ \sim\ Q$ |