Question
(p & ~ q) & (p $\rightarrow$ q)
| 1 | 2 | 3 | 4 | 5 | 6 | |
| p | q | ~ q | p & ~ q | p $\rightarrow$ q | (p & ~ q) & (p $\rightarrow$ q) | |
| 1 | T | T | F | F | T | F |
| 2 | T | F | T | T | F | F |
| 3 | F | T | F | F | T | F |
| 4 | F | F | T | F | T | F |
| 2 (~) | 1, 3 (&) | 1, 2($\rightarrow$) | 4, 5(&) | |||
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
| $(A\ v\ B)\ \rightarrow\ [D\ \rightarrow\ (P\ \&\ \sim\ Q)]$ |
| $(A\ \&\ J)\ \rightarrow [(P\ \&\ \sim\ Q)\ \rightarrow\ K]$ |
| $(A\ \&\ J)\ \&\ (\sim\ K\ v\ D)$ |
| $\therefore\ (D \rightarrow\ K)\ v\ \sim\ Q$ |
| $(P\ \&\ Q) \rightarrow [(P \rightarrow R)\ \&\ S]$ |
| $(P\ \&\ Q)\ \&\ T$ |
| $R\ v\ W$ |
| $\sim\ L\ \rightarrow\ \sim\ N$ |
| $(A\ v\ B)\ \rightarrow\ Q$ |
| $Q\ \rightarrow\ [(S\ \&\ T) \rightarrow\ P]$ |
| $(S\ \&\ T)\ v\ \sim\ L$ |
| $A\ v\ B$ |
| $\therefore\ (P\ v\ \sim\ N)\ \&\ Q$ |
| $K\rightarrow\ (W\ \rightarrow\ X)$ |
| $( \sim\ Q\ \&\ \sim\ K)\ \rightarrow\ (\sim\ Y\ v\ \sim\ M)$ |
| $(\sim\ Y\ \rightarrow\ \sim\ Z)\ \&\ (\sim\ M\ \rightarrow\ \sim\ P)$ |
| $(W\ \rightarrow\ X)$ |
| $\therefore \sim\ Z\ v\ \sim\ p$ |
| $(R\ S) \rightarrow (F\ E)$ |
| $\sim (R\ S) \rightarrow J$ |
| $(F\ E) \rightarrow \sim H$ |
| $\sim\ \sim H$ |
| $\therefore \sim (J\ v\ G) \& \sim\ \sim H$ |
| $(K\ \rightarrow\ L)\ \&\ 0$ |
| $\sim\ A\ \rightarrow\ (B\ \rightarrow\ C)$ |
| $A\ v\ (B\ v\ K)$ |
| $\sim\ A$ |
| $C\ v\ L$ |