Let $p$ and $q$ stand for the statements "$2 \times 4 = 8$" and "$4$ divides $7$" respectively. Then the truth values of the following biconditional statements are:
$(i)$ $p \leftrightarrow q$
$(ii)$ $\sim p \leftrightarrow q$
$(iii)$ $\sim q \leftrightarrow p$
$(iv)$ $\sim p \leftrightarrow \sim q$

  • A
    $T, T, T, T$
  • B
    $F, T, T, F$
  • C
    $F, T, T, T$
  • D
    $F, F, T, T$

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Statement-$I$: $(p \wedge \sim q) \wedge (\sim p \wedge q)$ is a contradiction.
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If $\sim p \lor q$ is false, then which of the following is correct?

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