Which of the following is $NOT$ equivalent to $p \rightarrow q$?

  • A
    $p$ only if $q$
  • B
    $q$ is necessary for $p$
  • C
    $q$ only if $p$
  • D
    $p$ is sufficient for $q$

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Similar Questions

If the truth value of the statement pattern $( \sim p \land q) \lor ( \sim p \land \sim q) \lor (p \land \sim q)$ is $F$, then the truth values of $(p \lor \sim q)$ and $(p \to q)$ are ... respectively.

If $\sim p \to q$ is false and $q \leftrightarrow r$ is false, then the truth value of $(p, q, r)$ is...

$ \sim[(\sim p) \wedge q] $ is logically equivalent to

If statements $p$ and $q$ are true and $r$ and $s$ are false,then the truth values of $\sim(p \rightarrow q) \leftrightarrow (p \wedge s)$ and $(\sim p \rightarrow q) \wedge (r \leftrightarrow s)$ are respectively:

Let $p$ be the statement '$x$ is an irrational number',$q$ be the statement '$y$ is a transcendental number',and $r$ be the statement '$x$ is a rational number or $y$ is a transcendental number'.
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Statement-$2$: $r$ is equivalent to $(p \Leftrightarrow \sim q)$.

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