Which of the following is the inverse of the proposition: "If a number is a prime then it is odd."
- AIf a number is not a prime then it is odd.
- BIf a number is not a prime then it is not odd.
- CIf a number is not odd then it is not a prime.
- DIf a number is not odd then it is a prime.
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Similar Questions
The negation of $p \wedge (q \rightarrow r)$ is
The statement $p \rightarrow \sim q$ is false,if
Among the two statements:
$(S1): (p \Rightarrow q) \wedge (q \wedge (\sim q))$ is a contradiction and
$(S2): (p \wedge q) \vee ((\sim p) \wedge q) \vee (p \wedge (\sim q)) \vee ((\sim p) \wedge (\sim q))$ is a tautology.
$(S1): (p \Rightarrow q) \wedge (q \wedge (\sim q))$ is a contradiction and
$(S2): (p \wedge q) \vee ((\sim p) \wedge q) \vee (p \wedge (\sim q)) \vee ((\sim p) \wedge (\sim q))$ is a tautology.
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.
DifficultMHT CET 2026
View SolutionWrite the component statements of the following compound statement and check whether the compound statement is true or false.
$A$ line is straight and extends indefinitely in both directions.
$A$ line is straight and extends indefinitely in both directions.
Easy
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