Which of the following is the inverse of the proposition : “If a number is a prime then it is odd.”

  • A

    If a number is not a prime then it is odd

  • B

    If a number is not a prime then it is not odd

  • C

    If a number is not odd then it is not a prime

  • D

    If a number is not odd then it is a prime

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Which of the following is true

The Boolean expression $(\mathrm{p} \wedge \mathrm{q}) \Rightarrow((\mathrm{r} \wedge \mathrm{q}) \wedge \mathrm{p})$ is equivalent to :

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$(p\; \wedge \sim q) \wedge (\sim p \wedge q)$ is

The negation of the statement $(p \vee q)^{\wedge}(q \vee(\sim r))$ is

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Which Venn diagram represent the truth of the statement“All students are hard working.”

Where $U$ = Universal set of human being, $S$ = Set of all students, $H$ = Set of all hard workers.