Class 11

Mathematical Reasoning question bank (Maths)

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Q1.

Which of the following logical equivalences is true?

(A)

$p$ $\Rightarrow q \equiv \sim p$ $\Rightarrow \sim q$

(B)

$\sim (p \Rightarrow \sim q) \equiv \sim p \wedge q$

(C)

$\sim (\sim p \Rightarrow \sim q) \equiv \sim p \wedge q$

(D)

$\sim (p \Leftrightarrow q) \equiv [\sim (p$ $\Rightarrow q) \wedge \sim (q$ $\Rightarrow p)]$

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Q2.

The statement $p$ $\rightarrow (q$ $\rightarrow p)$ is equivalent to which of the following?

(A)

$p$ $\rightarrow (p$ $\rightarrow q)$

(B)

$p \rightarrow (p \vee q)$

(C)

$p \rightarrow (p \wedge q)$

(D)

$p \rightarrow (p \Leftrightarrow q)$

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