Verified Solution • 2025–26 Session moderate

QJEEM21Ma3c03: JEE Main 2021 Mathematics - Class 11 JEEM21Ma3c03 Solution: Which of the following Boolean expression is a tautology?

Which of the following Boolean expression is a tautology?

Multiple Choice Options

A (p $\wedge$ q) $\vee$ (p $\to$ q)
B (p $\wedge$ q) $\vee$ (p $\vee$ q)
C (p $\wedge$ q) $\to$ (p $\to$ q)
D (p $\wedge$ q) $\wedge$ (p $\to$ q)

Step-by-Step Verified Solution

\begin{matrix} p & q & p \land q & p \lor q & p \to q & (p \land q) \to (p \to q) \\ T & T & T & T & T & T \\ F & T & F & T & T & T \\ T & F & F & T & F & T \\ F & F & F & F & T & T \end{matrix}

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