MHT CET · Maths · Mathematical Reasoning
The entries in the last column of the truth table for \(\sim(\mathrm{p} \wedge \mathrm{q})\) are
- A \(\mathrm{F} \quad \mathrm{F} \quad \mathrm{T} \quad \mathrm{T}\)
- B \(\mathrm{T} \quad \mathrm{F} \quad \mathrm{F} \quad \mathrm{F}\)
- C \(\mathrm{F} \quad \mathrm{T} \quad \mathrm{T} \quad \mathrm{T}\)
- D \(\mathrm{T} \quad \mathrm{T} \quad \mathrm{F} \quad \mathrm{F}\)
Answer & Solution
Correct Answer
(C) \(\mathrm{F} \quad \mathrm{T} \quad \mathrm{T} \quad \mathrm{T}\)
Step-by-step Solution
Detailed explanation
\(\begin{array}{|c|c|c|c|} \hline p & q & p \wedge q & \sim(p \wedge q) \\ \hline T & T & T & F \\ \hline T & F & F & T \\ \hline F & T & F & T \\ \hline F & F & F & T \\ \hline \end{array}\)
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