MHT CET · Maths · Mathematical Reasoning
The symbolic form of the following circuit is
(where \(\mathrm{p}, \mathrm{q}\) and \(\mathrm{r}\) represents switches \(\mathrm{s}_{1}, \mathrm{~s}_{2}\) and \(\mathrm{s}_{3}\) which are closed respectively)
- A \((p \vee q) \wedge[\sim p \vee(\sim q \wedge p \wedge r)] \equiv \ell\)
- B \([(p \vee q) \wedge \sim p] \vee[\sim p \vee q \vee r)] \equiv \ell\)
- C \((p \wedge q) \vee[\sim p \wedge(\sim q \vee p \vee r)] \equiv \ell\)
- D \((p \wedge q) \vee \sim p \vee[\sim p \vee p \vee r] \equiv \ell\)
Answer & Solution
Correct Answer
(C) \((p \wedge q) \vee[\sim p \wedge(\sim q \vee p \vee r)] \equiv \ell\)
Step-by-step Solution
Detailed explanation
The symbolic form of given circuit is
\((\mathrm{p} \wedge \mathrm{q}) \vee[\sim \mathrm{p} \wedge(\sim \mathrm{q} \vee \mathrm{p} \vee \mathrm{r})]=\ell\)
\((\mathrm{p} \wedge \mathrm{q}) \vee[\sim \mathrm{p} \wedge(\sim \mathrm{q} \vee \mathrm{p} \vee \mathrm{r})]=\ell\)
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