MHT CET · Maths · Mathematical Reasoning
If \(\mathrm{p}:\) Seema is fat. \(\mathrm{q}:\) She is happy, then the logical equivalent statement of 'If Seema is fat, then she is happy' is
- A Seema is not fat or she is unhappy.
- B Seema is not fat or she is happy.
- C Seema is fat and she is happy.
- D Seema is fat or she is happy.
Answer & Solution
Correct Answer
(B) Seema is not fat or she is happy.
Step-by-step Solution
Detailed explanation
Logical equivalence of given statement is \(\mathrm{p} \rightarrow \mathrm{q}\)
We know that \(p \rightarrow q \equiv \sim p \vee q\)
\(\therefore\) Required equivalent statement is "Seema is not fat or she is happy"
We know that \(p \rightarrow q \equiv \sim p \vee q\)
\(\therefore\) Required equivalent statement is "Seema is not fat or she is happy"
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