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Question: Answered & Verified by Expert
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
MathematicsMathematical ReasoningMHT CETMHT CET 2020 (20 Oct Shift 1)
Options:
  • 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.
Solution:
2477 Upvotes Verified Answer
The correct answer is: Seema is not fat or she is happy.
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"

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