JEE Main 2023MathematicsMathematical ReasoningEasyMCQ

JEE Main 2023 — Mathematical Reasoning Question with Solution

JEE Main 2023 (06 Apr Shift 1)

Question

Statement (P⇒Q)∧(R⇒Q) is logically equivalent to

Choose an option

Show full solutionCorrect option: D
Correct answer
DP∨R⇒Q

Step-by-step explanation

Given that (P⇒Q)∧(R⇒Q)

We know that P⇒Q≡~P∨Q

⇒~P∨Q∧~R∨Q

⇒~P∧~R∨Q

⇒~P∨R∨Q

⇒P∨R⇒Q

Hence this is the correct option.

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About this question

This is a previous-year question from JEE Main 2023, covering the Mathematical Reasoning chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.