JEE Main 2019MathematicsMathematical ReasoningEasyMCQ

JEE Main 2019 — Mathematical Reasoning Question with Solution

JEE Main 2019 (09 Apr Shift 2)

Question

If p⇒q∨r is False, then the truth values of p, q, r are respectively, (where T is True and F is False)

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Show full solutionCorrect option: A
Correct answer
AT, F, F

Step-by-step explanation

We know that the conditional statement a⇒b is False only when a is False and b is True.

Hence, p⇒(q∨r): False when p:True;  q∨r : False

Again, we know that a∨b is False when both a & b are false.

Hence, p:True; q:False; r: False.

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About this question

This is a previous-year question from JEE Main 2019, 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.