JEE Main 2019MathematicsMathematical ReasoningEasyMCQ

JEE Main 2019Mathematical Reasoning Question with Solution

JEE Main 2019 (12 Apr Shift 1)

Question

If the truth value of the statement p~qr is false F, then the truth values of the statements p,q,r are respectively

Choose an option

Show full solutionCorrect option: C
Correct answer
CT,T,F

Step-by-step explanation

Recall, pq is false if and only if p is true and q is false

Alternatively,

Truth table of statement p~qr

p q r ~q ~qr p~qr
T T T F T T
T T F F F F
T F T T T T
T F F T T T
F T T F T T
F T F F F T
F F T T T T
F F F T T T

So, the truth values are p: true, q: true, 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.