JEE Main 2020 — Mathematical Reasoning Question with Solution
From: JEE Main 2020 (Online) 3rd September Evening Slot
Question
Let p, q, r be three statements such that the
truth value of
(p q) (q r) is F. Then the truth values of p, q, r are respectively :
(p q) (q r) is F. Then the truth values of p, q, r are respectively :
Choose an option
Show full solutionCorrect option: D
Correct answer
DT, T, F
Step-by-step explanation
Given, (p q) (q r) is false.
This statement is false when
p q = T
and (q r) = F
Now, p q = T when
both p and q are True.
As q = T
q = F
Now, (q r) = F when
r = F as q is already false.
p = T
q = T
r = F
This statement is false when
p q = T
and (q r) = F
Now, p q = T when
both p and q are True.
As q = T
q = F
Now, (q r) = F when
r = F as q is already false.
p = T
q = T
r = F
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This is a previous-year question from JEE Main 2020, 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.