Verified Solution • 2025–26 Session moderate

QJEEM20Mae99d: JEE Main 2020 Mathematics - Class 11 JEEM20Mae99d Solution: Let p, q, r be three statements such that the truth value of (p …

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 :

Multiple Choice Options

  • A T, F, T
  • B F, T, F
  • C T, T, T
  • D T, T, F

Step-by-Step Verified Solution

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

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