Verified Solution • 2025–26 Session moderate

QJEEM18Ma40fa: JEE Main 2018 Mathematics - Class 11 JEEM18Ma40fa Solution: If (p ∧ ∼ q) ∧ (p ∧ r) → ∼ p ∨ q is false, then the truth…

If (p ∧ ∼ q) ∧ (p ∧ r) → ∼ p ∨ q is false, then the truth values of p,q and r are, respectively :

Multiple Choice Options

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

Step-by-Step Verified Solution

JEE Main 2018 (Online) 15th April Morning Slot Mathematics - Mathematical Reasoning Question 110 English Explanation
From the truth table you can see (p ∧ ~q) ∧ (p ∧ r) → ~p ∨ q is false only when values of (p, q, r) is (T, F, T).

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