Verified Solution • 2025–26 Session moderate

QJEEM20Ma38a4: JEE Main 2020 Mathematics - Class 11 JEEM20Ma38a4 Solution: Given the following two statements: ( S 1 ) : ( q ∨ p ) → ( p…

Given the following two statements:

(S1):(q∨p)→(p↔∼q) is a tautology

(S2):∼q∧(∼p↔q) is a fallacy. Then:

Multiple Choice Options

  • A both (S1) and (S2) are not correct
  • B only (S1) is correct
  • C only (S2) is correct
  • D both (S1) and (S2) are correct

Step-by-Step Verified Solution

Truth table for S1 :

p q ~q q∨p p↔∼q (q∨p)→(p↔∼q)
T T F T F F
T F T T T T
F T F T T T
F F T F F T

∴ S1 is not correct.

Truth table for S2 :

p q ~q ~p ∼p↔q ∼q∧(∼p↔q)
T T F F F F
T F T F T T
F T F T T F
F F T T F F


∴ S2 is also not correct.

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