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JEE Main20204 Sep 2020Morning ShiftMathematicsMathematical ReasoningActual

Given the following two statements: S 1 : q ∨ p → p ↔ ~ q is a tautology S 2 : ~ q ∧ ~ p ↔ q is a fallacy. Then :

Options

  1. Aboth S 1 and S 2 are not correct.
  2. Bonly S 1 is correct.
  3. Conly S 2 is correct.
  4. Dboth S 1 and S 2 are correct.

Correct answer

A. both S 1 and S 2 are not correct.

Step-by-step solution

p q ~ p ~ q q ∨ p p ↔ ~ q S 1 : q ∨ p → p ↔ ~ q ~ p ↔ q S 2 : ~ q ∧ ~ p ↔ q T T F F T F F F F T F F T T T T T T F T T F T T T T F F F T T F F T F F So both S 1 and S 2 are not correct.

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