Let a, b, c, d be propositions. Assume that the equivalences a ↔ (b ∨ ¬b) and…

2003

Let a, b, c, d be propositions. Assume that the equivalences a ↔ (b ∨ ¬b) and b ↔ c hold. Then the truth value of the formula (a ∧ b) → (a ∧ c) ∨ d is always

  1. A.

    True

  2. B.

    False

  3. C.

    Same as the truth value of b

  4. D.

    Same as the truth value of d

Attempted by 12 students.

Show answer & explanation

Correct answer: A

image.png

A video solution is available for this question — log in and enroll to watch it.

Explore the full course: Gate Guidance By Sanchit Sir