JEE Main · 2021 · 16 Mar 2021 · Shift 1 · Mathematical Reasoning *

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Which of the following Boolean expression is a tautology?
  1. (A)✓ Correct
  2. (B)
  3. (C)
  4. (D)

Answer: (A)

Solution

A conditional is true whenever its antecedent is false, so is true whenever is false; and when is true, both and are true, so is true and the conditional is true again. It is therefore true for every assignment of truth values.
Of the others, is false at true and false, while and are both false at false and false.
The tautology is .

JEE Main · 2021 · 16 Mar 2021 · Shift 1 · Single correct option

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