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let x and y be two propositions which of the follo
Question:
Let x and y be two propositions. Which of the following statements is a tautology /are tautologies ?
GATE DA - 2024
GATE DA
Updated On:
Jan 30, 2026
(¬x ∧ y) ⇒ (y ⇒ x)
(x ∧ ¬y) ⇒ (¬x ⇒ y)
(¬x ∧ y) ⇒ (¬x ⇒ y)
(x ∧ ¬y) ⇒ (y ⇒ x)
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The Correct Option is
B,
C,
D
Solution and Explanation
The correct option is (B) : (x ∧ ¬y) ⇒ (¬x ⇒ y), (C) : (¬x ∧ y) ⇒ (¬x ⇒ y) and (D) : (x ∧ ¬y) ⇒ (y ⇒ x).
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