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GATE 2006
April 6, 2025
GATE 2006
April 6, 2025
GATE 2006
April 6, 2025
GATE 2006
April 6, 2025

GATE 2006

Question 27

Consider the following propositional statements:

    P1 : ((A ∧ B) → C)) ≡ ((A → C) ∧ (B → C))
    P2 : ((A ∨ B) → C)) ≡ ((A → C) ∨ (B → C))

Which one of the following is true?

A
P1 is a tautology, but not P2
B
P2 is a tautology, but not P1
C
P1 and P2 are both tautologies
D
Both P1 and P2 are not tautologies
Question 27 Explanation: 
It’s better to draw truth table such that

Both P1 and P2 are not Tautologies.
Correct Answer: D
Question 27 Explanation: 
It’s better to draw truth table such that

Both P1 and P2 are not Tautologies.

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