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GATE CS 2022 : Discrete Math -1

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Question 1

(∃! x) P(x) is equivalent to ______.

Question 2

Consider the following propositional logic.

Which of the following is logically equivalent to the given statement?

Question 3

Consider the following statements :

S1: ∀x ∃y ∀z [ x+ y = z]

S2: ∃x ∀y ∃z [x + y = z]

where x, y, z are real numbers. Which of the following is correct ?

Question 4

Identify the contrapositive for the following statement. “If a real number is greater than 3, then its square is greater than 9.”

Question 5

Which one of the following Boolean expressions is NOT a tautology?

Question 6

The predicate statement

is _______

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