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GATE CS 2021: Discrete Mathematics Quiz -1
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Question 1
Consider the following two statements.
S1: If a candidate is known to be corrupt, then he will not be elected
S2: If a candidate is kind, he will be elected
Which one of the following statements follows from S1 and S2 as per sound inference rules of logic ?
S1: If a candidate is known to be corrupt, then he will not be elected
S2: If a candidate is kind, he will be elected
Which one of the following statements follows from S1 and S2 as per sound inference rules of logic ?
Question 2
(∃! x) P(x) is equivalent to ______.
Question 3
Consider the following predicate calculus statements. The valid statement is?
Question 4
Consider the following Logical inferences.
A: “If Priya attends the machine learning lecture then Rahul also attends the machine learning lecture.”
“Priya do not attend the machine learning lecture”
Inference:“Rahul also do not attend the machine learning lecture”.
B: “It is freezing now.
It is raining now."
Inference: “It is either below freezing or raining now.”
Which of the following is TRUE?
Question 5
Which one of the following is the most appropriate logical formula to represent the statement:
“Gold and silver ornaments are precious”
The following notations are used:
G(x): x is a gold ornament.
S(x):x is a silver ornament.
P(x): x is precious.
“Gold and silver ornaments are precious”
The following notations are used:
G(x): x is a gold ornament.
S(x):x is a silver ornament.
P(x): x is precious.
Question 6
Which one of the following options is CORRECT given three positive integers x, y and Z, and a predicate
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Mar 26GATE & PSU CS
