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GATE 2020 : Discrete Maths Quiz 1 (App update required to attempt this test)
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Question 1
Consider the following logical inferences
(A) “If you have a current password, then you can log onto the network.”
“You have a current password.”
Inference: “You can log onto the network.”
(B) “If Sita to go school then Ram will go to school.”
“Sita doesn’t go to school”.
Inference: “Ram doesn’t go to school”
Which of the following is TRUE?
(A) “If you have a current password, then you can log onto the network.”
“You have a current password.”
Inference: “You can log onto the network.”
(B) “If Sita to go school then Ram will go to school.”
“Sita doesn’t go to school”.
Inference: “Ram doesn’t go to school”
Which of the following is TRUE?
Question 2
Consider the following Propositional logic statements.
Find the number of statement that are contingency ___________.
Question 3
Consider of the following propositional statements?
Which of them are not valid?
Which of them are not valid?
Question 4
Consider the following predicate calculus statements. The valid statement is?
Question 5
If p: A man is happy
q: A man is rich
Then the statement “If a man is not happy, then he is not rich” is written as
q: A man is rich
Then the statement “If a man is not happy, then he is not rich” is written as
Question 6
Consider the following expressions:
(i) false
(ii) Q
(iii) true
(iv) P ∨ Q
(v) ¬Q ∨ P
The number of expressions given above that are logically implied by is_____.
(i) false
(ii) Q
(iii) true
(iv) P ∨ Q
(v) ¬Q ∨ P
The number of expressions given above that are logically implied by is_____.
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