GATE CS 2024 Set 2 — Question 12
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Engineering Mathematics → Mathematical Logic → Propositional Logic
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Question
Let and be the following propositions:
: Fail grade can be given.
: Student scores more than 50% marks.Consider the statement: "Fail grade cannot be given when student scores more than 50% marks."Which one of the following is the CORRECT representation of the above statement in propositional logic?
: Fail grade can be given.
: Student scores more than 50% marks.Consider the statement: "Fail grade cannot be given when student scores more than 50% marks."Which one of the following is the CORRECT representation of the above statement in propositional logic?
Correct answer
(A) q arrow ¬ p
Solution
The statement is "Fail grade cannot be given when student scores more than 50% marks."This can be rephrased as an implication: "If a student scores more than 50% marks, then a fail grade cannot be given."
- "Student scores more than 50% marks" corresponds to proposition .
- "Fail grade can be given" corresponds to proposition .
- "Fail grade cannot be given" corresponds to .
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