GATE CSE 2024 Session 2 Q12: Translate 'fail grade cannot be given when…' into logic

Let $p$ and $q$ be the following propositions:

$p$ : Fail grade can be given.

$q$ : 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?

Try it: multiple choice: exactly one correct option

Wrong answer costs 1/3 mark in GATE.

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Answer: A (official GATE 2024 final answer key)

Concept used: "B when A" means "if A then B".

First step: The condition is scoring above 50% ( $q$ ); the consequence is that a fail grade cannot be given ( $\neg p$ ).

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Source: official GATE 2024 Session 2 CS question paper and final answer key, organised by IISc Bangalore. Question paper · Answer key