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?

Given the propositions:

• $p$: Fail grade can be given.

• $q$: Student scores more than 50% marks.

The given statement is: *"Fail grade cannot be given when student scores more than 50% marks."*

This is a conditional statement of the form *"$B$ when $A$"* (or *"if $A$, then $B$"*), where:

• Antecedent (condition, $A$): "student scores more than 50% marks", which corresponds to $q$.

• Consequent (result, $B$): "Fail grade cannot be given", which is the negation of $p$, i.e., $

eg p$.

Hence, the statement translates to: $$q \rightarrow eg p$$

Therefore, option A is correct.