Correct option is C
Option (c) is correct.
In the sentence "Sincere students like you and he should study regularly to pass the examination," the interpretation that "like" is being used in a more conjunctive and formal sense allows for the use of "he" instead of "him."
This usage treats "you and he" as a compound subject of the verb "should study," which aligns with the formal grammatical structure.
Additional Clarification:
· Example of "like" as a conjunction-like comparator: "He sings like she does." Here, "like" is used to compare actions, and both "he" and "she" function as subjects in their respective clauses.
· Example of "like" as a preposition: "He sings like her." In this case, "like" introduces a comparison with the object pronoun "her."