MAH-CET 2026 — Reasoning PYQ

Step 1: Understand the Rules of Assumptions

In logical reasoning, an assumption is an unstated premise or an underlying belief that must be true for the given statement to hold valid. It acts as the bridge leading directly to the statement.

Let us convert the given statement into conditional logical terms:

• If a student is a "good student" ($G$), then they "study daily" ($S$).

• In formal mathematical logic, this universal affirmative statement is represented as:

  $$G⟹S$$

Step 2: Apply the Contrapositive Rule

According to the principles of formal deductive logic, an implication $G⟹S$ is unconditionally equivalent to its contrapositive form:

$$\neg S⟹\neg G$$

• In plain English: "If a student does not study daily ($\neg S$), then they are not a good student ($\neg G$)."

• This means that studying daily is a strictly mandatory condition for being categorized under the label of a "good student." Without it, the student cannot be considered good.

Analysis of Options

• (a) Students who don't study aren't good: Valid. This is the exact logical contrapositive ($\neg S⟹\neg G$) of our statement. For the statement "All good students study daily" to exist as a true fact, anyone who does not fulfill the condition of studying cannot be a member of the "good student" set.

• (b) Studying makes students good: Invalid. The statement establishes a characteristic of good students, not a cause-and-effect rule showing that the act of studying transforms a student into a good one.

• (c) Some students study daily: Invalid. While this might be a real-world possibility, it does not function as an implicit foundational assumption required to support the absolute rule stated.

• (d) Good students never fail: Invalid. "Failing" introduces an entirely external concept not parameterised anywhere within the initial premise.

Correct Answer

The correct option is (a) Students who don't study aren't good.