MAH-CET 2025 — Reasoning PYQ

Logical Analysis of Option (C)

Let:

• $M=\text{Set of Men}$

• $F=\text{Set of Fathers}$

• $A=\text{Set of Athletes}$

Set Intersections

In this group, the categories are not mutually exclusive. An individual can belong to one, two, or all three sets simultaneously:

1. Logical Relationships:

   • All Fathers are Men: $F\subset M$ (This creates an overlap where $F$ is inside $M$).

   • Some Men are Athletes: $M\cap A\ne \varnothing$.

   • Some Fathers are Athletes: $F\cap A\ne \varnothing$.

2. Triple Overlap:

   There exists an individual who is a Man, a Father, and an Athlete:

   $$M\cap F\cap A\ne \varnothing$$

   The correct answer is (c) Men, Fathers, Athletes.