MAH-CET 2025 — Reasoning PYQ

Analysis of Statements

Statement 1: All apples are fruits.

This means $A$ is a subset of $F$.

Statement 2: Some fruits are sweet.

This means there is an intersection between $F$ and $S$.

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Evaluation of Potential Conclusions

1. "All apples are sweet": Since $S$ intersects with $F$, it is possible that $A$ and $S$ do not touch.

   $$(A\cap S=\varnothing )\text{ is possible.}$$

   $\therefore$ Does not follow.

2. "Some apples are sweet": We know some $F$ are $S$, but we don't know if those specific $F$ are also $A$.

   $$\text{Case 1: }A\cap S=\varnothing$$
   $$\text{Case 2: }A\cap S\ne \varnothing$$

   Because Case 1 is possible, the conclusion is not certain.

   $\therefore$ Does not follow.

3. "Some fruits are apples": Since $A\subseteq F$ and $A$ is not empty, there must be elements in $F$ that are also in $A$.

   $$A\subseteq F⟹\exists x:x\in F\wedge x\in A$$

   $\therefore$ Logically Follows.

Final Result

The conclusion that logically follows is: "Some fruits are apples."