MAH-CET 2026 — Reasoning PYQ

Let us evaluate the logical connections between the terms step-by-step using standard set theory and syllogism rules:

Step 1: Analyze Premise 1 and Premise 2

• Premise 1: "All A are B" means set $A$ is a subset of set $B$ ($A\subseteq B$).

• Premise 2: "No B are C" means sets $B$ and $C$ are completely disjoint ($B\cap C=\varnothing$).

Since $A$ lies entirely inside $B$, and $B$ has no overlap with $C$, it logically follows that $A$ can have absolutely no overlap with $C$.

$$\text{Deduction 1: No A are C }(A\cap C=\varnothing )$$

Step 2: Analyze the link with Premise 3

• Premise 3: "Some C are D" means there is an overlap between set $C$ and set $D$ ($C\cap D\ne \varnothing$).

Now, let us test the relationships between $D$ and the other sets ($A$ and $B$):

• We know that the portion of $D$ that overlaps with $C$ cannot belong to $B$ (and consequently cannot belong to $A$), because "No B are C". This gives us a definite negative conclusion: "Some D are not B" and "Some D are not A".

• However, the remaining portion of set $D$ is completely free. It could extend to overlap with $A$ and $B$, or it could remain entirely separate from them.

Evaluating the Given Options

• (a) Some A are D: This is a possible scenario, but it is not definitely true in all possible cases. Hence, it cannot be drawn as a valid conclusion.

• (b) No A are D: This is also only possible but not guaranteed. If set $D$ expands to include some elements of $A$ without touching $C$'s boundary conditions, this statement would fail.

• (c) Some B are D: Just like option (a), there is no mandatory condition forcing set $B$ and set $D$ to intersect.

Since none of the specific affirmative or negative definite choices (a), (b), or (c) hold true across every single valid Venn diagram configuration, no definitive relation can be established between those terms.

Correct Answer

The correct option is (d) No conclusion.