NIMCET 2025 — Reasoning PYQ

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Question

NIMCET 2025 — Reasoning PYQ

NIMCET | Reasoning | 2025

Statements:

I. All cakes are ice cream

II. No ice cream is chocolate

Conclusions:

I. Some cakes are chocolate

II. No cake is chocolate

Choose the correct answer:

Explanation

1. Logical Representation:

Let $C$ = Cakes, $I$ = Ice cream, $H$ = Chocolate.
Statement I: $C \subseteq I$
Statement II: $I \cap H = \emptyset$

2. Deduction:

Since all Cakes are inside the Ice cream circle ( $C \subseteq I$ ):
And since no part of the Ice cream circle can touch Chocolate ( $I \cap H = \emptyset$ ):
It logically follows that no part of the Cake circle can touch Chocolate.
$\therefore C \cap H = \emptyset$

3. Conclusion Evaluation:

Conclusion I: "Some cakes are chocolate" is False.
Conclusion II: "No cake is chocolate" is True.

Correct Answer: Option D