NIMCET 2026 — Reasoning PYQ

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Question

NIMCET 2026 — Reasoning PYQ

NIMCET | Reasoning | 2026

Statement 1: All polymers are compounds. Statement 2: Some compounds are not plastics. Statement 3: All plastics are synthetic.

Which of the following must be false?

Choose the correct answer:

Explanation

To solve this, let us represent the categories using set theory and logic. Let:

$P$ = Polymers
$C$ = Compounds
$P l$ = Plastics
$S$ = Synthetic materials

Step 1: Translate the statements into logical notation:

Statement 1: All polymers are compounds $\to P \subseteq C$
Statement 2: Some compounds are not plastics $\to \exists x \in C ∣ x \in / P l$
Statement 3: All plastics are synthetic $\to P l \subseteq S$

Step 2: Analyze the options based on the statements:

We are looking for the statement that must be false (contradicts the premises or the logical deduction from the premises).

Option 1 (Some polymers are synthetic): This is possible (some $P$ could be $S$ ), so it does not have to be false.
Option 2 (Some synthetic materials are not compounds): This is possible, so it does not have to be false.
Option 3 (No polymer is a plastic): This is possible, so it does not have to be false.
Option 4 (All compounds are synthetic):
Based on the given statements, we know that $P l \subseteq S$ (all plastics are synthetic) and we know that there are some compounds that are not plastics. We do not have sufficient information to conclude that all compounds are synthetic. In the context of this logical reasoning test, claiming that "All compounds are synthetic" ( $C \subseteq S$ ) is a sweeping generalization that cannot be supported by the premises, and is identified as the statement that must be false.

Conclusion:

Based on the premises provided, Option 4: All compounds are synthetic is the statement that must be false, as it makes an unsupported universal claim about compounds.