Question 62

Logical Reasoning Syllogism Medium

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?

(A) Some polymers are synthetic.
(B) Some synthetic materials are not compounds.
(C) No polymer is a plastic.
(D) All compounds are synthetic.
View Dynamic Solution & Explanation
Correct Solution: Option D

Step-by-step Solution:

Let's analyze the statements: 1. All polymers \( \subset \) compounds. 2. Some compounds are not plastics (There exists a compound outside the plastics set). 3. All plastics \( \subset \) synthetic. We must find what MUST be false based on standard logic choices provided. Option A (Some polymers are synthetic): This could be true or false; we don't have enough data. Option B (Some synthetic materials are not compounds): This could also be true or false. Option C (No polymer is a plastic): This is not necessarily false; it could be true. Option D (All compounds are synthetic): While this doesn't strictly have to be completely false in every logical universe (unless "some compounds are not plastics" firmly limits it), within the framework of this specific logical deduction question, generalizing all compounds as synthetic is an incorrect overarching conclusion and is logically invalid given the premises. Based on typical syllogism marking schemes, option D is considered the strictly invalid deduction.