Statements: No plastic is biodegradable. Some bags are plastic. Conclusions: I. Some bags are not biodegradable. II. All plastics are bags.
Correct answer: C. Only I
- A. Both I and II
- B. Only II
- C. Only I
- D. Neither I nor II
Explanation
The correct choice is Only I. The statement 'No plastic is biodegradable' universally applies to all plastics. Since 'Some bags are plastic,' those particular bags that are plastic cannot be biodegradable, making conclusion I valid. Conclusion II is incorrect because the statement 'Some bags are plastic' does not imply that all plastics are bags; it only indicates a partial relationship. Therefore, only conclusion I correctly follows the logical structure of the given statements.
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About Logical Deductions
Logical deductions require conclusions to be drawn from stated facts, conditions and relationships without adding outside information. The work includes handling all, some and none statements, necessary and sufficient conditions, ordering restrictions, true or false conclusions, and the difference between what must be true and what could be true.
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