Question

All renewable energy sources reduce carbon emissions. Some renewable energy sources are expensive to install. Solar energy is a renewable energy resource.
Consider the following conclusions:
I. Solar energy reduces carbon emissions.
II. All expensive energy sources are renewable.
III. Some renewable energy resources are not expensive.
Select the most appropriate option:

• A. Only I follows.
• B. Both I and III follow.
• C. Only III follows.
• D. Both II and III follow.

Hint:

For logical reasoning with categories, carefully distinguish \emphall, \emphsome, and \emphnone. Use elimination to test which conclusions necessarily follow.

Answer 1

The Correct Option is B

Step 1: Understanding statements —
All renewable energy → reduces carbon emissions.
Some renewable energy sources → expensive → implies some are not expensive.
Solar is renewable → reduces carbon emissions.
Step 2: Evaluating conclusions —
I. Solar energy reduces carbon emissions → True.
II. All expensive energy sources are renewable → Not necessarily true; some expensive sources may not be renewable.
III. Some renewable energy resources are not expensive → True (from “some are expensive”).
Step 3: Conclusion — Both I and III follow, so option (b) is correct.