Question:
All renewable energy plants are environment friendly. Some solar plants are renewable energy plants. No coal plant is environment friendly. Which of the following conclusions necessarily follows?
I. Some solar plants are environment friendly.
II. No coal plant is a renewable energy plant.
III. Some coal plants are solar plants.
Select the most appropriate option:
All renewable energy plants are environment friendly. Some solar plants are renewable energy plants. No coal plant is environment friendly. Which of the following conclusions necessarily follows?
I. Some solar plants are environment friendly.
II. No coal plant is a renewable energy plant.
III. Some coal plants are solar plants.
Select the most appropriate option:
I. Some solar plants are environment friendly.
II. No coal plant is a renewable energy plant.
III. Some coal plants are solar plants.
Select the most appropriate option:
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Use categorical reasoning to track subsets and intersections; only logically certain conclusions are valid.
Updated On: Dec 14, 2025
- I and II follow
- Only III
- II and III follow
- Only V
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The Correct Option is A
Solution and Explanation
Step 1: Analyze statements —
All Renewable ⊆ Environment friendly
Some Solar ⊆ Renewable → Some Solar ⊆ Environment friendly → Conclusion I true
No Coal ⊆ Environment friendly → Coal cannot be Renewable → Conclusion II true
III. Some coal plants are solar → False
Step 2: Conclusion — Only I and II follow.
All Renewable ⊆ Environment friendly
Some Solar ⊆ Renewable → Some Solar ⊆ Environment friendly → Conclusion I true
No Coal ⊆ Environment friendly → Coal cannot be Renewable → Conclusion II true
III. Some coal plants are solar → False
Step 2: Conclusion — Only I and II follow.
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