Question 1
Given Conclusion:
Some cats are dogs
Which set of statements can definitely lead to this conclusion?
A. All cats are animals; Some animals are dogs
B. All birds are animals; Some unrelated are dogs
C. No cats is a dogs; All cats are animals
D. Insufficient information
Reverse Syllogism Analysis:
Working backwards from conclusion to verify which premises support it.
Given Conclusion: Some cats are dogs
Testing Option A: All cats are animals; Some animals are dogs
Applying syllogism rules:
Statement 1: All cats are animals
Statement 2: Some animals are dogs
Combining these gives: Some cats are dogs ✓
Why Other Options Fail:
B. Random statements: No logical connection to conclusion
C. Opposite relationships: Would give contradictory conclusion
D. Insufficient: We CAN determine with proper analysis
Answer: A. All cats are animals; Some animals are dogs
Working backwards from conclusion to verify which premises support it.
Given Conclusion: Some cats are dogs
Testing Option A: All cats are animals; Some animals are dogs
Applying syllogism rules:
Statement 1: All cats are animals
Statement 2: Some animals are dogs
Combining these gives: Some cats are dogs ✓
Why Other Options Fail:
B. Random statements: No logical connection to conclusion
C. Opposite relationships: Would give contradictory conclusion
D. Insufficient: We CAN determine with proper analysis
Answer: A. All cats are animals; Some animals are dogs