Statements: No shoe is a glove. All gloves are caps. All caps are jackets.
Conclusions:
I. At least some shoes are caps.
II. All gloves are jackets.
Which of the conclusions follow from the given statements?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → Only II follows
A conclusion follows only if it is true in every diagram that fits the statements.
“All gloves are caps” and “All caps are jackets”: the gloves circle lies inside the caps circle, which lies inside the jackets circle
“No shoe is a glove”: the shoes circle stays away from the gloves circle; nothing is said about shoes and caps
Conclusion I (At least some shoes are caps) does not follow: the shoes circle can be drawn outside the caps circle, as in the picture, and that diagram still fits all three statements.
Conclusion II (All gloves are jackets) follows: every glove is a cap and every cap is a jacket, so every glove is a jacket (the green circle lies inside the jackets circle).