Take the statements below to be true, even if they differ from known facts. Which of the conclusions follow logically from them?
Statements:
1. No kite is a glider.
2. No glider is a rocket.
Conclusions:
I. Some kites are rockets.
II. No kite is a rocket.
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → Either conclusion I or conclusion II follows
When two conclusions do not follow on their own, but in every diagram exactly one of them is true (such as “some X are Y” and “no X is Y”), the answer is “either one or the other follows”.
“No kite is a glider”: the circles of kites and gliders do not touch
“No glider is a rocket”: the circles of gliders and rockets do not touch; nothing is said about kites and rockets, so they may meet or may not
Conclusion I: Some kites are rockets. — Does not follow on its own. In case 2 the kites and rockets do not meet, so it is false there.
Conclusion II: No kite is a rocket. — Does not follow on its own. In case 1 some kites are rockets, so it is false there.
Kites and rockets either meet or they do not; there is no third case. So in every diagram exactly one of I and II is true: either conclusion I or conclusion II follows.