Take the statements below to be true, even if they differ from known facts. Which of the conclusions follow logically from them?
Statements:
1. All bakers are drivers.
2. All bakers are singers.
3. No singer is a dancer.
Conclusions:
I. Some drivers are not dancers.
II. Some drivers are singers.
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → Both conclusions I and II follow
A conclusion follows only if it is true in every diagram that fits the statements; each class named in a statement is taken to have members.
“All bakers are drivers”: the circle of bakers lies inside the circle of drivers
“All bakers are singers”: the circle of bakers also lies inside the circle of singers
“No singer is a dancer”: the circles of singers and dancers do not touch
Conclusion I: Some drivers are not dancers. — Follows. The bakers are drivers; they are also singers, and no singer is a dancer; so these drivers are not dancers.
Conclusion II: Some drivers are singers. — Follows. The bakers are drivers and also singers, so at least the bakers are drivers who are singers.