Syllogisms · Question 12 · Hard
Syllogisms question 12
Statements:
Some doctors are singers.
All singers are dancers.
No dancer is a painter.
Conclusions:
I. Some doctors are not painters.
II. No singer is a painter.
Assuming the statements to be true, which conclusion(s) logically follow(s)?
- Only conclusion I follows
- Only conclusion II follows
- Both I and II follow
- Neither I nor II follows
Answer and explanation
Answer: C. Both I and II follow
Explanation: Singers lie inside dancers, which share nothing with painters, so no singer is a painter (II). The doctors who are singers are therefore not painters, so I also follows.
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