Question 11
MediumOriginal questionAssume the statements are true.
Statements: All drums are bells. Some bells are whistles.
Conclusions:
I. Some drums are whistles.
II. No drum is a whistle.
Show the answer and explanation
Correct answer: C
Explanation
The drum circle is inside the bell circle; the whistle circle overlaps the bell circle somewhere.
The overlap may pass through the drum circle (then some drums are whistles) or miss it entirely (then no drum is a whistle). Neither conclusion is definite on its own.
The two conclusions are about the same pair, drums and whistles, and 'Some … are' and 'No … is' are opposites: exactly one of them must be true.
So either I or II follows.
Worth noting
'All + Some' gives no definite conclusion. When neither follows, check whether the pair is a complementary Some/No pair before choosing 'Neither'.
- Concept
- All + Some gives nothing definite; the Some/No either-or pair
- Typical timeTypical
- 70 s
- Your timeYours
- —
Ten questions from Syllogisms, at your own pace.