Question 26
HardOriginal questionAssume the statements are true.
Statements: Some benches are not tables. All tables are stools.
Conclusions:
I. Some benches are not stools.
II. Some stools are not benches.
Show the answer and explanation
Correct answer: C
Explanation
The benches that are not tables may still be stools (the stool circle is bigger than the table circle). Draw every bench inside the stool circle: the statements hold, so I is not definite.
Now draw the stool circle (with the table circle inside it) entirely inside the bench circle, leaving some benches outside the tables. The statements hold and every stool is a bench, so II is not definite either.
The two conclusions are about different subjects (benches in I, stools in II), so they cannot be an either-or pair.
Neither I nor II follows.
Worth noting
A 'Some … not' statement gives nothing when it meets an All that runs away from it. Also, Some-not / Some-not is never an either-or pair.
- Concept
- Some … not + All: nothing definite
- Typical timeTypical
- 110 s
- Your timeYours
- —
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