Question 22
MediumOriginal questionAssume the statements are true.
Statements: Some blankets are quilts. Some blankets are not quilts.
Conclusions:
I. Some quilts are not blankets.
II. All quilts are blankets.
Show the answer and explanation
Correct answer: C
Explanation
The statements only say the blanket circle is partly inside and partly outside the quilt circle. The quilt circle may lie wholly inside the blankets or may stick out.
So neither 'Some quilts are not blankets' nor 'All quilts are blankets' is definite.
They share the same subject and predicate (quilts, blankets) and form the complementary All / Some-not pair: one of them must be true.
Either I or II follows.
Worth noting
The complementary pairs are Some/No and All/Some-not, on the same two groups. All/Some-not is the one students forget.
- Concept
- The All / Some-not either-or pair
- Typical timeTypical
- 70 s
- Your timeYours
- —
Ten questions from Syllogisms, at your own pace.