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Syllogisms · Question 22 of 68

Question 22

MediumOriginal question

Assume 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.

Options for question 22

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. 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.

  2. So neither 'Some quilts are not blankets' nor 'All quilts are blankets' is definite.

  3. They share the same subject and predicate (quilts, blankets) and form the complementary All / Some-not pair: one of them must be true.

  4. 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 time
70 s
Your time
—
The rule this testsTwo statements
Practise this chapter →

Ten questions from Syllogisms, at your own pace.

Practise this chapter →

Ten questions from Syllogisms, at your own pace.