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Syllogisms · Question 20 of 68

Question 20

MediumOriginal question

Assume the statements are true.

Statements: All scarves are shawls. Some shawls are not caps.

Which one of the following conclusions definitely follows?

Options for question 20

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. 'All scarves are shawls' gives 'Some shawls are scarves' in reverse, because scarves exist. That one is certain.

  2. The shawls that are not caps may be scarves or not, so 'Some scarves are not caps' and 'No scarf is a cap' are only possible.

  3. 'All shawls are scarves' reverses an All statement, which is never allowed.

  4. So the conclusion that definitely follows is: Some shawls are scarves.

Concept
Converting All to Some; Some … not gives nothing
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.