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Syllogisms · Question 45 of 68

Question 45

HardOriginal question

Assume the statements are true.

Statements: All shirts are jackets. No jacket is a coat. Some coats are sweaters.

Conclusions:

I. Some sweaters are not shirts.

II. No shirt is a sweater.

Options for question 45

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Every shirt is a jacket and no jacket is a coat, so no shirt is a coat.

  2. The sweaters that are coats are therefore not shirts. Some sweaters are not shirts: I follows.

  3. Sweaters that are not coats are unrestricted and may be shirts, so 'No shirt is a sweater' is not definite. II does not follow.

  4. Only I follows.

Worth noting

First combine the first two statements (No shirt is a coat), then join that with the third. Joining 'No + Some' gives a Some-not starting from the Some group.

Concept
Reducing three statements to two, then No + Some
Typical time
110 s
Your time
—
The rule this testsThree statements
Practise this chapter →

Ten questions from Syllogisms, at your own pace.

Practise this chapter →

Ten questions from Syllogisms, at your own pace.