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Syllogisms · Question 50 of 68

Question 50

HardOriginal question

Assume the statements are true.

Statements: Some trunks are chests. All chests are crates. No crate is a barrel.

Which one of the following conclusions definitely follows?

Options for question 50

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Every chest is a crate and no crate is a barrel, so no chest is a barrel.

  2. The trunks that are chests are therefore not barrels: some trunks are not barrels. This follows.

  3. Trunks that are not chests may be barrels, so 'No trunk is a barrel' is not certain. 'Some barrels are chests' contradicts 'No chest is a barrel'. 'All crates are chests' reverses an All.

  4. The conclusion that definitely follows is: Some trunks are not barrels.

Worth noting

Upgrading the Some-not to a full 'No trunk is a barrel' is the tempting mistake.

Concept
Some + All + No gives Some … not
Typical time
110 s
Your time
—
The rule this testsThree statements
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Ten questions from Syllogisms, at your own pace.

Practise this chapter →

Ten questions from Syllogisms, at your own pace.