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Syllogisms · Question 54 of 68

Question 54

EasyOriginal question

Assume the statements are true.

Statements: All poles are posts. All posts are pillars.

Conclusions:

I. All pillars being poles is a possibility.

II. Some poles not being pillars is a possibility.

Options for question 54

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. All three circles may coincide: every pillar a post, every post a pole. That picture obeys both statements, so I follows.

  2. Every pole is a post and every post is a pillar, so every pole is a pillar in every picture. 'Some poles not being pillars' is impossible: II does not follow.

  3. Only I follows.

Worth noting

'All A are B' allows A and B to be exactly the same group, so 'All B being A' is always a possibility.

Concept
Reverse All is a possibility
Typical time
40 s
Your time
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The rule this testsPossibility and either-or
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Ten questions from Syllogisms, at your own pace.

Practise this chapter →

Ten questions from Syllogisms, at your own pace.