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Syllogisms · Question 66 of 68

Question 66

HardOriginal question

Assume the statements are true.

Statements: Some sofas are not beds. All beds are cots.

Conclusions:

I. All sofas being cots is a possibility.

II. All cots being sofas is a possibility.

Options for question 66

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. For I, draw every sofa inside the cot circle, with some sofas in the part that is not beds. Every statement holds, so I follows.

  2. For II, draw the cot circle (with the bed circle inside it) inside a bigger sofa circle, leaving some sofas outside the beds. Every statement holds, so II follows.

  3. Both pictures are valid, so both possibilities follow.

  4. Both I and II follow.

Worth noting

The only fixed fact is that at least one sofa is not a bed. Both pictures keep such a sofa, so neither breaks the statements.

Concept
Possibilities with Some … not + All
Typical time
110 s
Your time
—
The rule this testsPossibility and either-or
Practise this chapter →

Ten questions from Syllogisms, at your own pace.

Practise this chapter →

Ten questions from Syllogisms, at your own pace.