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Syllogisms · Question 51 of 68

Question 51

EasyOriginal question

Assume the statements are true.

Statements: All buckets are tubs. Some tubs are basins.

Conclusions:

I. All tubs being buckets is a possibility.

II. Some buckets being basins is a possibility.

Options for question 51

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. A possibility follows if at least one picture that obeys the statements makes it true.

  2. Draw the bucket circle and the tub circle as the same circle, with the basins overlapping it. Every statement holds and all tubs are buckets, so I follows.

  3. Draw the basin overlap passing through the buckets. The statements still hold and some buckets are basins, so II follows.

  4. Both I and II follow.

Worth noting

Nothing in the statements forbids either picture. For a possibility, you only need ONE valid picture, not every picture.

Concept
Possibility conclusions after All + Some
Typical time
40 s
Your time
—
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.