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Syllogisms · Question 25 of 68

Question 25

HardOriginal question

Assume the statements are true.

Statements: All feathers are balloons. Some feathers are not lanterns.

Conclusions:

I. Some balloons are not lanterns.

II. Some lanterns are not balloons.

Options for question 25

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Pick a feather that is not a lantern. It is a feather, so it is also a balloon. That balloon is not a lantern, so some balloons are not lanterns: I follows.

  2. For II, draw the lantern circle entirely inside the balloon circle (away from that feather). All statements hold and every lantern is a balloon, so II is not definite.

  3. Only I follows.

Worth noting

'Some X are not Y' cannot be reversed into 'Some Y are not X'. Conclusion II is exactly that reversed form.

Concept
Carrying a Some … not up to a bigger group; Some … not is not reversible
Typical time
110 s
Your time
—
The rule this testsTwo statements
Practise this chapter →

Ten questions from Syllogisms, at your own pace.

Practise this chapter →

Ten questions from Syllogisms, at your own pace.