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Syllogisms · Question 28 of 68

Question 28

HardOriginal question

Assume the statements are true.

Statements: All gates are walls. No gate is a roof.

Conclusions:

I. Some walls are not roofs.

II. Some roofs are not walls.

Options for question 28

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Gates exist, every gate is a wall, and no gate is a roof. So those walls (the gates) are not roofs: I follows.

  2. Roofs could all sit inside the wall circle, in the part that holds no gates. The statements still hold, so II is not definite.

  3. Only I follows.

Worth noting

With a shared subject ('All G are W', 'No G is R'), the definite conclusion is 'Some W are not R'. Reversing it gives II, which is the trap.

Concept
Shared subject: All + No gives Some … not
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.