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Syllogisms · Question 26 of 68

Question 26

HardOriginal question

Assume the statements are true.

Statements: Some benches are not tables. All tables are stools.

Conclusions:

I. Some benches are not stools.

II. Some stools are not benches.

Options for question 26

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. The benches that are not tables may still be stools (the stool circle is bigger than the table circle). Draw every bench inside the stool circle: the statements hold, so I is not definite.

  2. Now draw the stool circle (with the table circle inside it) entirely inside the bench circle, leaving some benches outside the tables. The statements hold and every stool is a bench, so II is not definite either.

  3. The two conclusions are about different subjects (benches in I, stools in II), so they cannot be an either-or pair.

  4. Neither I nor II follows.

Worth noting

A 'Some … not' statement gives nothing when it meets an All that runs away from it. Also, Some-not / Some-not is never an either-or pair.

Concept
Some … not + All: nothing definite
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.