Amazon MBA: Syllogism 3

Question 1

Statements: Some doctors are fools. Some fools are rich. Conclusion: Some doctors are rich.

Accepted Answer

Conclusion does not follow

Answer

Two particular premises with an undistributed middle prove nothing.

Question 2

Statements: All trees are green. No green thing is yellow. Which conclusion is valid?

Accepted Answer

No tree is yellow

Answer

Trees are green and no green thing is yellow, so no tree is yellow.

Question 3

Statements: All boys are students. All students are players. Conclusion: All boys are players.

Accepted Answer

Conclusion follows

Answer

The two universal affirmatives chain to make all boys players.

Question 4

Statements: Some keys are locks. All locks are metals. Conclusion: Some keys are metals.

Accepted Answer

Conclusion follows

Answer

Keys that are locks are metals, so some keys are metals.

Question 5

Statements: No teacher is rich. Some rich people are wise. Conclusion: Some wise people are not teachers.

Accepted Answer

Conclusion follows

Answer

The wise who are rich cannot be teachers, so some wise are not teachers.

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