Assume the statements are true.
Statements: All carrots are radishes. No radish is a beet.
Conclusions:
I. Some carrots being beets is a possibility.
II. All beets being radishes is a possibility.

Only I followsCorrect answerYour answerOnly II followsCorrect answerYour answerNeither I nor II followsCorrect answerYour answerBoth I and II followCorrect answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Every carrot is a radish and no radish is a beet, so no carrot is a beet is definite. 'Some carrots being beets' clashes with it, so I does not follow.
No radish is a beet, so the beets can never be radishes. 'All beets being radishes' is impossible, so II does not follow.
Neither I nor II follows.

Worth noting

A possibility needs just one valid picture, but when a 'No' statement separates two groups there is no picture where they meet.

Concept: Possibilities ruled out by No
Typical timeTypical: 70 s
Your timeYours: —

The rule this testsPossibility and either-or

Practise this chapter →

Ten questions from Syllogisms, at your own pace.

Assume the statements are true.Statements: All carrots are radishes. No radish is a beet.Conclusions:I. Some carrots being beets is a possibility.II. All beets being radishes is a possibility.

Explanation

Assume the statements are true.
Statements: All carrots are radishes. No radish is a beet.
Conclusions:
I. Some carrots being beets is a possibility.
II. All beets being radishes is a possibility.