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If 'some artists are celebrities' and 'all celebrities are millionaires', then which of the given conclusions follow?
Question

If 'some artists are celebrities' and 'all celebrities are millionaires', then which of the given conclusions follow?

A.

No celebrities are millionaires

B.

Some artists are millionaire

C.

No millionaires are celebrities

D.

All artists are millionaires.

Correct option is B

Statements:

Some artists are celebrities

All celebrities are millionaires

Least possible Venn Diagram is:

Conclusions:

A. No celebrities are millionaires
This is false because the second statement explicitly states that all celebrities are millionaires.

B. Some artists are millionaires
This is true because:
From the first statement, some artists are celebrities.
From the second statement, all celebrities are millionaires.
Therefore, the artists who are celebrities are also millionaires.

C. No millionaires are celebrities
This is false because the second statement explicitly states that all celebrities are millionaires.

D. All artists are millionaires
This is false because only some artists are celebrities (and hence millionaires). There is no evidence that all artists belong to the group of millionaires.

Hence, option (b) is the correct answer.

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