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Question

In each of the questions below are given four statements followed by three conclusions numbered I, II and III. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

All actors are directors.

Some directors are dancers.

All dancers are writers.

Conclusions:

I. Some actors are writers.

II. Some writers are not directors..

III. No actor is a director.

A None follows Correct Answer Incorrect Answer
B Only II follows Correct Answer Incorrect Answer
C Only III follows Correct Answer Incorrect Answer
D Only either I or III follow Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

All actors are directors (A) + Some directors are dancers (I) ⇒ No conclusion. Hence conclusion I will not follow. Some directors are dancers (I) + All dancers are writers (A) ⇒ Some directors are writers (I) ⇒ Conversion ⇒ Some writers are directors. Hence, conclusion II will not follow. All actors are directors (A) ⇒ I.I ⇒ Some actors are directors (I). Hence conclusion III will not follow.

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