Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
All directors are actors.
No actor is a producer.
All choreographers are directors.
Conclusions:
I. No choreographer is a producer.
II. Some actors are choreographers.
III. No director is a producer.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. All the conclusions follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. No choreographer is a producer → True (As all choreographers are directors and all directors are actors so all choreographers are actors. And No actor is a producer, so, no choreographer is a producer.)
II. Some actors are choreographers → True (As all choreographers are directors and all directors are actors so all choreographers are actors. so, some actors are choreographers.)
III. No director is a producer → True (As all directors are actors and no actor is a producer, so, no director is a producer.)
Hence, all the conclusion follows.