Question : Directions: Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. You have to decide which conclusions logically follow/s from the given statements.
Statements:
I. All directors are actors.
II. Some actors are writers.
III. No writer is a producer.
Conclusions:
I. Some directors are writers
II. No producer is a director
Option 1: Neither conclusion I nor II follows
Option 2: Only conclusion I follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion II follows
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Correct Answer: Neither conclusion I nor II follows
Solution : According to the given statements, the following Venn diagram can be drawn –
Let's analyse the conclusions –
Conclusion I:
Some directors are writers – From the above diagram, it can be seen that there is no direct relation between directors and writers. So, this conclusion does not follow.
Conclusion II:
No producer is a director – From the above diagram, it can be seen that there is no definite relation between producers and directors. So, this conclusion does not follow.
Therefore, neither conclusion I nor II follows. according to the given statements. Hence, the first option is correct.
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