Question : Directions: 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:
1. Some dancers are singers.
2. No singer is an actor.
Conclusions:
I. Some actors are singers.
II. All singers are dancers.
Option 1: Neither conclusion I nor II follows
Option 2: Only conclusion I follows
Option 3: Either conclusion I or II follows
Option 4: Only conclusion II follows
Correct Answer: Neither conclusion I nor II follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some actors are singers – From the Venn diagram, it is evident that there is a negative relation between actors and singers. Thus, this conclusion does not follow.
Conclusion (II):
All singers are dancers – From the Venn diagram, it is evident that the circles representing singers and dancers overlap and have some parts of their area in common. Thus, this conclusion does not follow.
So, neither conclusion I nor II follows. Hence, the first option is correct.
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