Question : Directions: Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
I) All actors are singers.
II) Some musicians are dancers.
Conclusions:
I) All dancers are musicians.
II) Some singers are actors.
Option 1: Neither Conclusion I nor II follows
Option 2: Only conclusion II follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion I follows
Correct Answer: Only conclusion II follows
Solution :
The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All dancers are musicians –
From the Venn diagram, it is evident that the circles representing dancers and musicians intersect and have some parts of their area in common. Therefore, some dancers are musicians is true, but all dancers are musicians
doesn't follow.
Conclusion (II):
Some singers are actors – From the Venn diagram, it is evident that some parts of the circle representing singers lie inside the circle representing actors while some lie outside. Thus, it can be concluded that some singers are actors.
So, the only conclusion II follows. Hence, the second option is correct.
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