Question : Directions: In the following question, two statements are given followed by two conclusions I and II. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.
Statements:
Some schools are Laboratories.
All Laboratories are theatres.
Conclusions:
I. Some theatres are schools.
II. No school is a theatre.
Option 1: Only Conclusion II follows
Option 2: Both Conclusions I and II follow
Option 3: Neither Conclusion I nor II follows
Option 4: Only Conclusion I follows
Correct Answer: Only Conclusion I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse each conclusion –
Conclusion (I):
Some theatres are schools – From the Venn diagram, it is evident that the circles representing schools and theatres overlap and have a part of their area in common. So, from this, it can be concluded that some theatres are schools. Therefore, this conclusion follows.
Conclusion (II):
No school is a theatre – From the Venn diagram, it is evident that the circles representing schools and theatres overlap and have a part of their area in common. So, from this, it can be concluded that some theatres are schools. Therefore, this conclusion does not follow.
So, the only conclusion I follows. Hence, the fourth option is correct.
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