Question : Directions: In this question, three 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 follows/follow from the statements.
Statements:
I. Some rooms are cages.
II. Some cages are enclosures.
III. All enclosures are houses.
Conclusions:
I. Some houses are cages.
II. All rooms are enclosures.
Option 1: Both conclusions I and II follow
Option 2: Only conclusion I follows
Option 3: Neither conclusion I nor II follows
Option 4: Only conclusion II follows
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyze the conclusions –
Conclusion (I):
Some houses are cages – From the Venn diagram, it is evident that the circles representing houses and cages overlap and have some parts of their area in common. Thus, it can be concluded that some houses are cages.
Conclusion (II):
All rooms are enclosures – From the Venn diagram, it is evident that there is no definite relation between rooms and enclosures. Thus, this conclusion does not follow.
So, the only conclusion I follows. Hence, the second option is correct.
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