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. All buildings are towers.
II. No tower is a shop.
III. Some shops are offices.
Conclusions:
I. Some offices are towers.
II. No building is a shop.
Option 1: Both conclusions I and II follow
Option 2: Only conclusion I follows
Option 3: Only conclusion II follows
Option 4: Neither conclusion I nor II 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):
Some offices are towers – From the given Venn diagram, there is no definite relation between office and tower. Therefore, this conclusion is false.
Conclusion (I):
No building is a shop – From the given Venn diagram, no tower is a shop and the building is a part of a tower. Therefore, no building is a shop is a true conclusion.
So, the only conclusion II follows. Hence, the third option is correct.
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