Question

Given below are two statements followed by two conclusions numbered I and II. You have to take the two given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts-
Statements :
All keys are locks. Some locks are doors.
Conclusions :
I. Some keys are doors.
II. Some doors are keys.

• A. only conclusion I follows
• B. only conclusion II follows
• C. either I or II follows
• D. neither I nor II follows
• E. both I and II follow.

Answer 1

The Correct Option is D

Conclusion I: "Some keys are doors."
From the first statement, we know that all keys are part of the group of locks. The second statement says that some locks are doors, but it does not specify whether any of these locks, which are also doors, include keys. Therefore, it is not guaranteed that any keys are doors. Hence, this conclusion does not necessarily follow.
Conclusion II: "Some doors are keys."
Again, while some locks are doors, the first statement only tells us that all keys are locks. However, it does not say that any of the locks that are doors are keys. So, there is no direct logical link to suggest that some doors are keys. Therefore, this conclusion does not necessarily follow either.
Since neither conclusion I nor conclusion II logically follows from the given statements, the correct answer is:(4)if neither I nor II follows
The Correct option is(D)