Question

In this question, three statements followed by two conclusions numbered I and II have been given. You have to take the given statements to be true even if they seem to be at variance from the commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts. Statements:

• Some flats are apartments.
• No apartment is a hall.
• Some halls are rooms.

Conclusions:

• [I.] At least some rooms are flats.
• [II.] No apartment is a room.

• A. Only Conclusion I is true
• B. Only Conclusion II is true
• C. Both Conclusions I and II are true
• D. Neither Conclusion I nor II is true

Hint:

In syllogism questions, only draw conclusions that are definite. If there is no direct connection between groups, the conclusion does not follow.

Answer 1

The Correct Option is D

Concept: This is a syllogism-based logical reasoning problem where relationships between sets are interpreted using inclusion and exclusion principles. Step 1:Interpret the given statements.

• Some flats are apartments → There exists a partial overlap between Flats and Apartments
• No apartment is a hall → Apartments and Halls are completely disjoint sets
• Some halls are rooms → There is a partial overlap between Halls and Rooms

Step 2:Evaluate Conclusion I.
“At least some rooms are flats” requires a direct or transitive link between Rooms and Flats. However:

• Rooms are connected to Halls
• Halls are completely separate from Apartments
• Flats are connected only to Apartments

Since no definite chain connects Rooms and Flats, this conclusion does not necessarily follow.
Step 3:Evaluate Conclusion II.
“No apartment is a room” would require a confirmed disjoint relation between Apartments and Rooms. Given:

• Apartments are only related to Flats
• Rooms are related only to Halls

There is no direct or indirect constraint establishing complete separation between Apartments and Rooms, so this conclusion also does not follow.
Final Answer: Neither Conclusion I nor II is true