Six persons – A, B, C, D, E and F – live on three different floors of a three-storeyed building. The lowermost floor is numbered 1, the one above it is numbered 2, and the topmost floor is numbered 3. Each person belongs to a different city, viz., Delhi, Mumbai, Chennai, Kolkata, Jaipur, and Pune, but not necessarily in the same order.
Note-I: Each floor has two flats – Flat-P and Flat-Q, where Flat-P is to the west of Flat-Q.
Note-II: Flat-Q of Floor 2 is immediately above Flat-Q of Floor 1, and Flat-Q of Floor 3 is immediately above Flat-Q of Floor 2. Similarly, Flat-P follows the same pattern.
Note-III: Only two persons live on each floor, and only one person lives in each flat.
The one who belongs from Pune lives immediately above the person who lives to the west of D. E lives two floors above the person who belongs from Delhi. The one who belongs from Jaipur lives to the east of the one who belongs from Delhi. E and D lives in the different named flat. F lives below E and belongs from Kolkata. The one who belongs from Chennai lives to the north-east of the one who belongs from Kolkata. A and C live in the same named flat. A doesn’t belong from Chennai. C and the one who belongs from Mumbai doesn’t live on the same floor.
Which of the following statements is/are not correct?
I. A and F live in the same named flat.
II. The one who belongs to Delhi lives below the one who belongs to Pune.
III. C lives in Flat-P.
Correct Answer :
Both I and III
Solution :
To find the correct answer, we can step-by-step construct the arrangement of floors, flats, persons, and their respective cities based on the clues provided.
Step 1: Determine the floors of E and the person from Delhi
- Note-I states that each floor has Flat-P (West) and Flat-Q (East).
- Clue: "E lives two floors above the person who belongs from Delhi."
Since there are only 3 floors, the person from Delhi must live on Floor 1, and E must live on Floor 3.
Step 2: Determine the position of the person from Delhi and the one from Jaipur
- Clue: "The one who belongs from Jaipur lives to the east of the one who belongs from Delhi."
Since the Delhi person is on Floor 1 and the Jaipur person is to their east (Flat-Q), we get:
• Floor 1, Flat-P: Delhi
• Floor 1, Flat-Q: Jaipur
Step 3: Find the position of F and the Chennai person
- Clue: "F lives below E and belongs from Kolkata."
Since E is on Floor 3, and Floor 1 flats are already occupied by Delhi and Jaipur, F must live on Floor 2. Therefore, F (Kolkata) is on Floor 2.
- Clue: "The one who belongs from Chennai lives to the north-east of the one who belongs from Kolkata (F)."
For Chennai to be north-east of F, F must be in the west flat (Flat-P) of Floor 2, and Chennai must be in the east flat (Flat-Q) of Floor 3. Thus:
• Floor 2, Flat-P: F (Kolkata)
• Floor 3, Flat-Q: Chennai
Step 4: Place E and D
- Since E is on Floor 3 and Floor 3, Flat-Q is occupied by Chennai, E must be in Floor 3, Flat-P.
- Clue: "E and D lives in the different named flat."
Since E is in Flat-P, D must be in Flat-Q.
- D's floor must be Floor 2, since Floor 1, Flat-Q is Jaipur and Floor 3, Flat-Q is Chennai. Thus, D is at Floor 2, Flat-Q.
- Clue: "The one who belongs from Pune lives immediately above the person who lives to the west of D."
The person to the west of D (Floor 2, Flat-Q) is F (Floor 2, Flat-P). Immediately above F is E (Floor 3, Flat-P). Hence, E belongs to Pune.
Step 5: Determine the remaining cities and persons
- The only remaining city is Mumbai, which must belong to D on Floor 2, Flat-Q.
- Clue: "A and C live in the same named flat."
The only available named flat that has two vacant spots is Flat-Q (Floor 3 and Floor 1). Thus, A and C live in Flat-Q.
- Clue: "A doesn’t belong from Chennai."
Since Chennai is on Floor 3, Flat-Q, C must live on Floor 3, Flat-Q (Chennai) and A must live on Floor 1, Flat-Q (Jaipur).
- The remaining person B must live on Floor 1, Flat-P (Delhi).
Final Arrangement Summary:
• Floor 3: Flat-P = E (Pune), Flat-Q = C (Chennai)
• Floor 2: Flat-P = F (Kolkata), Flat-Q = D (Mumbai)
• Floor 1: Flat-P = B (Delhi), Flat-Q = A (Jaipur)
Evaluating the Statements:
- I. A and F live in the same named flat: Incorrect, as A is in Flat-Q and F is in Flat-P.
- II. The one who belongs to Delhi lives below the one who belongs to Pune: Correct, since Delhi (Floor 1) is below Pune (Floor 3).
- III. C lives in Flat-P: Incorrect, as C lives in Flat-Q.
Thus, statements I and III are not correct.
Access expert-curated educational resources and study materials—completely free.
Create, conduct, and manage professional online assessments with Mindyard. Perfect for teachers and institutes.
Copyright © 2026 Mindyard. All Rights Reserved.