Read the given information carefully and answer the questions that follow
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.
Who lives on the same floor as the one who belongs to Pune?
Correct Answer :
The one who belongs to Chennai
Solution :
To find the person who lives on the same floor as the one who belongs to Pune, we can analyze the clues step-by-step to reconstruct the floor and flat arrangements.
There are 3 floors (3 is the topmost, 1 is the lowermost) and two flats on each floor (Flat-P is to the west, Flat-Q is to the east).
Step 1: Determine the positions of E, Delhi, and Jaipur
- "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.
- "The one who belongs from Jaipur lives to the east of the one who belongs from Delhi." Flat-P is west and Flat-Q is east. Therefore, Delhi is in Flat-P of Floor 1, and Jaipur is in Flat-Q of Floor 1.
So, Floor 1 is arranged as:
- Floor 1, Flat-P: (Delhi)
- Floor 1, Flat-Q: (Jaipur)
Step 2: Determine the positions of D, Pune, and E
- "The one who belongs from Pune lives immediately above the person who lives to the west of D." This implies that D must live in Flat-Q, the person to the west of D lives in Flat-P of the same floor, and the person from Pune lives in Flat-P of the floor immediately above them.
- Since Flat-Q of Floor 1 is occupied by Jaipur, D cannot live on Floor 1. Thus, D must live on Floor 2, Flat-Q.
- Consequently, the person to the west of D lives on Floor 2, Flat-P.
- The person from Pune lives immediately above Floor 2, Flat-P, which is Floor 3, Flat-P.
- Since E lives on Floor 3 and "E and D lives in the different named flat", E (who is on Floor 3) must live in Flat-P (since D is in Flat-Q).
- Therefore, E lives in Floor 3, Flat-P and belongs to Pune.
Step 3: Locate F
- "F lives below E and belongs from Kolkata." E is on Floor 3, Flat-P. The position below E on Floor 1, Flat-P is already occupied by the person from Delhi. Thus, F must live on Floor 2, Flat-P.
- Therefore, Floor 2, Flat-P is occupied by F (Kolkata).
Step 4: Locate Chennai
- "The one who belongs from Chennai lives to the north-east of the one who belongs from Kolkata." Kolkata (F) is on Floor 2, Flat-P. The flat to its north-east is Floor 3, Flat-Q.
- Therefore, the person on Floor 3, Flat-Q belongs to Chennai.
Step 5: Place A, B, and C
- "A and C live in the same named flat." The remaining vacant spots are Floor 1, Flat-P (Delhi) and Flat-Q spots (Floor 3 and Floor 1).
- Since A and C must share the same named flat, they must both occupy Flat-Q (Floor 3, Flat-Q and Floor 1, Flat-Q). This leaves Floor 1, Flat-P for B. Thus, B belongs to Delhi.
- "A doesn't belong from Chennai." Since Floor 3, Flat-Q belongs to Chennai, C must live in Floor 3, Flat-Q and belong to Chennai, while A lives in Floor 1, Flat-Q and belongs to Jaipur.
Step 6: Map Mumbai
- "C and the one who belongs from Mumbai doesn't live on the same floor." Since C lives on Floor 3, Mumbai cannot be on Floor 3. The only available spot for Mumbai is Floor 2, Flat-Q (occupied by D). Thus, D belongs to Mumbai.
Summary of the Final Arrangement:
- 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)
The person who belongs to Pune is E, who lives on Floor 3. The person living on the same floor as E is C, who belongs to Chennai.
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