Eight persons Dhruv, Dipak, Khush, Sapna, Sudhir, Vaibhav, Vimal and Vivek lives on eight different floors of 8-storey building from bottom to top such as ground floor is numbered as 1st and top floor is numbered as 8th.Vaibhav lives on even numbered floor but not on 6th floor. Vivek lives below Khush’s floor. Sudhir lives two floors above Dipak’s floor. Dhruv lives on an even numbered floor but not adjacent to Sudhir’s floor. Vaibhav lives just above Vimal’s floor. Khush lives on 3rd floor. Sudhir does not live on topmost floor. Sapna’s floor is not adjacent to Dipak’s floor.
Who lives two floors below Sapna’s floor?
The problem requires determining the floor arrangement of eight people in an 8-storey building based on given clues.
Floor Numbering
The building has 8 floors, numbered 1 (ground) to 8 (top).
Applying the Clues
- Khush lives on the 3rd floor. Floor 3: Khush
- Vaibhav lives on an even numbered floor but not on 6th floor. Vaibhav can be on floor 2, 4, or 8.
- Vaibhav lives just above Vimal’s floor. This means Vaibhav and Vimal are on consecutive floors (Vimal, Vaibhav).
- If Vaibhav is on 2, Vimal is on 1.
- If Vaibhav is on 4, Vimal is on 3. (Invalid, Khush is on 3)
- If Vaibhav is on 8, Vimal is on 7.
- Vivek lives below Khush’s floor (Floor 3). Vivek can be on Floor 1 or Floor 2.
- If (Vimal, Vaibhav) = (1, 2), then floors 1 and 2 are occupied. Vivek cannot be placed below floor 3. Thus, this option is invalid.
- Therefore, (Vimal, Vaibhav) = (7, 8). Floor 7: Vimal Floor 8: Vaibhav
- Sudhir lives two floors above Dipak’s floor. (Sudhir = Dipak + 2). Sudhir is not on the topmost floor (8).
Possible pairs (Dipak, Sudhir):
- (1, 3) (Invalid, Khush is on 3)
- (2, 4)
- (3, 5) (Invalid, Khush is on 3)
- (4, 6)
- (5, 7) (Invalid, Vimal is on 7)
- (6, 8) (Invalid, Sudhir != 8)
- Vivek lives below Khush (Floor 3). Vivek can be on Floor 1 or 2.
- Dhruv lives on an even numbered floor but not adjacent to Sudhir’s floor. Dhruv can be on 2, 4, 6. (Floor 8 is Vaibhav).
- Sapna’s floor is not adjacent to Dipak’s floor.
Case Analysis
We test the two possibilities for (Dipak, Sudhir).
Case 1: (Dipak, Sudhir) = (2, 4)
- Floor 2: Dipak
- Floor 4: Sudhir
- Floor 3: Khush
- Floor 7: Vimal
- Floor 8: Vaibhav
- Vivek must be on Floor 1 (as Vivek < 3 and Floor 2 is taken).
- Floor 1: Vivek
- The remaining floors are 5 and 6. The remaining people are Dhruv and Sapna.
- Dhruv must be on an even floor. The only available even floor is 6.
- Floor 6: Dhruv
- Floor 5: Sapna
- Check constraints: Dhruv (6) is not adjacent to Sudhir (4). (OK). Sapna (5) is not adjacent to Dipak (2). (OK).
- This arrangement is valid:
- Floor 8: Vaibhav
- Floor 7: Vimal
- Floor 6: Dhruv
- Floor 5: Sapna
- Floor 4: Sudhir
- Floor 3: Khush
- Floor 2: Dipak
- Floor 1: Vivek
Case 2: (Dipak, Sudhir) = (4, 6)
- Floor 4: Dipak
- Floor 6: Sudhir
- Floor 3: Khush
- Floor 7: Vimal
- Floor 8: Vaibhav
- Dhruv must be on an even floor (2, 4, 6, 8). Available even floors are 2. (4, 6, 8 are taken).
- Floor 2: Dhruv
- Vivek must be on Floor 1 (as Vivek < 3 and Floor 2 is taken).
- Floor 1: Vivek
- The remaining floor is 5. The remaining person is Sapna.
- Floor 5: Sapna
- Check constraint: Sapna (5) is not adjacent to Dipak (4). (This is FALSE, as 5 is adjacent to 4).
- This arrangement is invalid.
Final Arrangement and Answer
The valid arrangement is:
Floor 8: Vaibhav
Floor 7: Vimal
Floor 6: Dhruv
Floor 5: Sapna
Floor 4: Sudhir
Floor 3: Khush
Floor 2: Dipak
Floor 1: Vivek
The question asks who lives two floors below Sapna’s floor.
Sapna lives on Floor 5.
Two floors below Floor 5 is calculated as: Floor $5 - 2 = 3$.
Khush lives on Floor 3.
Similar Questions
- Directions: Study the following information to answer the given Questions:
Eight persons Dhruv, Dipak, Khush, Sapna, Sudhir, Vaibhav, Vimal and Vivek lives on eight different floors of 8-storey building from bottom to top such as ground floor is numbered as 1st and top floor is numbered as 8th. Vaibhav lives on even numbered floor but not on 6th floor. Vivek lives below Khush's floor. Sudhir lives two floors above Dipak's floor. Dhruv lives on an even numbered floor but not adjacent to Sudhir's floor. Vaibhav lives just above Vimal's floor. Khush lives on 3rd floor. Sudhir does not live on topmost floor. Sapna's floor is not adjacent to Dipak's floor.
How many persons live between Vaibhav's and Dipak's floor? Directions: Study the following information carefully and answer the questions based on it.
There are six people A, B, C, D, E and F who live in a six-storey building, the lowest floor is numbered 1 and the highest is numbered 6. E lives on an even-numbered floor. There are 2 floors between E and C and 1 floor between E and F. C lives on the first floor. F doesn't live immediately above C. There are 2 people between A and D. D doesn't live on an odd floor.Who lives 2 floors below B?
Direction: Read the information given below and answer the question that follows.
There is office of eight companies – Airtel, Amazon, Facebook, Flipkart, Google, HCL, Infosys and Jio on different floor of 8-storey building. The bottommost floor is numbered as 1 while the topmost floor is numbered as 8. At least two companies have offices above the office of Flipkart. Neither Facebook nor Google has office adjacent to the office of HCL. The office of Flipkart is two floors above the office of Jio. The office of Airtel is on even numbered floor. The office of HCL is on 7th floor and is not adjacent to office of Airtel. The office of Infosys is neither on any even numbered floor nor on any prime numbered floor. There is one floor between the office of Facebook and Google.
The office of _______ is on 1st floor.
Important Questions from Floor Puzzle
Seven employees, T, U, V, W, X, Y, and Z, reach their factory in a particular sequence. Y reaches immediately before T but does not immediately follow W. V is the last one to reach. X immediately follows T and is subsequently followed by Z. W reaches before T. Who is the second to reach the factory?
Pankaj, Alpesh, Srikumar, Dinesh, Neeraj and Maninder are sitting in six different rows with one person in each row, exactly one after another. Pankaj is just before Alpesh. Dinesh is sitting in the last row. There are four persons before Alpesh. Srikumar is just after Neeraj. Maninder is not in the first row. Who is sitting just after Maninder?
Seven boxes, A, B, C, D, E, F, and G, are kept one over the other but not necessarily in the same order. Only C is kept above D. Only two boxes are kept between D and F. Only G is kept below A. B is not kept immediately above F. Which box is kept fourth from the top?
A, B, C, M, N, and S live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it is numbered 2 and so on till the topmost floor is numbered 6. Only C lives above B. N lives immediately below B. Only A lives below M. Who lives on floor number 3?
G, H, J, K, L and P live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it is numbered 2 and so on till the topmost floor is numbered 6. Only three people live between P and J, whereas P lives below J. K lives on an odd-numbered floor and immediately above P. G lives on one of the floors below L and on one of the floors above H. Who lives on floor numbered 5?
