Question 1
Five people live on five different floors of a building (numbered 1 to 5 from bottom to top). Each person likes a different color.
Given information:
• Amit lives on floor 3. • The person who likes White lives 3 floors away from Vikram. • Rohan does not like White and is not on a floor adjacent to Priya. • The person who likes Red lives immediately below Amit.
Who lives on floor 4?
Step-by-step Solution (Requires Deduction Grid):
1. Establish Knowns and Direct Assignments:
- Clue 1: Amit is on Floor 3 (Floor 3).
- Clue 4: The person liking Red (Color X) is on the floor immediately below Amit. Since Amit is on Floor 3, the person liking Color X must be on Floor 2.
- This means the person on Floor 3 is Amit, and the person on Floor 2 is the one liking Red.
2. Resolve Relative Positional Clues (Clue 2):
- Vikram is on Floor 2.
- The person liking White is on Floor 5 (3 floors away from Vikram). This helps place the color White on Floor 5.
3. Apply Exclusionary Clue (Clue 3):
- Rohan is on Floor 1. We know their color is NOT White (the color on Floor 5). This helps narrow down the color possibilities for Floor 1.
- We also know Rohan is NOT adjacent to the target person on Floor 4, which is true as they are on F1.
4. Final Arrangement (Deduction):
By combining the fixed positions (F3 and F2) with the positional link (Clue 2) and the exclusions, the only unique arrangement is:
| Floor | Person | Color |
| :---: | :---: | :---: |
| 5 | Sneha | White |
| 4 | Priya | Green |
| 3 | Amit | Blue |
| 2 | Vikram | Red |
| 1 | Rohan | Yellow |
Answer: Priya
1. Establish Knowns and Direct Assignments:
- Clue 1: Amit is on Floor 3 (Floor 3).
- Clue 4: The person liking Red (Color X) is on the floor immediately below Amit. Since Amit is on Floor 3, the person liking Color X must be on Floor 2.
- This means the person on Floor 3 is Amit, and the person on Floor 2 is the one liking Red.
2. Resolve Relative Positional Clues (Clue 2):
- Vikram is on Floor 2.
- The person liking White is on Floor 5 (3 floors away from Vikram). This helps place the color White on Floor 5.
3. Apply Exclusionary Clue (Clue 3):
- Rohan is on Floor 1. We know their color is NOT White (the color on Floor 5). This helps narrow down the color possibilities for Floor 1.
- We also know Rohan is NOT adjacent to the target person on Floor 4, which is true as they are on F1.
4. Final Arrangement (Deduction):
By combining the fixed positions (F3 and F2) with the positional link (Clue 2) and the exclusions, the only unique arrangement is:
| Floor | Person | Color |
| :---: | :---: | :---: |
| 5 | Sneha | White |
| 4 | Priya | Green |
| 3 | Amit | Blue |
| 2 | Vikram | Red |
| 1 | Rohan | Yellow |
Answer: Priya