Floor Building Basics
Six people (Manan, Kiran, Aditi, Isha, Trisha, Arya) reside on floors \(1\) through \(6\). Floor \(1\) is the lowest.
Clue Analysis and Deduction Steps
- Arya's Floor Possibilities: Arya lives on an odd floor, not floor \(1\). Arya could be on floor \(3\) or floor \(5\).
- Relative Positions: Trisha is immediately above Arya (T = A+1). Kiran is immediately above Trisha (K = T+1). This means Kiran is two floors above Arya (K = A+2).
- Eliminating Floor \(5\) for Arya: If Arya were on floor \(5\), Trisha would be on floor \(6\), and Kiran would need to be on floor \(7\), which is impossible as the building only has 6 floors.
- Confirming Arya's Floor: Therefore, Arya must reside on floor \(3\).
- Placing Other Residents based on Arya on Floor \(3\): With Arya on floor \(3\), Trisha is on floor \(4\) (T = 3+1), and Kiran is on floor \(5\) (K = 4+1). Two people between Isha and Arya (floor \(3\)) places Isha on floor \(6\) (since floors \(4\) and \(5\) are between them, \(6 - 3 = 3\)). One person between Arya (floor \(3\)) and Aditi places Aditi on floor \(1\) (floor \(2\) is between them).
Final Floor Assignment
| Floor | Resident |
|---|---|
| \(6\) | Isha |
| \(5\) | Kiran |
| \(4\) | Trisha |
| \(3\) | Arya |
| \(2\) | Manan |
| \(1\) | Aditi |
The remaining person, Manan, resides on the only remaining floor, which is floor \(2\).
Similar Questions
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Important Questions from Floor Puzzle
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