GATE CE 2017 Set 1 — Question 62
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General Aptitude → Analytical Aptitude → Deduction & Induction
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Question
Students applying for hostel rooms are allotted rooms in order of seniority. Students already staying in a room will move if they get a room in their preferred list. Preferences of lower ranked applicants are ignored during allocation.
Given the data below, which room will Ajit stay in?
Given the data below, which room will Ajit stay in?
| Names | Student seniority | Current room | Room preference list |
|---|---|---|---|
| Amar | 1 | P | R. S. Q |
| Akbar | 2 | None | R. S |
| Anthony | 3 | Q | P |
| Ajit | 4 | S | Q. P. R |
Correct answer
(B) Q
Solution
Let's trace the room allocation process based on seniority, from highest (1) to lowest (4).Initial State:
- Room P: Amar (Seniority 1)
- Room Q: Anthony (Seniority 3)
- Room S: Ajit (Seniority 4)
- Akbar (Seniority 2): No room
- Amar is currently in Room P. His preferences are R, S, Q.
- Check his preferences in order:
- R: Room R is currently empty. Amar moves to Room R.
- Result after Amar's move:
- Room R: Amar
- Room P: Empty
- Room Q: Anthony
- Room S: Ajit
- Akbar: No room
- Akbar has no current room. His preferences are R, S.
- Check his preferences in order:
- R: Room R is occupied by Amar (Seniority 1). Akbar cannot displace Amar as Amar is more senior.
- S: Room S is occupied by Ajit (Seniority 4). Akbar (Seniority 2) is more senior than Ajit (Seniority 4). According to the rule "Students already staying in a room will move if they get a room in their preferred list" and "Preferences of lower ranked applicants are ignored during allocation", Akbar can take Room S from Ajit.
- Result after Akbar's move:
- Room R: Amar
- Room P: Empty
- Room Q: Anthony
- Room S: Akbar
- Ajit: No room (displaced from S)
- Anthony is currently in Room Q. His preference is P.
- Check his preference:
- P: Room P is currently empty. Anthony moves to Room P.
- Result after Anthony's move:
- Room R: Amar
- Room P: Anthony
- Room Q: Empty
- Room S: Akbar
- Ajit: No room
- Ajit was displaced from Room S and currently has no room. His preferences are Q, P, R.
- Check his preferences in order:
- Q: Room Q is currently empty. Ajit moves to Room Q.
- Result after Ajit's move:
- Room R: Amar
- Room P: Anthony
- Room Q: Ajit
- Room S: Akbar
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