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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?

NamesStudent seniorityCurrent roomRoom preference list
Amar1PR, S, Q
Akbar2NoneR, S
Anthony3QP
Ajit4SQ, P, R

The correct answer is
Q
Hostel Room Allocation Explained

Room allocation follows strict seniority rules. Higher-ranked students get priority. Preferences determine room choice among available options for each student in order of their seniority.

Seniority Order and Initial Allocation

  • The students are ranked by seniority: Amar ($1^{st}$), Akbar ($2^{nd}$), Anthony ($3^{rd}$), and Ajit ($4^{th}$).
  • Amar ($1^{st}$): Currently in room P. Has no preferences. Stays in room P.
  • Akbar ($2^{nd}$): Currently has no room. Prefers R, then S. Room R is allocated to Akbar.
  • Anthony ($3^{rd}$): Currently in room Q. Prefers P, then A. Room P is taken by Amar. Room A is unavailable. Anthony cannot move based on his preferences.
  • Ajit ($4^{th}$): Currently in room S. Prefers S, then Q, then P, then R.

Ajit's Room Allocation

Ajit's final room is determined based on the remaining possibilities and his preferences:

  • Room P is occupied by Amar ($1^{st}$).
  • Room R is occupied by Akbar ($2^{nd}$).
  • Room Q is occupied by Anthony ($3^{rd}$), who could not secure his preferred rooms (P or A).
  • Room S is Ajit's current room.

Ajit's preference list is S > Q > P > R.

Although Ajit prefers his current room S, Anthony is unable to move from Q due to unavailable preferences. In the final allocation, Ajit is assigned room Q. This implies a resolution where Ajit gets his second preference, Q, potentially after Anthony vacates it.

Therefore, Ajit will stay in room Q.

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Important Questions from Puzzles

  1. In the 4 x 4 array shown below, each cell of the first three rows has either a cross (X) or a number.
     

    1X43
    X554
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  2. Three children P, Q, R and two grown-ups X, Y play a badminton doubles tournament. X and Y are parents to two of the children playing. The child of X is not the same as the child of Y. Exactly one of the children does not have a parent playing in the tournament. The following rules are followed:
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    The following matches were played:
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    MATCH 2P and RX and Y
    MATCH 3R and XQ and Y

    Which one of the following options is correct?
  3. Rishi and Swathi are students of Class 5. Pavan and Tanvi are students of Class 4. Rishi and Pavan are boys. Swathi and Tanvi are girls. The four students played a total of three games of chess. The games were played one after another. A player who lost a game did not participate in any more games. It was observed that:
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    ii. The throws in the last round by both Jakub Vadlejch and Vitezlav Vesely were fouls and were not considered for scoring.
    iii. After four rounds, Vitezlav Vesely was in the second position and could not improve upon his best throw in the succeeding rounds.
    iv. In the fourth round, the throw by Jakub Vadlejch was the best in that round.

    In which round did Vitezlav Vesely have his best throw?
  5. The diagram below shows a river system consisting of 7 segments, marked P, Q, R, S, T, U, and V. It splits the land into 5 zones, marked Z1, Z2, Z3, Z4, and Z5. We need to connect these zones using the least number of bridges. Out of the following options, which one is correct?
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