Read the given information carefully and answer the question that follows. Six students P, Q, R, S, T and U,are the top six rank holders in a school. The rank of Q is between the ranks of R and S. Q is at the fourth rank. There are two students between the ranks of T and S. T is at the lowest rank among them. The rank of U is immediately above the rank of P. Who is at the fifth rank?
Ranking Clues Analysis
The problem requires determining the student at the fifth rank among six top rank holders (P, Q, R, S, T, U) using given clues.
Rank Q and T Determination
- Clue: Q is at the fourth rank. Current Ranks: __ __ __ Q __ __ (Positions: 1, 2, 3, 4, 5, 6)
- Clue: T is at the lowest rank (6th position). Current Ranks: __ __ __ Q __ T (Positions: 1, 2, 3, 4, 5, 6)
Rank S Determination
Clue: Two students between the ranks of T and S. With T at rank $6$, S must be at rank $3$ so that ranks $4$ and $5$ are between them. Rank Order: __ __ S Q __ T
Rank R Determination
Clue: The rank of Q is between the ranks of R and S. Q is rank $4$, S is rank $3$. For $4$ to be numerically between $R$'s rank and $3$, $R$'s rank must be greater than $4$. The only available rank greater than $4$ (excluding $T$'s rank $6$) is rank $5$. Thus, $R$ is at rank $5$. Rank Order: __ __ S Q R T
Ranks U and P Determination
Clue: The rank of U is immediately above the rank of P. This implies consecutive ranks $U, P$. The remaining ranks are $1$ and $2$. Therefore, U is rank $1$ and P is rank $2$.
Final Rank Order
The complete rank order is:
- Rank $1$: U
- Rank $2$: P
- Rank $3$: S
- Rank $4$: Q
- Rank $5$: R
- Rank $6$: T
Fifth Rank Result
The student holding the fifth rank is R.
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Important Questions from Ordering and Ranking
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A medical representative plans to visit each of six hospitals — A, B, C, D, E and F — exactly once during the course of one day. He is setting up his schedule for the day according to the following conditions:
i. He must visit A before B and E.
ii. He must visit B before D.
iii. The third hospital he visits must be C.
Which of the following could be the possible order in which the medical representative visits the six hospitals?Sonam is older than Renu. Komal is younger than Renu. Priya is older than Sonam. Who is the eldest of them?
