P, Q, R, S, T, U and V are seven friends who scored different marks in a test. Scores of only two people lies between the scores of S and P with score of P greater than S. R scored the highest marks. T scored more than Q. U and V scored second least and the least marks respectively. Who scored the fourth highest marks?
Q
Solving the Test Score Ranking Puzzle
This question asks us to determine the person who scored the fourth highest marks based on a series of clues about the relative scores of seven friends: P, Q, R, S, T, U, and V. All seven friends scored different marks.
Analyzing the Given Information
Let's break down the information provided:
- There are 7 friends with distinct scores.
- Scores between S and P: Exactly two people scored marks between S and P.
- P scored higher than S (P > S).
- R scored the highest marks.
- T scored more than Q (T > Q).
- U scored the second least marks.
- V scored the least marks.
Deducing the Score Ranking
We can represent the ranking from highest (1st) to lowest (7th):
1st > 2nd > 3rd > 4th > 5th > 6th > 7th
From the clues:
- R scored the highest marks, so R is 1st.
- V scored the least marks, so V is 7th.
- U scored the second least marks, so U is 6th.
Let's place these known friends in the ranking:
R (1st) > \_ (2nd) > \_ (3rd) > \_ (4th) > \_ (5th) > U (6th) > V (7th)
We are left with positions 2nd, 3rd, 4th, and 5th to fill with the remaining friends: P, Q, S, and T.
The clue "Scores of only two people lies between the scores of S and P with score of P greater than S" means there are exactly two people between P and S in the ranking. This can be represented as P > \_ > \_ > S. This structure requires 4 consecutive positions for P, two people in between, and S.
Looking at the available positions (2nd, 3rd, 4th, 5th), the only way to fit a block of 4 consecutive positions starting with P and ending with S (with two in between) is if P occupies the 2nd position and S occupies the 5th position. Let's check if this works:
R (1st) > P (2nd) > \_ (3rd) > \_ (4th) > S (5th) > U (6th) > V (7th)
This arrangement places exactly two people (at 3rd and 4th positions) between P and S, and P is indeed higher than S. This works perfectly with the available slots.
The remaining friends are T and Q, and the remaining positions are 3rd and 4th. The clue "T scored more than Q" (T > Q) means T must be in the higher position (3rd) and Q must be in the lower position (4th) between these two remaining spots.
Placing T and Q in the remaining slots:
R (1st) > P (2nd) > T (3rd) > Q (4th) > S (5th) > U (6th) > V (7th)
Final Ranking
The complete ranking from highest to lowest is:
| Rank | Friend |
|---|---|
| 1st (Highest) | R |
| 2nd | P |
| 3rd | T |
| 4th | Q |
| 5th | S |
| 6th | U |
| 7th (Least) | V |
Identifying the Fourth Highest Scorer
Based on the final ranking, the person who scored the fourth highest marks is Q.
Revision Table: Key Information Review
| Clue | Deduction |
|---|---|
| R scored highest | R is 1st |
| V scored least | V is 7th |
| U scored second least | U is 6th |
| P > S, 2 people between P and S | P must be 2nd, S must be 5th (given available slots) |
| T > Q | T is 3rd, Q is 4th (given remaining slots) |
Additional Information: Ranking and Ordering Concepts
Ranking questions are common in logical reasoning and aptitude tests. They require careful analysis of comparative statements to establish a definitive order or sequence. Here are some key concepts:
- Relative Positioning: Clues often describe positions relative to others (e.g., "more than", "less than", "between").
- Fixed Positions: Some clues might fix a person or item to a specific absolute position (e.g., "highest", "lowest", "first", "last").
- Constraints: Certain conditions limit possible arrangements (e.g., "exactly two people between X and Y"). These constraints are crucial for eliminating possibilities.
- Step-by-Step Deduction: Start with the most definitive clues (like highest or lowest) and gradually fill in the positions using relative clues and constraints.
- Elimination: As you place people or items, eliminate those positions and individuals from further consideration.
Solving these puzzles involves building a logical structure piece by piece until the full order is revealed. Always double-check the final arrangement against all the original clues.
Important Questions from Order Based
Prakash, Qadir, Ramesh, Saurabh and Tariq are friends. Ramesh is taller than Qadir but shorter than Saurabh. Prakash is the shortest, and Tariq is taller than Saurabh. Who is the tallest among them?
Five friends, H, I, J, K and L, are top rank holders of a school. The rank of H is just above the rank of K and just below the rank of L. I is at the top rank and J is not at the lowest rank. Who among them is at the lowest rank?
Pinky is taller than Priya but shorter than Reena. Riya is taller than Sheela, who is shorter than Priya. Reena is taller than Riya, who is taller than Pinky. Who is the shortest?
Sonu is taller than Yatendra, Amit is taller than Sonu. Subhash is taller than Amit. Sattu is tallest of all. If they stand according to their height who will be exactly in the middle?
R is taller than T. Both P and Q are taller than S, whose height is between P and T. If S is taller than T, who is the shortest?
