Marks obtained by the seven students of a tuition class, P, Q, R, S, T, U and V, are mentioned. P scored second highest marks in the class. Marks scored by V were more than only one of the persons. S's score was more than T but less than P. Three people got higher than T and three got lesser than T. Neither R nor Q received the lowest marks. Given that no two students have the same marks, whose marks were the lowest?
U
Understanding the Student Marks Ranking Puzzle
This question is a logical reasoning puzzle that requires us to determine the relative ranking of seven students based on the given clues about their marks. The goal is to find the student who scored the lowest marks among the seven.
Analyzing the Clues for Marks Ranking
Let's break down the information provided about the marks obtained by students P, Q, R, S, T, U, and V. There are seven distinct positions from highest marks (Rank 1) to lowest marks (Rank 7).
- "P scored second highest marks in the class." <br>This means P is at Rank 2.
- "Marks scored by V were more than only one of the persons." <br>This implies V is ranked just above the person with the lowest marks. So, V is at Rank 6.
- "Three people got higher than T and three got lesser than T." <br>In a group of seven, the person with three people higher and three people lower is exactly in the middle, which is Rank 4. So, T is at Rank 4.
- "S's score was more than T but less than P." <br>We know P is Rank 2 and T is Rank 4. S's rank must be between 2 and 4. The only rank available between 2 and 4 is Rank 3. So, S is at Rank 3.
Step-by-Step Deduction of Marks Ranking
Let's consolidate the ranks we have determined so far:
- Rank 1: ?
- Rank 2: P
- Rank 3: S
- Rank 4: T
- Rank 5: ?
- Rank 6: V
- Rank 7: ?
The students remaining are Q, R, and U. The ranks remaining to be filled are Rank 1, Rank 5, and Rank 7.
Now consider the last clue:
- "Neither R nor Q received the lowest marks." <br>The lowest marks correspond to Rank 7. This clue tells us that neither R nor Q is at Rank 7.
Since Q and R cannot be at Rank 7, the only remaining student, U, must be at Rank 7 (the lowest position).
Determining the Final Marks Ranking
Based on all the clues and deductions, the complete ranking can be determined. Although the exact positions of Q and R at Ranks 1 and 5 cannot be uniquely identified, it does not affect the identification of the lowest scorer.
| Rank | Student |
|---|---|
| ${1^{st}}$ (Highest) | Q or R |
| ${2^{nd}}$ | P |
| ${3^{rd}}$ | S |
| ${4^{th}}$ | T |
| ${5^{th}}$ | R or Q |
| ${6^{th}}$ | V |
| ${7^{th}}$ (Lowest) | U |
From the table, it is clear that the student at Rank 7, who scored the lowest marks, is U.
Evaluation of Options
- S: S is at Rank 3, not the lowest.
- U: U is at Rank 7, which is the lowest.
- T: T is at Rank 4, not the lowest.
- V: V is at Rank 6, not the lowest.
Therefore, based on the logical deduction from the given clues, U's marks were the lowest.
Revision Table: Key Deductions
| Clue | Deduction | Rank Assigned |
|---|---|---|
| P scored second highest | P is Rank 2 | P: ${2^{nd}}$ |
| V's score more than only one person | V is Rank 6 | V: ${6^{th}}$ |
| Three higher than T, three lower than T | T is Rank 4 | T: ${4^{th}}$ |
| S's score > T and < P | S is between Rank 2 and 4 ∴ Rank 3 | S: ${3^{rd}}$ |
| Neither R nor Q lowest (Rank 7) | Remaining U must be Rank 7 | U: ${7^{th}}$ |
Additional Information: Logical Reasoning Puzzles
Logical reasoning puzzles often involve deducing relationships or orderings from a set of clues. Success typically relies on:
- Reading each clue carefully.
- Identifying direct information (like P is 2nd).
- Identifying relative information (like S is between P and T).
- Using elimination to narrow down possibilities.
- Systematically building the final arrangement or conclusion.
- Checking the final arrangement against all original clues to ensure consistency.
These types of questions are common in competitive exams and tests of analytical ability. Practice with different types of ranking and arrangement puzzles can improve problem-solving speed and accuracy.
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?
