P, Q, R, S and T are five friends who got different marks in an examination. Only two people scored more than P but less than S. Q scored the highest marks. T scored more marks than R. Who got the fourth highest marks?
R
Analyzing the Exam Marks Ranking Problem
This problem involves determining the relative scores of five friends based on the given clues. We need to figure out their ranking from the highest marks to the lowest marks to identify who got the fourth highest score.
Step-by-Step Ranking Deduction
Let's break down the information provided and deduce the ranking of the five friends: P, Q, R, S, and T.
- Clue 1: Q scored the highest marks.
This immediately places Q at the top position in the ranking of 5 friends.
Ranking so far: Q > _ > _ > _ > _
- Clue 2: Only two people scored more than P but less than S.
This is a crucial clue. It tells us that S scored more than P, and there are exactly two people whose scores fall between S and P. Let's represent the positions from 1st (highest) to 5th (lowest). Since Q is 1st, S cannot be 1st.
If S is 2nd, then the two people scoring less than S but more than P must be the 3rd and 4th ranked individuals. This would mean P is ranked 5th.
Let's test this possibility: Q (1st) > S (2nd) > Person A (3rd) > Person B (4th) > P (5th). The people scoring more than P (5th) are Q, S, A, B. The people scoring less than S (2nd) are A, B, P. The people scoring *both* more than P *and* less than S are A and B. There are exactly two such people, which fits the clue.
This confirms the relative positioning: Q is 1st, S is 2nd, and P is 5th.
Ranking so far: Q (1st) > S (2nd) > _ (3rd) > _ (4th) > P (5th)
- Clue 3: T scored more marks than R.
The remaining friends are T and R, and the remaining positions are 3rd and 4th. To satisfy the condition that T scored more marks than R, T must take the 3rd position and R must take the 4th position.
Ranking fully determined: Q (1st) > S (2nd) > T (3rd) > R (4th) > P (5th)
Final Ranking and Fourth Highest Score
Based on the analysis of all clues, the final ranking of the five friends from highest marks to lowest marks is:
- Q (Highest)
- S
- T
- R
- P (Lowest)
We are asked to find who got the fourth highest marks. Looking at the ranking, the person in the fourth position is R.
Conclusion on Fourth Highest Marks
Therefore, R got the fourth highest marks in the examination.
Revision Table: Marks Ranking Clues
| Clue | Implication for Ranking |
|---|---|
| Q scored highest | Q is 1st |
| Only two people scored more than P but less than S | S is 2nd, P is 5th |
| T scored more than R | T is 3rd, R is 4th (among remaining spots) |
Additional Information: Logical Reasoning in Ranking Problems
Ranking problems are common in logical reasoning. They require careful reading and step-by-step deduction to establish the correct order based on relative comparisons. Key strategies include:
- Identify the highest or lowest position if given directly.
- Use inequalities (>, <) to represent score relationships (e.g., T > R).
- Look for clues that specify the number of people between two individuals.
- Use process of elimination to fill in remaining positions with remaining individuals.
- Always re-check the final ranking against all the original clues to ensure consistency.
Solving these types of problems systematically helps avoid errors and confidently arrive at the correct answer.
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?
