Among five friends, Vasudha scored higher marks than Mohan, but lower than Rohan. Jeevan scored higher marks than Deepti, but lower than Mohan. Who among them is the highest scorer?
Rohan
Solving the Friend Score Ranking Problem
This question asks us to determine the person with the highest score among five friends based on the given relative score information. We need to analyze each piece of information and combine them to establish the overall ranking.
Analyzing the Given Score Information
We are provided with the following statements about the scores of five friends: Vasudha, Mohan, Rohan, Jeevan, and Deepti.
- Statement 1: Vasudha scored higher marks than Mohan.
- In terms of inequality: Vasudha > Mohan
- Statement 2: Vasudha scored lower marks than Rohan.
- In terms of inequality: Vasudha < Rohan
- This also means Rohan > Vasudha
- Statement 3: Jeevan scored higher marks than Deepti.
- In terms of inequality: Jeevan > Deepti
- Statement 4: Jeevan scored lower marks than Mohan.
- In terms of inequality: Jeevan < Mohan
- This also means Mohan > Jeevan
Combining the Score Rankings
Now, let's combine these pieces of information to build a complete ranking:
- From Statement 1 and Statement 2, we know Rohan is higher than Vasudha, and Vasudha is higher than Mohan.
- Rohan > Vasudha
- Vasudha > Mohan
- Combining these gives: Rohan > Vasudha > Mohan
- From Statement 3 and Statement 4, we know Mohan is higher than Jeevan, and Jeevan is higher than Deepti.
- Mohan > Jeevan
- Jeevan > Deepti
- Combining these gives: Mohan > Jeevan > Deepti
- Now, let's connect the two combined inequalities. We have Rohan > Vasudha > Mohan and Mohan > Jeevan > Deepti. The common link is Mohan.
- Rohan > Vasudha > Mohan > Jeevan > Deepti
Determining the Highest Scorer
The complete ranking from highest scorer to lowest scorer is:
Rohan > Vasudha > Mohan > Jeevan > Deepti
Looking at the ranking, the person at the top of the list, and therefore the highest scorer, is Rohan.
| Friend | Relative Score Information |
|---|---|
| Vasudha | > Mohan, < Rohan |
| Mohan | < Vasudha, > Jeevan |
| Rohan | > Vasudha |
| Jeevan | > Deepti, < Mohan |
| Deepti | < Jeevan |
Conclusion on Highest Scorer
Based on the logical deduction from the given statements, Rohan scored higher than everyone else.
Revision Table: Score Ranking Concepts
Understanding comparative relationships is key to solving ranking problems.
| Concept | Explanation | Example (from this problem) |
|---|---|---|
| Higher than (>) | Person A scored more than Person B. | Vasudha > Mohan |
| Lower than (<) | Person A scored less than Person B. | Vasudha < Rohan |
| Combining Inequalities | Linking multiple comparisons through a common element. | (Rohan > Vasudha) + (Vasudha > Mohan) → Rohan > Vasudha > Mohan |
| Identifying Extremes | Finding the person at the top (highest) or bottom (lowest) of the ranking. | Rohan is the highest in Rohan > Vasudha > Mohan > Jeevan > Deepti. |
Additional Information: Logical Reasoning and Ranking Problems
Ranking problems are common in logical reasoning sections of exams. They test your ability to deduce a sequence or order based on relative comparisons. Here are some tips for solving similar problems:
- Break down the information into simple inequalities or relationships.
- Use symbols (>, <) or diagrams (like arrows) to represent the relationships visually.
- Look for common elements between different statements to link the relationships together.
- Gradually build the complete sequence or ranking from the partial information.
- Once the full ranking is established, it's easy to identify the highest, lowest, or anyone in between.
- Always double-check your final ranking against the original statements to ensure consistency.
Practicing different types of ranking and ordering questions will help improve your logical reasoning skills.
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