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LOGICAL REASONING: Ranking Test NOTES & PRACTICE QUESTIONS

Ranking Test in Logical Reasoning

1. What is a Ranking Test?

Ranking tests in logical reasoning involve ranking or positioning people or objects based on given conditions. These problems require analyzing relative positions in a sequence.

2. Types of Ranking Problems

  • Linear Ranking – Arranging people in a row based on height, marks, age, etc.
  • Circular Ranking – People arranged in a circle and ranked accordingly.
  • Mixed Ranking – Combining different criteria, such as height and weight.

3. Important Formulas and Tricks

Position from One End to Another:

Total = (Position from Left) + (Position from Right) - 1

Example: If a student is 5th from the left and 10th from the right in a row,
Total students = 5 + 10 - 1 = 14

Finding Position When Total is Given:

Position from Right = Total - Position from Left + 1

Example: In a line of 30 students, if a student is 8th from the left,
Position from right = 30 - 8 + 1 = 23rd

Middle Position Formula:

Middle Position = (Left Position + Right Position) / 2 (Only applicable when total is odd.)

Number of People Between Two Given Positions:

Difference = Total - (Position1 + Position2)

4. Example Questions with Solutions

👉 Example 1: In a row of 20 students, Rahul is 7th from the left. What is his position from the right?

Solution: Position from Right = 20 - 7 + 1 = 14th from right

👉 Example 2: In a queue of 40 people, A is 12th from the left and B is 15th from the right. How many people are between them?

Solution: People between A and B = 40 - (12 + 15) = 13

👉 Example 3: A is taller than B but shorter than C. D is shorter than B. Who is the tallest?

Solution: The order is: C > A > B > D, so C is the tallest.

5. Tips to Solve Faster

  • Draw a rough diagram for positioning.
  • Look for keywords (e.g., "ahead of," "behind," "between").
  • Use the given formulas to save time.
  • Practice different question types to improve speed.

Advanced Concepts in Ranking Test (CUET PG Logical Reasoning)

1. Advanced Ranking Concepts & Tricks

1.1 Ranking in Different Groups

Sometimes, rankings are given separately for different groups (e.g., Boys & Girls in a class). You may need to find the overall rank.

Example: In a class of 50 students, Amit is 15th among boys and 21st overall. How many girls are there?

Solution: Girls before Amit = 21 - 15 = 6. Total girls = 50 - 30 = 20.

1.2 Overlapping Ranks (Two Ends Comparison)

Example: In a row of 40 students, A is 12th from the left, and B is 30th from the right. How many students are between them?

Solution: Overlap = (12 + 30) - 40 = 2 people overlap.

1.3 Median / Middle Position in an Ordered List

For odd numbers: Middle Position = (N + 1) / 2

For even numbers: N/2, (N/2) + 1

Example: In a class of 51 students, median = (51+1)/2 = 26th.

1.4 Finding the Lowest or Highest Rank in Different Cases

Minimum Rank = Smaller of the Two Given Ranks

Maximum Rank = Total - Smaller Rank + 1

Example: In a test of 100 students, Riya is ranked 7th from the top and 88th from the bottom. Mistake detected – correct bottom rank should be 94th.

1.5 Ranking in Circular Arrangements

Opposite persons in an even circle = Total/2

Example: In a circular arrangement of 10 people, Ravi is 3rd to the left of Aman. His position from Aman’s right?

Solution: Right position = (10 - 1) - 3 = 6th from right.

2. Advanced Practice Questions

Q1. In a group of 60 students, P is ranked 16th from the top and Q is ranked 45th from the bottom. How many students are between them?

Q2. Ramesh is 8th from the left and Suresh is 11th from the right in a row of 20 students. How many students are between them?

Q3. In a circular arrangement of 12 people, A is 4th to the left of B. What is A’s position from B’s right?

Q4. Among 100 students, Akash is 18th from the top and his friend is 76th from the bottom. How many students are there between them?

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