Question 1
In a row, Neel is 19th from the left and Sara is 22th from the right. If Sara is 27th from the left, how many people are there in the row?
Using T = L + R - 1 with Sara's left rank 27 and right rank 22: T = 27 + 22 - 1 = 48.
Number Ranking - Beginner Level: interchange positions BEGINNER
Level up your number ranking skills with this entry level practice. 20 beginner-level problems await in Worksheet 4 of 30. Focus area: interchange positions. Learn interchange positions, rank comparison, order statistics through systematic practice. Designed for entry-level learners seeking foundational concepts and basic patterns.
What you'll learn in this worksheet:
- Tackle exam-style interchange positions questions with confidence
- Learn time-saving tricks for rank comparison problems
- Practice entry level practice techniques for better scores
- Identify and avoid common mistakes in order statistics
- Build exam temperament through interchange positions practice
Your progress through Number Ranking
Worksheet 4 of 30 (13% complete)
Question 2
In a queue, Kabir is 19th from the front and Nisha is 18th from the back. If there are 5 people standing between them, what is the total number of people in the queue?
Overlapping case: Total T = (r1 + r2) - B - 2 = 37 - 5 - 2 = 30.
Question 3
In a row of 50 people, Arun is 17th from the left. If Bhavya is 29th from the right, what is Bhavya's rank from the left?
Rank from left L = T - R + 1 = 50 - 29 + 1 = 22.
Question 4
In a row of 37 students, Ravi's rank from the left end is 30. What is Ravi's rank from the right end?
The total number of people T = 37. Rank from right R = T - L + 1 = 37 - 30 + 1 = 8. So, Ravi's rank from the right is 8.
Question 5
In a row, A and B interchange positions. After interchange, A is 14th from left and B is 17th from left. If originally A was 5th from left, how many people are in the row?
Distance A moved = 9 positions. B moved same distance, so B's original position = 8. Total = B's original left position + (new_left_A - 1) = 26
Question 6
In an exam, 114 students appeared. Amit secured 64th rank. What is Amit's approximate percentile?
Percentile = (Number of students below / Total) × 100 = (50/114) × 100 = 43.9%
Question 7
22 people are sitting around a circular table. Person A is at position 18 and Person B is at position 10 (when numbered clockwise from 1 to 22). What is the minimum number of people between A and B?
Clockwise distance: 14 steps, Anti-clockwise: 8 steps. Minimum people between = min(14, 8) - 1 = 7.
Question 8
In a row of 40 students, Simran's rank from the right end is 13. What is Simran's rank from the left end?
The total number of people T = 40. Rank from left L = T - R + 1 = 40 - 13 + 1 = 28. So, Simran's rank from the left is 28.
Question 9
In a row, Chetan is 14th from the left and Usha is 20th from the right. They interchange their positions. Now, Chetan becomes 20th from the left. What is Usha's new rank from the right?
First find total: T = 20 + 20 - 1 = 39. After interchange, Usha takes Chetan's old position from left (14). So Usha's rank from right = T - 14 + 1 = 39 - 14 + 1 = 26.
Question 10
21 people are sitting around a circular table. Person A is at position 10 and Person B is at position 14 (when numbered clockwise from 1 to 21). What is the minimum number of people between A and B?
Clockwise distance: 4 steps, Anti-clockwise: 17 steps. Minimum people between = min(4, 17) - 1 = 3.
Question 11
In a row, A and B interchange positions. After interchange, A is 15th from left and B is 18th from left. If originally A was 12th from left, how many people are in the row?
Distance A moved = 3 positions. B moved same distance, so B's original position = 15. Total = B's original left position + (new_left_A - 1) = 21
Question 12
In a row, Neel is 18th from the left and Sara is 18th from the right. If Sara is 23th from the left, how many people are there in the row?
Using T = L + R - 1 with Sara's left rank 23 and right rank 18: T = 23 + 18 - 1 = 40.
Question 13
In a row of 50 students, A is 42th from the left. What is the sum of A's rank from left and from right?
Sum = Left rank + Right rank = 42 + 9 = 51.
Question 14
In a row of 44 students, B is 8th from the left and C is 13th from the left. How many students are between them?
Between = |13 - 8| - 1 = 5 - 1 = 4.
Question 15
In a row, A and B interchange positions. After interchange, A is 15th from left and B is 19th from left. If originally A was 13th from left, how many people are in the row?
Distance A moved = 2 positions. B moved same distance, so B's original position = 17. Total = B's original left position + (new_left_A - 1) = 21
Question 16
In a row of 26 students, Neha's rank from the right end is 8. What is Neha's rank from the left end?
The total number of people T = 26. Rank from left L = T - R + 1 = 26 - 8 + 1 = 19. So, Neha's rank from the left is 19.
Question 17
In a row, Amit is 12th from the left and Sneha is 19th from the right. They interchange their positions. Now, Amit becomes 18th from the left. What is the total number of people in the row?
When positions are interchanged, using one person's rank from the left and the other's rank from the right at the interchanged positions: T = L + R - 1 = 18 + 19 - 1 = 36.
Question 18
In a row of 48 students, A is 21th from the left. What is the sum of A's rank from left and from right?
Sum = Left rank + Right rank = 21 + 28 = 49.
Question 19
In a row of 43 people, Tanvi is 17th from the front and Anita is 15th from the back. How many people are between them?
Non-overlapping case (r1 + r2 ≤ total). Between B = total - (r1 + r2) = 43 - (17 + 15) = 11.
Question 20
In an exam, 42 students appeared. 4 students scored the same marks and secured the 33th rank. How many students scored more than them?
Even though 4 students share the rank, the number of students who scored more is still rank - 1 = 33 - 1 = 32.
📈 Building expertise: Worksheet 4 of 30 in Number Ranking.