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Number Ranking - Expert Level: complex ranking EXPERT

Intensive progress check 🎯 drill: 20 expert-level number ranking questions. Worksheet 30 of 30 hones your complex ranking abilities. Practice position determination, relative ranking, interchange positions under timed conditions. Best for expert-level students seeking challenging problems and time-bound practice.

📝 Worksheet 30 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Number Ranking
Worksheet 30 of 30 (100% complete)

Question 1

21 people are sitting around a circular table. Person A is at position 1 and Person B is at position 17 (when numbered clockwise from 1 to 21). What is the minimum number of people between A and B?
Clockwise distance: 16 steps, Anti-clockwise: 5 steps. Minimum people between = min(16, 5) - 1 = 4.
number_ranking, circular, arrangement

Question 2

In an exam, 91 students appeared. Rahul secured 35th rank. What percentage of students are behind Rahul?
Students behind = 56. Percentage = (56/91) × 100 = 61.5%
number_ranking, percentage, percentile

Question 3

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 9th from left, how many people are in the row?
Distance A moved = 6 positions. B moved same distance, so B's original position = 13. Total = B's original left position + (new_left_A - 1) = 25
number_ranking, swap_position, total_calculation

Question 4

In a row of 43 people, Rohan is 17th from the front and Anita is 5th from the back. How many people are between them?
Non-overlapping case (r1 + r2 ≤ total). Between B = total - (r1 + r2) = 43 - (17 + 5) = 21.
number_ranking, non_overlapping_case

Question 5

In a row, Arun is 6th from the left and Bhavya is 25th from the right. If Bhavya is 8th from the left, how many people are there in the row?
Using T = L + R - 1 with Bhavya's left rank 8 and right rank 25: T = 8 + 25 - 1 = 32.
number_ranking, two_sided_total

Question 6

In a class of 64 students, there are 38 boys and 26 girls. Riya ranks 21th from the top. There are 9 boys before her in the rank list. How many girls are after her rank (towards the bottom)?
Students before her: 20. Of these, boys before = 9, so girls before = 20 - 9 = 11. Girls after = total girls - girls before - herself = 26 - 11 - 1 = 14.
number_ranking, conditional_grouping

Question 7

In a row, Amit is 11th from the left and Usha is 20th from the right. They interchange their positions. Now, Amit becomes 18th from the left. What is Usha's new rank from the right?
First find total: T = 18 + 20 - 1 = 37. After interchange, Usha takes Amit's old position from left (11). So Usha's rank from right = T - 11 + 1 = 37 - 11 + 1 = 27.
number_ranking, swap_position

Question 8

In a class of 75 students, there are 38 boys and 37 girls. Meera ranks 22th from the top. There are 7 boys before her in the rank list. How many girls are after her rank (towards the bottom)?
Students before her: 21. Of these, boys before = 7, so girls before = 21 - 7 = 14. Girls after = total girls - girls before - herself = 37 - 14 - 1 = 22.
number_ranking, conditional_grouping

Question 9

21 people are sitting around a circular table. Person A is at position 6 and Person B is at position 21 (when numbered clockwise from 1 to 21). What is the minimum number of people between A and B?
Clockwise distance: 15 steps, Anti-clockwise: 6 steps. Minimum people between = min(15, 6) - 1 = 5.
number_ranking, circular, arrangement

Question 10

In a row of 43 students, B is 28th from the left and S is 36th from the left. How many students are between them?
Between = |36 - 28| - 1 = 8 - 1 = 7.
number_ranking, comparison, difference

Question 11

In a row of 45 students, Ali's rank from the left end is 11. What is Ali's rank from the right end?
The total number of people T = 45. Rank from right R = T - L + 1 = 45 - 11 + 1 = 35. So, Ali's rank from the right is 35.
number_ranking, basic_formula

Question 12

In a row of 50 people, A is 10th from the left. After interchanging positions with B, A becomes 15th from the left. B originally was 13th from the right. What is A's new rank from the right?
After interchange, A's new left rank is 15. So A's new right rank = total - new_left + 1 = 50 - 15 + 1 = 36.
number_ranking, swap_position, unknown

Question 13

22 people are sitting around a circular table. Person A is at position 3 and Person B is at position 14 (when numbered clockwise from 1 to 22). What is the minimum number of people between A and B?
Clockwise distance: 11 steps, Anti-clockwise: 11 steps. Minimum people between = min(11, 11) - 1 = 10.
number_ranking, circular, arrangement

Question 14

In a row of 52 students, P is 42th from the left. What is the sum of P's rank from left and from right?
Sum = Left rank + Right rank = 42 + 11 = 53.
number_ranking, comparison, difference

Question 15

In a row, Amit is 10th from the left and Sneha is 25th from the right. They interchange their positions. Now, Amit becomes 16th from the left. What is Sneha's new rank from the right?
First find total: T = 16 + 25 - 1 = 40. After interchange, Sneha takes Amit's old position from left (10). So Sneha's rank from right = T - 10 + 1 = 40 - 10 + 1 = 31.
number_ranking, swap_position

Question 16

In a class of 61 students, there are 38 boys and 23 girls. Raj ranks 18th from the top. There are 7 girls before him. How many boys are after his rank (towards the bottom)?
Students before him: 17. Of these, girls before = 7, so boys before = 17 - 7 = 10. Boys after = total boys - boys before - himself = 38 - 10 - 1 = 27.
number_ranking, conditional_grouping

Question 17

In an exam, 55 students appeared. 4 students scored the same marks and secured the 28th 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 = 28 - 1 = 27.
number_ranking, ties, same_rank

Question 18

In a class, Ishita has 14 students ahead of him and 11 students behind him. What is the total number of students in the class?
Total = ahead + behind + 1 = 14 + 11 + 1 = 26.
number_ranking, basic_counts

Question 19

In a row, A is 6th from left, B is 11th from left, and C is 15th from right. What is the minimum number of persons in the row?
Minimum total must satisfy both: at least 11 persons for B's left position, and at least 15 persons for C's right position. So T_min = max(11, 15) = 15.
number_ranking, min_max, optimization

Question 20

In a row of 37 students, Ravi's rank from the right end is 14. What is Ravi's rank from the left end?
The total number of people T = 37. Rank from left L = T - R + 1 = 37 - 14 + 1 = 24. So, Ravi's rank from the left is 24.
number_ranking, basic_formula
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