ReasoningAbility.com

Number Ranking - Advanced Level: total persons ADVANCED

Master number ranking concepts through this hard problem set practice set. Worksheet 26 of 30 contains 20 advanced-level problems. Deep dive into total persons while learning rank comparison, order statistics, position puzzles. Recommended for advanced learners aiming for complex scenarios and multi-step problems.

📝 Worksheet 26 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Number Ranking
Worksheet 26 of 30 (86% complete)

Question 1

In a row, Divya is 12th from the left and Sneha is 18th from the right. They interchange their positions. Now, Divya becomes 17th from the left. What is Sneha's new rank from the right?
First find total: T = 17 + 18 - 1 = 34. After interchange, Sneha takes Divya's old position from left (12). So Sneha's rank from right = T - 12 + 1 = 34 - 12 + 1 = 23.
number_ranking, swap_position

Question 2

In a queue, Kabir is 16th from the front and Manav is 18th from the back. If there are 21 people in the queue, how many people are standing between Kabir and Manav?
Overlapping case because r1 + r2 = 34 > total 21. Between B = (r1 + r2) - total - 2 = 34 - 21 - 2 = 11.
number_ranking, overlapping_case

Question 3

In a class of 26 students, Sara ranks 9th from the top. How many students are ahead of Sara?
Students ahead = rank - 1 = 9 - 1 = 8.
number_ranking, basic_counts

Question 4

In a row of 54 students, A is 23th from the left and D is 28th from the left. Who is ahead of whom?
Since 23 < 28, A is ahead (to the left) of D.
number_ranking, comparison, difference

Question 5

In a row of 43 students, Simran's rank from the right end is 36. What is Simran's rank from the left end?
The total number of people T = 43. Rank from left L = T - R + 1 = 43 - 36 + 1 = 8. So, Simran's rank from the left is 8.
number_ranking, basic_formula

Question 6

In a row of 44 students, Simran's rank from the right end is 21. What is Simran's rank from the left end?
The total number of people T = 44. Rank from left L = T - R + 1 = 44 - 21 + 1 = 24. So, Simran's rank from the left is 24.
number_ranking, basic_formula

Question 7

In a row, Amit is 15th from the left and Ramesh is 24th from the right. They interchange their positions. Now, Amit becomes 20th from the left. What is Ramesh's new rank from the right?
First find total: T = 20 + 24 - 1 = 43. After interchange, Ramesh takes Amit's old position from left (15). So Ramesh's rank from right = T - 15 + 1 = 43 - 15 + 1 = 29.
number_ranking, swap_position

Question 8

In a row of 34 students, Ali's rank from the right end is 14. What is Ali's rank from the left end?
The total number of people T = 34. Rank from left L = T - R + 1 = 34 - 14 + 1 = 21. So, Ali's rank from the left is 21.
number_ranking, basic_formula

Question 9

In a class of 29 students, Ved ranks 21th from the top. How many students are behind Ved?
Students behind = total - rank = 29 - 21 = 8.
number_ranking, basic_counts

Question 10

In an exam, 86 students appeared. Neha secured 64th rank. What percentage of students are behind Neha?
Students behind = 22. Percentage = (22/86) × 100 = 25.6%
number_ranking, percentage, percentile

Question 11

In a queue, Kabir is 19th from the front and Manav is 20th from the back. If there are 28 people in the queue, how many people are standing between Kabir and Manav?
Overlapping case because r1 + r2 = 39 > total 28. Between B = (r1 + r2) - total - 2 = 39 - 28 - 2 = 9.
number_ranking, overlapping_case

Question 12

In an exam, 48 students appeared. 2 students scored the same marks and secured the 14th rank. How many students scored more than them?
Even though 2 students share the rank, the number of students who scored more is still rank - 1 = 14 - 1 = 13.
number_ranking, ties, same_rank

Question 13

In an exam, 93 students appeared. Rahul secured 81th rank. What percentage of students are behind Rahul?
Students behind = 12. Percentage = (12/93) × 100 = 12.9%
number_ranking, percentage, percentile

Question 14

23 people are sitting around a circular table. Person A is at position 2 and Person B is at position 22 (when numbered clockwise from 1 to 23). What is the minimum number of people between A and B?
Clockwise distance: 20 steps, Anti-clockwise: 3 steps. Minimum people between = min(20, 3) - 1 = 2.
number_ranking, circular, arrangement

Question 15

In an exam, 85 students appeared. Rahul secured 35th rank. What percentage of students are ahead of Rahul?
Students ahead = 34. Percentage = (34/85) × 100 = 40.0%
number_ranking, percentage, percentile

Question 16

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 4th from left, how many people are in the row?
Distance A moved = 11 positions. B moved same distance, so B's original position = 8. Total = B's original left position + (new_left_A - 1) = 30
number_ranking, swap_position, total_calculation

Question 17

In a row, A is 7th from left, B is 10th from left, and C is 17th from right. What is the minimum number of persons in the row?
Minimum total must satisfy both: at least 10 persons for B's left position, and at least 17 persons for C's right position. So T_min = max(10, 17) = 17.
number_ranking, min_max, optimization

Question 18

In a row, Amit is 13th 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 (13). So Usha's rank from right = T - 13 + 1 = 37 - 13 + 1 = 25.
number_ranking, swap_position

Question 19

In a queue, Lata is 19th from the front and Om is 19th from the back. If there are 11 people standing between them, what is the total number of people in the queue?
Overlapping case: Total T = (r1 + r2) - B - 2 = 38 - 11 - 2 = 25.
number_ranking, overlapping_case

Question 20

In a class of 24 students, Anaya ranks 6th from the top. How many students are behind Anaya?
Students behind = total - rank = 24 - 6 = 18.
number_ranking, basic_counts
Previous Worksheet Next Worksheet