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Number Ranking - Intermediate-Advanced Level: order statistics INTERMEDIATE-ADVANCED

This fundamentals focus worksheet contains 20 intermediate-advanced-level number ranking problems. Worksheet 21 of 30 focuses on order statistics. Practice position puzzles, ranking logic, sequential positions with our step-by-step solutions. Difficulty: advanced concepts with increasing complexity. Recommended for advanced developing learners.

📝 Worksheet 21 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

What you'll learn in this worksheet:
Your progress through Number Ranking
Worksheet 21 of 30 (70% complete)

Question 1

In a row of 54 people, A is 13th from the left. After interchanging positions with B, A becomes 16th from the left. B originally was 11th from the right. What is A's new rank from the right?
After interchange, A's new left rank is 16. So A's new right rank = total - new_left + 1 = 54 - 16 + 1 = 39.
number_ranking, swap_position, unknown

Question 2

In a row of 49 people, A is 8th from the left. After interchanging positions with B, A becomes 13th from the left. B originally was 17th from the right. What is A's new rank from the right?
After interchange, A's new left rank is 13. So A's new right rank = total - new_left + 1 = 49 - 13 + 1 = 37.
number_ranking, swap_position, unknown

Question 3

In a row of 59 students, Q is 20th from the left. What is the sum of Q's rank from left and from right?
Sum = Left rank + Right rank = 20 + 40 = 60.
number_ranking, comparison, difference

Question 4

In a row of 51 students, B is 37th from the left. What is the sum of B's rank from left and from right?
Sum = Left rank + Right rank = 37 + 15 = 52.
number_ranking, comparison, difference

Question 5

In an exam, 111 students appeared. Rahul secured 6th rank. What percentage of students are ahead of Rahul?
Students ahead = 5. Percentage = (5/111) × 100 = 4.5%
number_ranking, percentage, percentile

Question 6

In an exam, 114 students appeared. Amit secured 37th rank. What percentage of students are behind Amit?
Students behind = 77. Percentage = (77/114) × 100 = 67.5%
number_ranking, percentage, percentile

Question 7

In a row, A is 7th from left, B is 8th from left, and C is 14th from right. What is the minimum number of persons in the row?
Minimum total must satisfy both: at least 8 persons for B's left position, and at least 14 persons for C's right position. So T_min = max(8, 14) = 14.
number_ranking, min_max, optimization

Question 8

In a class of 60 students, there are 38 boys and 22 girls. Riya ranks 24th from the top. There are 8 boys before her in the rank list. How many girls are after her rank (towards the bottom)?
Students before her: 23. Of these, boys before = 8, so girls before = 23 - 8 = 15. Girls after = total girls - girls before - herself = 22 - 15 - 1 = 6.
number_ranking, conditional_grouping

Question 9

In a row of 39 students, Ravi's rank from the right end is 7. What is Ravi's rank from the left end?
The total number of people T = 39. Rank from left L = T - R + 1 = 39 - 7 + 1 = 33. So, Ravi's rank from the left is 33.
number_ranking, basic_formula

Question 10

In a class, Ishita has 11 students ahead of him and 11 students behind him. What is the total number of students in the class?
Total = ahead + behind + 1 = 11 + 11 + 1 = 23.
number_ranking, basic_counts

Question 11

In a row of 42 students, Ali's rank from the right end is 22. What is Ali's rank from the left end?
The total number of people T = 42. Rank from left L = T - R + 1 = 42 - 22 + 1 = 21. So, Ali's rank from the left is 21.
number_ranking, basic_formula

Question 12

16 people are sitting around a circular table. Person A is at position 13 and Person B is at position 10 (when numbered clockwise from 1 to 16). What is the minimum number of people between A and B?
Clockwise distance: 13 steps, Anti-clockwise: 3 steps. Minimum people between = min(13, 3) - 1 = 2.
number_ranking, circular, arrangement

Question 13

In an exam, 40 students appeared. 3 students scored the same marks and secured the 35th rank. How many students scored more than them?
Even though 3 students share the rank, the number of students who scored more is still rank - 1 = 35 - 1 = 34.
number_ranking, ties, same_rank

Question 14

In a row of 34 people, Neel is 5th from the left. If Sara is 21th from the right, what is Sara's rank from the left?
Rank from left L = T - R + 1 = 34 - 21 + 1 = 14.
number_ranking, two_sided_total

Question 15

In an exam, 43 students appeared. 2 students scored the same marks and secured the 32th 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 = 32 - 1 = 31.
number_ranking, ties, same_rank

Question 16

25 people are sitting around a circular table. Person A is at position 17 and Person B is at position 11 (when numbered clockwise from 1 to 25). What is the minimum number of people between A and B?
Clockwise distance: 19 steps, Anti-clockwise: 6 steps. Minimum people between = min(19, 6) - 1 = 5.
number_ranking, circular, arrangement

Question 17

In an exam, 91 students appeared. Priya secured 28th rank. What percentage of students are behind Priya?
Students behind = 63. Percentage = (63/91) × 100 = 69.2%
number_ranking, percentage, percentile

Question 18

In a row of 42 people, Tanvi is 8th from the front and Anita is 36th from the front. How many people are between them?
Between B = (rank of second - rank of first - 1) = 36 - 8 - 1 = 27.
number_ranking, non_overlapping_case

Question 19

In a row, Chetan is 15th from the left and Ramesh is 18th from the right. They interchange their positions. Now, Chetan becomes 21th 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 = 21 + 18 - 1 = 38.
number_ranking, swap_position

Question 20

In a class of 37 students, Ved ranks 34th from the top. How many students are behind Ved?
Students behind = total - rank = 37 - 34 = 3.
number_ranking, basic_counts
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