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Number Ranking - Beginner Level: order statistics BEGINNER

Master number ranking concepts through this speed drill practice set. Worksheet 6 of 30 contains 20 beginner-level problems. Deep dive into order statistics while learning order statistics, position puzzles, ranking logic. Recommended for entry-level learners aiming for foundational concepts and basic patterns.

📝 Worksheet 6 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Number Ranking
Worksheet 6 of 30 (20% complete)

Question 1

In a class of 64 students, there are 35 boys and 29 girls. Gaurav ranks 10th from the top. There are 6 girls before him. How many boys are after his rank (towards the bottom)?
Students before him: 9. Of these, girls before = 6, so boys before = 9 - 6 = 3. Boys after = total boys - boys before - himself = 35 - 3 - 1 = 31.
number_ranking, conditional_grouping

Question 2

In a row, A and B interchange positions. After interchange, A is 9th from left and B is 14th from left. If originally A was 5th from left, how many people are in the row?
Distance A moved = 4 positions. B moved same distance, so B's original position = 10. Total = B's original left position + (new_left_A - 1) = 18
number_ranking, swap_position, total_calculation

Question 3

In an exam, 42 students appeared. 3 students scored the same marks and secured the 16th 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 = 16 - 1 = 15.
number_ranking, ties, same_rank

Question 4

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

Question 5

20 people are sitting around a circular table. Person A is at position 12 and Person B is at position 16 (when numbered clockwise from 1 to 20). What is the minimum number of people between A and B?
Clockwise distance: 4 steps, Anti-clockwise: 16 steps. Minimum people between = min(4, 16) - 1 = 3.
number_ranking, circular, arrangement

Question 6

In a row, Pooja is 16th from the left and Rohit is 20th from the right. If Rohit is 26th from the left, how many people are there in the row?
Using T = L + R - 1 with Rohit's left rank 26 and right rank 20: T = 26 + 20 - 1 = 45.
number_ranking, two_sided_total

Question 7

In a class of 36 students, Ishita ranks 12th from the top. How many students are ahead of Ishita?
Students ahead = rank - 1 = 12 - 1 = 11.
number_ranking, basic_counts

Question 8

In a row of 50 students, P is 13th from the left. What is the sum of P's rank from left and from right?
Sum = Left rank + Right rank = 13 + 38 = 51.
number_ranking, comparison, difference

Question 9

In a row, A is 5th from left and B is 10th from right. What is the maximum number of persons that can be in the row?
Maximum can be arbitrarily large. Example with 40 persons satisfies both conditions.
number_ranking, min_max, optimization

Question 10

In a row, A is 5th from the left and B is 12th from the right. What is the minimum number of persons in the row?
Minimum total occurs when they overlap or one is included in the other's count: T_min = max(5, 12) = 12.
number_ranking, min_max, optimization

Question 11

In a row, A and B interchange positions. After interchange, A is 9th from left and B is 13th from left. If originally A was 5th from left, how many people are in the row?
Distance A moved = 4 positions. B moved same distance, so B's original position = 9. Total = B's original left position + (new_left_A - 1) = 17
number_ranking, swap_position, total_calculation

Question 12

In a row, Divya is 12th from the left and Ramesh is 21th from the right. They interchange their positions. Now, Divya becomes 19th 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 = 19 + 21 - 1 = 39.
number_ranking, swap_position

Question 13

In a row, Divya is 15th from the left and Ramesh is 25th from the right. They interchange their positions. Now, Divya becomes 20th from the left. What is Ramesh's new rank from the right?
First find total: T = 20 + 25 - 1 = 44. After interchange, Ramesh takes Divya's old position from left (15). So Ramesh's rank from right = T - 15 + 1 = 44 - 15 + 1 = 30.
number_ranking, swap_position

Question 14

In a queue, Kabir is 16th from the front and Om is 19th from the back. If there are 22 people in the queue, how many people are standing between Kabir and Om?
Overlapping case because r1 + r2 = 35 > total 22. Between B = (r1 + r2) - total - 2 = 35 - 22 - 2 = 11.
number_ranking, overlapping_case

Question 15

In a row, Amit is 12th from the left and Ramesh is 22th from the right. They interchange their positions. Now, Amit becomes 17th from the left. What is Ramesh's new rank from the right?
First find total: T = 17 + 22 - 1 = 38. After interchange, Ramesh takes Amit's old position from left (12). So Ramesh's rank from right = T - 12 + 1 = 38 - 12 + 1 = 27.
number_ranking, swap_position

Question 16

In a row of 52 students, Q is 33th from the left and C is 37th from the left. How many students are between them?
Between = |37 - 33| - 1 = 4 - 1 = 3.
number_ranking, comparison, difference

Question 17

In a row of 36 people, A is 15th from the left. After interchanging positions with B, A becomes 19th from the left. B originally was 14th from the right. What is A's new rank from the right?
After interchange, A's new left rank is 19. So A's new right rank = total - new_left + 1 = 36 - 19 + 1 = 18.
number_ranking, swap_position, unknown

Question 18

In a class of 31 students, Anaya ranks 28th from the top. How many students are behind Anaya?
Students behind = total - rank = 31 - 28 = 3.
number_ranking, basic_counts

Question 19

In an exam, 81 students appeared. Rahul secured 9th rank. What percentage of students are behind Rahul?
Students behind = 72. Percentage = (72/81) × 100 = 88.9%
number_ranking, percentage, percentile

Question 20

In a class of 61 students, there are 34 boys and 27 girls. Riya ranks 20th 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: 19. Of these, boys before = 7, so girls before = 19 - 7 = 12. Girls after = total girls - girls before - herself = 27 - 12 - 1 = 14.
number_ranking, conditional_grouping
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