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Number Ranking - Advanced Level: rank calculation ADVANCED

Boost your speed and accuracy with this high difficulty set 📈 worksheet. Worksheet 25 of 30 presents 20 advanced-level number ranking problems. Focus on rank calculation while practicing interchange positions, rank comparison, order statistics. Difficulty: complex scenarios and multi-step problems. Perfect for advanced test takers.

📝 Worksheet 25 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Number Ranking
Worksheet 25 of 30 (83% complete)

Question 1

In a row, A and B interchange positions. After interchange, A is 15th from left and B is 22th 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 = 19. Total = B's original left position + (new_left_A - 1) = 25
number_ranking, swap_position, total_calculation

Question 2

In a class of 65 students, there are 30 boys and 35 girls. Meera ranks 21th from the top. There are 5 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 = 5, so girls before = 20 - 5 = 15. Girls after = total girls - girls before - herself = 35 - 15 - 1 = 19.
number_ranking, conditional_grouping

Question 3

In a row of 42 people, Tanvi is 17th from the front and Dev is 37th from the front. How many people are between them?
Between B = (rank of second - rank of first - 1) = 37 - 17 - 1 = 19.
number_ranking, non_overlapping_case

Question 4

In a row of 49 people, Pooja is 9th from the left. If Rohit is 33th from the right, what is Rohit's rank from the left?
Rank from left L = T - R + 1 = 49 - 33 + 1 = 17.
number_ranking, two_sided_total

Question 5

In a row of 57 students, A is 36th from the left. What is the sum of A's rank from left and from right?
Sum = Left rank + Right rank = 36 + 22 = 58.
number_ranking, comparison, difference

Question 6

In a class of 60 students, there are 37 boys and 23 girls. Gaurav ranks 10th from the top. There are 9 girls before him. How many boys are after his rank (towards the bottom)?
Students before him: 9. Of these, girls before = 9, so boys before = 9 - 9 = 0. Boys after = total boys - boys before - himself = 37 - 0 - 1 = 36.
number_ranking, conditional_grouping

Question 7

In an exam, 118 students appeared. Priya secured 100th rank. What is Priya's approximate percentile?
Percentile = (Number of students below / Total) × 100 = (18/118) × 100 = 15.3%
number_ranking, percentage, percentile

Question 8

In a row of 46 students, B is 21th from the left and D is 27th from the left. Who is ahead of whom?
Since 21 < 27, B is ahead (to the left) of D.
number_ranking, comparison, difference

Question 9

In an exam, 59 students appeared. 3 students scored the same marks and secured the 34th 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 = 34 - 1 = 33.
number_ranking, ties, same_rank

Question 10

In a row of 39 people, A is 8th from the left. After interchanging positions with B, A becomes 11th from the left. B originally was 12th from the right. What is A's new rank from the right?
After interchange, A's new left rank is 11. So A's new right rank = total - new_left + 1 = 39 - 11 + 1 = 29.
number_ranking, swap_position, unknown

Question 11

In a row of 41 people, Meena is 17th from the left. If Karan is 17th from the right, what is Karan's rank from the left?
Rank from left L = T - R + 1 = 41 - 17 + 1 = 25.
number_ranking, two_sided_total

Question 12

22 people are sitting around a circular table. Person A is at position 15 and Person B is at position 19 (when numbered clockwise from 1 to 22). What is the minimum number of people between A and B?
Clockwise distance: 4 steps, Anti-clockwise: 18 steps. Minimum people between = min(4, 18) - 1 = 3.
number_ranking, circular, arrangement

Question 13

In an exam, 48 students appeared. 3 students scored the same marks and secured the 39th 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 = 39 - 1 = 38.
number_ranking, ties, same_rank

Question 14

In a row of 44 people, A is 14th from the left. After interchanging positions with B, A becomes 19th from the left. B originally was 16th 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 = 44 - 19 + 1 = 26.
number_ranking, swap_position, unknown

Question 15

In a row of 53 people, A is 12th from the left. After interchanging positions with B, A becomes 17th from the left. B originally was 12th from the right. What is A's new rank from the right?
After interchange, A's new left rank is 17. So A's new right rank = total - new_left + 1 = 53 - 17 + 1 = 37.
number_ranking, swap_position, unknown

Question 16

In an exam, 90 students appeared. Amit secured 79th rank. What percentage of students are behind Amit?
Students behind = 11. Percentage = (11/90) × 100 = 12.2%
number_ranking, percentage, percentile

Question 17

In a row of 44 students, Q is 9th from the left and R is 18th from the left. Who is ahead of whom?
Since 9 < 18, Q is ahead (to the left) of R.
number_ranking, comparison, difference

Question 18

In a row of 50 students, B is 35th from the left. What is the sum of B's rank from left and from right?
Sum = Left rank + Right rank = 35 + 16 = 51.
number_ranking, comparison, difference

Question 19

In a row of 38 people, Sia is 14th from the front and Anita is 10th from the back. How many people are between them?
Non-overlapping case (r1 + r2 ≤ total). Between B = total - (r1 + r2) = 38 - (14 + 10) = 14.
number_ranking, non_overlapping_case

Question 20

In a queue, Lata is 15th from the front and Om is 20th 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 = 35 - 5 - 2 = 28.
number_ranking, overlapping_case
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