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Number Ranking - Intermediate Level: ranking order INTERMEDIATE

Master number ranking concepts through this excellence pursuit practice set. Worksheet 16 of 30 contains 20 intermediate-level problems. Deep dive into ranking order while learning position determination, relative ranking, interchange positions. Recommended for mid-level learners aiming for moderate complexity with mixed patterns.

📝 Worksheet 16 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Number Ranking
Worksheet 16 of 30 (53% complete)

Question 1

In a row, A and B interchange positions. After interchange, A is 15th from left and B is 25th 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 = 14. Total = B's original left position + (new_left_A - 1) = 36
number_ranking, swap_position, total_calculation

Question 2

In an exam, 50 students appeared. 4 students scored the same marks and secured the 27th 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 = 27 - 1 = 26.
number_ranking, ties, same_rank

Question 3

In a row of 39 people, A is 14th from the left. After interchanging positions with B, A becomes 20th from the left. B originally was 10th from the right. What is A's new rank from the right?
After interchange, A's new left rank is 20. So A's new right rank = total - new_left + 1 = 39 - 20 + 1 = 20.
number_ranking, swap_position, unknown

Question 4

In a row of 34 students, Karan's rank from the right end is 18. What is Karan's rank from the left end?
The total number of people T = 34. Rank from left L = T - R + 1 = 34 - 18 + 1 = 17. So, Karan's rank from the left is 17.
number_ranking, basic_formula

Question 5

In a queue, Kabir is 18th from the front and Manav is 20th from the back. If there are 7 people standing between them, what is the total number of people in the queue?
Overlapping case: Total T = (r1 + r2) - B - 2 = 38 - 7 - 2 = 29.
number_ranking, overlapping_case

Question 6

In a queue, Kabir is 19th 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 = 39 - 5 - 2 = 32.
number_ranking, overlapping_case

Question 7

In a row, A is 5rd from left and B is 16th from left. What is the maximum number of persons that can be in the row?
With only these constraints, row can be arbitrarily long. But typically, maximum is not bounded. Here we assume 27 as reasonable maximum.
number_ranking, min_max, optimization

Question 8

In an exam, 54 students appeared. 3 students scored the same marks and secured the 11th 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 = 11 - 1 = 10.
number_ranking, ties, same_rank

Question 9

In an exam, 110 students appeared. Rahul secured 81th rank. What percentage of students are behind Rahul?
Students behind = 29. Percentage = (29/110) × 100 = 26.4%
number_ranking, percentage, percentile

Question 10

In a row, Isha is 22th from the left and Vikram is 21th from the right. If Vikram is 26th from the left, how many people are there in the row?
Using T = L + R - 1 with Vikram's left rank 26 and right rank 21: T = 26 + 21 - 1 = 46.
number_ranking, two_sided_total

Question 11

In a row of 49 people, Sia is 15th 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 - 15 - 1 = 21.
number_ranking, non_overlapping_case

Question 12

In a row of 44 people, A is 9th from the left. After interchanging positions with B, A becomes 13th 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 13. So A's new right rank = total - new_left + 1 = 44 - 13 + 1 = 32.
number_ranking, swap_position, unknown

Question 13

In a row of 42 students, Karan's rank from the left end is 8. What is Karan's rank from the right end?
The total number of people T = 42. Rank from right R = T - L + 1 = 42 - 8 + 1 = 35. So, Karan's rank from the right is 35.
number_ranking, basic_formula

Question 14

In an exam, 87 students appeared. Neha secured 70th rank. What is Neha's approximate percentile?
Percentile = (Number of students below / Total) × 100 = (17/87) × 100 = 19.5%
number_ranking, percentage, percentile

Question 15

In a class of 32 students, Ved ranks 26th from the top. How many students are ahead of Ved?
Students ahead = rank - 1 = 26 - 1 = 25.
number_ranking, basic_counts

Question 16

In an exam, 44 students appeared. 4 students scored the same marks and secured the 36th 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 = 36 - 1 = 35.
number_ranking, ties, same_rank

Question 17

In a row of 33 people, Tanvi is 14th from the front and Yash is 22th from the front. How many people are between them?
Between B = (rank of second - rank of first - 1) = 22 - 14 - 1 = 7.
number_ranking, non_overlapping_case

Question 18

In a class of 70 students, there are 31 boys and 39 girls. Raj ranks 19th from the top. There are 9 girls before him. How many boys are after his rank (towards the bottom)?
Students before him: 18. Of these, girls before = 9, so boys before = 18 - 9 = 9. Boys after = total boys - boys before - himself = 31 - 9 - 1 = 21.
number_ranking, conditional_grouping

Question 19

In an exam, 117 students appeared. Priya secured 109th rank. What percentage of students are ahead of Priya?
Students ahead = 108. Percentage = (108/117) × 100 = 92.3%
number_ranking, percentage, percentile

Question 20

22 people are sitting around a circular table. Person A is at position 2 and Person B is at position 8 (when numbered clockwise from 1 to 22). What is the minimum number of people between A and B?
Clockwise distance: 6 steps, Anti-clockwise: 16 steps. Minimum people between = min(6, 16) - 1 = 5.
number_ranking, circular, arrangement
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