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Number Ranking - Expert Level: top-bottom ranks EXPERT

Comprehensive self assessment worksheet covering 20 expert-level number ranking problems. Worksheet 28 of 30 emphasizes top-bottom ranks. Master position puzzles, ranking logic, sequential positions through detailed explanations. Difficulty: challenging problems and time-bound practice. Tailored for expert-level preparation.

📝 Worksheet 28 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Number Ranking
Worksheet 28 of 30 (93% complete)

Question 1

17 people are sitting around a circular table. Person A is at position 14 and Person B is at position 16 (when numbered clockwise from 1 to 17). What is the minimum number of people between A and B?
Clockwise distance: 2 steps, Anti-clockwise: 15 steps. Minimum people between = min(2, 15) - 1 = 1.
number_ranking, circular, arrangement

Question 2

In a row, Amit is 13th from the left and Tarun is 23th from the right. They interchange their positions. Now, Amit becomes 20th 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 = 20 + 23 - 1 = 42.
number_ranking, swap_position

Question 3

In a row of 46 students, B is 25th from the left. What is the sum of B's rank from left and from right?
Sum = Left rank + Right rank = 25 + 22 = 47.
number_ranking, comparison, difference

Question 4

In a queue, Kabir is 16th from the front and Manav is 23th 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 = 39 - 11 - 2 = 26.
number_ranking, overlapping_case

Question 5

In a row, Amit is 15th from the left and Usha is 25th from the right. They interchange their positions. Now, Amit becomes 21th from the left. What is Usha's new rank from the right?
First find total: T = 21 + 25 - 1 = 45. After interchange, Usha takes Amit's old position from left (15). So Usha's rank from right = T - 15 + 1 = 45 - 15 + 1 = 31.
number_ranking, swap_position

Question 6

In a row of 46 people, Meena is 10th from the left. If Karan is 34th from the right, what is Karan's rank from the left?
Rank from left L = T - R + 1 = 46 - 34 + 1 = 13.
number_ranking, two_sided_total

Question 7

In a row of 40 people, A is 14th 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 = 40 - 17 + 1 = 24.
number_ranking, swap_position, unknown

Question 8

In a row, Arun is 16th from the left and Bhavya is 14th from the right. If Bhavya is 24th from the left, how many people are there in the row?
Using T = L + R - 1 with Bhavya's left rank 24 and right rank 14: T = 24 + 14 - 1 = 37.
number_ranking, two_sided_total

Question 9

In a row, Divya is 11th from the left and Tarun is 18th from the right. They interchange their positions. Now, Divya becomes 17th 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 = 17 + 18 - 1 = 34.
number_ranking, swap_position

Question 10

In a row, A and B interchange positions. After interchange, A is 10th from left and B is 17th from left. If originally A was 4th from left, how many people are in the row?
Distance A moved = 6 positions. B moved same distance, so B's original position = 11. Total = B's original left position + (new_left_A - 1) = 23
number_ranking, swap_position, total_calculation

Question 11

In a row, A and B interchange positions. After interchange, A is 11th from left and B is 17th from left. If originally A was 9th from left, how many people are in the row?
Distance A moved = 2 positions. B moved same distance, so B's original position = 15. Total = B's original left position + (new_left_A - 1) = 19
number_ranking, swap_position, total_calculation

Question 12

In a row of 57 students, A is 48th from the left. What is the sum of A's rank from left and from right?
Sum = Left rank + Right rank = 48 + 10 = 58.
number_ranking, comparison, difference

Question 13

In a row, A and B interchange positions. After interchange, A is 15th from left and B is 21th 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 = 18. Total = B's original left position + (new_left_A - 1) = 24
number_ranking, swap_position, total_calculation

Question 14

In a class of 80 students, there are 30 boys and 50 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 = 50 - 15 - 1 = 34.
number_ranking, conditional_grouping

Question 15

In a row of 40 students, A is 19th from the left. What is the sum of A's rank from left and from right?
Sum = Left rank + Right rank = 19 + 22 = 41.
number_ranking, comparison, difference

Question 16

In a row, A is 6rd from left and B is 18th 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 28 as reasonable maximum.
number_ranking, min_max, optimization

Question 17

In an exam, 84 students appeared. Neha secured 21th rank. What percentage of students are ahead of Neha?
Students ahead = 20. Percentage = (20/84) × 100 = 23.8%
number_ranking, percentage, percentile

Question 18

In a class of 77 students, there are 33 boys and 44 girls. Meera ranks 16th from the top. There are 6 boys before her in the rank list. How many girls are after her rank (towards the bottom)?
Students before her: 15. Of these, boys before = 6, so girls before = 15 - 6 = 9. Girls after = total girls - girls before - herself = 44 - 9 - 1 = 34.
number_ranking, conditional_grouping

Question 19

In a class of 73 students, there are 30 boys and 43 girls. Gaurav ranks 17th from the top. There are 10 girls before him. How many boys are after his rank (towards the bottom)?
Students before him: 16. Of these, girls before = 10, so boys before = 16 - 10 = 6. Boys after = total boys - boys before - himself = 30 - 6 - 1 = 23.
number_ranking, conditional_grouping

Question 20

In a class of 70 students, there are 36 boys and 34 girls. Gaurav ranks 12th from the top. There are 8 girls before him. How many boys are after his rank (towards the bottom)?
Students before him: 11. Of these, girls before = 8, so boys before = 11 - 8 = 3. Boys after = total boys - boys before - himself = 36 - 3 - 1 = 32.
number_ranking, conditional_grouping
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