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Number Ranking - Intermediate Level: ranking with conditions INTERMEDIATE

Level up your number ranking skills with this comprehensive review. 20 intermediate-level problems await in Worksheet 14 of 30. Focus area: ranking with conditions. Learn position puzzles, ranking logic, sequential positions through systematic practice. Designed for mid-level learners seeking moderate complexity with mixed patterns.

📝 Worksheet 14 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Number Ranking
Worksheet 14 of 30 (46% complete)

Question 1

In a row of 40 people, Tanvi is 13th from the front and Anita is 5th from the back. How many people are between them?
Non-overlapping case (r1 + r2 ≤ total). Between B = total - (r1 + r2) = 40 - (13 + 5) = 22.
number_ranking, non_overlapping_case

Question 2

In an exam, 47 students appeared. 4 students scored the same marks and secured the 28th 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 = 28 - 1 = 27.
number_ranking, ties, same_rank

Question 3

In an exam, 117 students appeared. Rahul secured 29th rank. What is Rahul's approximate percentile?
Percentile = (Number of students below / Total) × 100 = (88/117) × 100 = 75.2%
number_ranking, percentage, percentile

Question 4

In a row of 33 people, Sia is 13th from the front and Yash is 24th from the front. How many people are between them?
Between B = (rank of second - rank of first - 1) = 24 - 13 - 1 = 10.
number_ranking, non_overlapping_case

Question 5

In a row, A and B interchange positions. After interchange, A is 9th from left and B is 17th from left. If originally A was 7th 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 6

In a row, Divya is 10th from the left and Usha is 22th from the right. They interchange their positions. Now, Divya becomes 17th from the left. What is Usha's new rank from the right?
First find total: T = 17 + 22 - 1 = 38. After interchange, Usha takes Divya's old position from left (10). So Usha's rank from right = T - 10 + 1 = 38 - 10 + 1 = 29.
number_ranking, swap_position

Question 7

In a row of 41 students, Ali's rank from the right end is 6. What is Ali's rank from the left end?
The total number of people T = 41. Rank from left L = T - R + 1 = 41 - 6 + 1 = 36. So, Ali's rank from the left is 36.
number_ranking, basic_formula

Question 8

In a row of 40 people, A is 13th from the left. After interchanging positions with B, A becomes 16th 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 16. So A's new right rank = total - new_left + 1 = 40 - 16 + 1 = 25.
number_ranking, swap_position, unknown

Question 9

In an exam, 54 students appeared. 4 students scored the same marks and secured the 23th 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 = 23 - 1 = 22.
number_ranking, ties, same_rank

Question 10

In a row of 51 people, after interchanging positions with B, A becomes 15th from the left and 37th from the right. If B was originally 10th from the right, what was A's original rank from the left?
Since B took A's original position, and B's original right rank was 10, we can find A's original left rank = total - r2_right + 1 = 51 - 10 + 1 = 9.
number_ranking, swap_position, unknown

Question 11

In a row of 59 students, A is 23th from the left and C is 38th from the left. How many students are between them?
Between = |38 - 23| - 1 = 15 - 1 = 14.
number_ranking, comparison, difference

Question 12

In a row, A is 9th from left and B is 8th from right. What is the maximum number of persons that can be in the row?
Maximum can be arbitrarily large. Example with 32 persons satisfies both conditions.
number_ranking, min_max, optimization

Question 13

In a row of 31 students, Ali's rank from the right end is 15. What is Ali's rank from the left end?
The total number of people T = 31. Rank from left L = T - R + 1 = 31 - 15 + 1 = 17. So, Ali's rank from the left is 17.
number_ranking, basic_formula

Question 14

In an exam, 95 students appeared. Rahul secured 18th rank. What is Rahul's approximate percentile?
Percentile = (Number of students below / Total) × 100 = (77/95) × 100 = 81.1%
number_ranking, percentage, percentile

Question 15

In an exam, 59 students appeared. 3 students scored the same marks and secured the 25th 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 = 25 - 1 = 24.
number_ranking, ties, same_rank

Question 16

In a row, Isha is 7th from the left and Vikram is 16th from the right. If Vikram is 15th from the left, how many people are there in the row?
Using T = L + R - 1 with Vikram's left rank 15 and right rank 16: T = 15 + 16 - 1 = 30.
number_ranking, two_sided_total

Question 17

In a row, A and B interchange positions. After interchange, A is 13th from left and B is 23th from left. If originally A was 11th from left, how many people are in the row?
Distance A moved = 2 positions. B moved same distance, so B's original position = 21. Total = B's original left position + (new_left_A - 1) = 25
number_ranking, swap_position, total_calculation

Question 18

In a class of 64 students, there are 33 boys and 31 girls. Gaurav ranks 18th from the top. There are 8 girls before him. How many boys are after his rank (towards the bottom)?
Students before him: 17. Of these, girls before = 8, so boys before = 17 - 8 = 9. Boys after = total boys - boys before - himself = 33 - 9 - 1 = 23.
number_ranking, conditional_grouping

Question 19

16 people are sitting around a circular table. Person A is at position 5 and Person B is at position 15 (when numbered clockwise from 1 to 16). What is the minimum number of people between A and B?
Clockwise distance: 10 steps, Anti-clockwise: 6 steps. Minimum people between = min(10, 6) - 1 = 5.
number_ranking, circular, arrangement

Question 20

In a class of 60 students, there are 30 boys and 30 girls. Gaurav ranks 19th from the top. There are 10 girls before him. How many boys are after his rank (towards the bottom)?
Students before him: 18. Of these, girls before = 10, so boys before = 18 - 10 = 8. Boys after = total boys - boys before - himself = 30 - 8 - 1 = 21.
number_ranking, conditional_grouping
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