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Number Ranking - Expert Level: ranking with conditions EXPERT

Strategic basic drills ★ for number ranking: 20 expert-level problems. Worksheet 29 of 30 - Focus: ranking with conditions. Develop expertise in ranking order, position determination, relative ranking with step-by-step solutions. Ideal for expert-level learners targeting challenging problems and time-bound practice.

📝 Worksheet 29 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Number Ranking
Worksheet 29 of 30 (96% complete)

Question 1

In a class of 63 students, there are 39 boys and 24 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 = 39 - 9 - 1 = 29.
number_ranking, conditional_grouping

Question 2

In a class of 65 students, there are 34 boys and 31 girls. Riya ranks 24th from the top. There are 9 boys before her in the rank list. How many girls are after her rank (towards the bottom)?
Students before her: 23. Of these, boys before = 9, so girls before = 23 - 9 = 14. Girls after = total girls - girls before - herself = 31 - 14 - 1 = 16.
number_ranking, conditional_grouping

Question 3

In a row, 10 persons are standing before A and 19 persons are standing before B. What is the minimum number of persons in the row?
If both are on the same side, the one with more persons before (B) determines minimum: Minimum total = 19 (before B) + 1 (B himself) = 20.
number_ranking, min_max, optimization

Question 4

In an exam, 40 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 5

In a row, Bina is 13th from the left and Usha is 21th from the right. They interchange their positions. Now, Bina 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 6

In a row of 53 students, A is 42th from the left and C is 45th from the left. Who is ahead of whom?
Since 42 < 45, A is ahead (to the left) of C.
number_ranking, comparison, difference

Question 7

In a class of 35 students, Sara ranks 20th from the top. How many students are behind Sara?
Students behind = total - rank = 35 - 20 = 15.
number_ranking, basic_counts

Question 8

In a row of 40 students, Priya's rank from the left end is 16. What is Priya's rank from the right end?
The total number of people T = 40. Rank from right R = T - L + 1 = 40 - 16 + 1 = 25. So, Priya's rank from the right is 25.
number_ranking, basic_formula

Question 9

In a row of 45 students, A is 28th from the left and R is 31th from the left. How many students are between them?
Between = |31 - 28| - 1 = 3 - 1 = 2.
number_ranking, comparison, difference

Question 10

22 people are sitting around a circular table. Person A is at position 17 and Person B is at position 2 (when numbered clockwise from 1 to 22). What is the minimum number of people between A and B?
Clockwise distance: 7 steps, Anti-clockwise: 15 steps. Minimum people between = min(7, 15) - 1 = 6.
number_ranking, circular, arrangement

Question 11

In a row, Divya is 13th from the left and Ramesh is 25th from the right. They interchange their positions. Now, Divya 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 + 25 - 1 = 44.
number_ranking, swap_position

Question 12

20 people are sitting around a circular table. Person A is at position 17 and Person B is at position 9 (when numbered clockwise from 1 to 20). What is the minimum number of people between A and B?
Clockwise distance: 12 steps, Anti-clockwise: 8 steps. Minimum people between = min(12, 8) - 1 = 7.
number_ranking, circular, arrangement

Question 13

In a row, Neel is 14th from the left and Sara is 11th from the right. If Sara is 20th from the left, how many people are there in the row?
Using T = L + R - 1 with Sara's left rank 20 and right rank 11: T = 20 + 11 - 1 = 30.
number_ranking, two_sided_total

Question 14

In a row, Isha is 11th from the left and Vikram is 28th from the right. If Vikram is 13th from the left, how many people are there in the row?
Using T = L + R - 1 with Vikram's left rank 13 and right rank 28: T = 13 + 28 - 1 = 40.
number_ranking, two_sided_total

Question 15

In a row, 5 persons are standing before A and 12 persons are standing before B. What is the minimum number of persons in the row?
If both are on the same side, the one with more persons before (B) determines minimum: Minimum total = 12 (before B) + 1 (B himself) = 13.
number_ranking, min_max, optimization

Question 16

In an exam, 45 students appeared. 2 students scored the same marks and secured the 14th rank. How many students scored more than them?
Even though 2 students share the rank, the number of students who scored more is still rank - 1 = 14 - 1 = 13.
number_ranking, ties, same_rank

Question 17

In a row of 59 students, P is 13th from the left and R is 19th from the left. How many students are between them?
Between = |19 - 13| - 1 = 6 - 1 = 5.
number_ranking, comparison, difference

Question 18

In a row of 41 people, A is 12th from the left. After interchanging positions with B, A becomes 16th 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 16. So A's new right rank = total - new_left + 1 = 41 - 16 + 1 = 26.
number_ranking, swap_position, unknown

Question 19

In a row of 43 people, Sia is 15th from the front and Anita is 33th from the front. How many people are between them?
Between B = (rank of second - rank of first - 1) = 33 - 15 - 1 = 17.
number_ranking, non_overlapping_case

Question 20

In a row, A is 6rd from right and B is 16th from right. What is the maximum number of persons that can be in the row?
With only these constraints, row can be arbitrarily long. Here we assume 35 as reasonable maximum.
number_ranking, min_max, optimization
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