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Number Ranking - Advanced Level: sequential positions ADVANCED

Level up your number ranking skills with this challenging mix. 20 advanced-level problems await in Worksheet 24 of 30. Focus area: sequential positions. Learn relative ranking, interchange positions, rank comparison through systematic practice. Designed for advanced learners seeking complex scenarios and multi-step problems.

📝 Worksheet 24 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Number Ranking
Worksheet 24 of 30 (80% complete)

Question 1

In a row, Bina is 11th from the left and Ramesh is 19th from the right. They interchange their positions. Now, Bina becomes 18th 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 = 18 + 19 - 1 = 36.
number_ranking, swap_position

Question 2

23 people are sitting around a circular table. Person A is at position 11 and Person B is at position 7 (when numbered clockwise from 1 to 23). What is the minimum number of people between A and B?
Clockwise distance: 19 steps, Anti-clockwise: 4 steps. Minimum people between = min(19, 4) - 1 = 3.
number_ranking, circular, arrangement

Question 3

In a row, A is 6th from left, B is 11th from left, and C is 16th from right. What is the minimum number of persons in the row?
Minimum total must satisfy both: at least 11 persons for B's left position, and at least 16 persons for C's right position. So T_min = max(11, 16) = 16.
number_ranking, min_max, optimization

Question 4

24 people are sitting around a circular table. Person A is at position 9 and Person B is at position 10 (when numbered clockwise from 1 to 24). What is the minimum number of people between A and B?
Clockwise distance: 1 steps, Anti-clockwise: 23 steps. Minimum people between = min(1, 23) - 1 = 0.
number_ranking, circular, arrangement

Question 5

In a row, Neel is 14th from the left and Sara is 23th 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 23: T = 20 + 23 - 1 = 42.
number_ranking, two_sided_total

Question 6

In a row, Meena is 13th from the left and Karan is 17th from the right. If Karan is 19th from the left, how many people are there in the row?
Using T = L + R - 1 with Karan's left rank 19 and right rank 17: T = 19 + 17 - 1 = 35.
number_ranking, two_sided_total

Question 7

25 people are sitting around a circular table. Person A is at position 14 and Person B is at position 6 (when numbered clockwise from 1 to 25). What is the minimum number of people between A and B?
Clockwise distance: 17 steps, Anti-clockwise: 8 steps. Minimum people between = min(17, 8) - 1 = 7.
number_ranking, circular, arrangement

Question 8

In a row of 53 students, P is 17th from the left. What is the sum of P's rank from left and from right?
Sum = Left rank + Right rank = 17 + 37 = 54.
number_ranking, comparison, difference

Question 9

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 10

In a row of 59 students, B is 17th from the left and D is 21th from the left. How many students are between them?
Between = |21 - 17| - 1 = 4 - 1 = 3.
number_ranking, comparison, difference

Question 11

In a row, Isha is 8th from the left and Vikram is 22th from the right. If Vikram is 18th from the left, how many people are there in the row?
Using T = L + R - 1 with Vikram's left rank 18 and right rank 22: T = 18 + 22 - 1 = 39.
number_ranking, two_sided_total

Question 12

In a row of 37 people, Rohan is 8th from the front and Dev is 30th from the front. How many people are between them?
Between B = (rank of second - rank of first - 1) = 30 - 8 - 1 = 21.
number_ranking, non_overlapping_case

Question 13

In an exam, 47 students appeared. 4 students scored the same marks and secured the 6th 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 = 6 - 1 = 5.
number_ranking, ties, same_rank

Question 14

In a class of 67 students, there are 32 boys and 35 girls. Riya ranks 22th 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: 21. Of these, boys before = 5, so girls before = 21 - 5 = 16. Girls after = total girls - girls before - herself = 35 - 16 - 1 = 18.
number_ranking, conditional_grouping

Question 15

In a row of 41 students, B is 29th from the left and S is 33th from the left. Who is ahead of whom?
Since 29 < 33, B is ahead (to the left) of S.
number_ranking, comparison, difference

Question 16

In a row of 39 students, Karan's rank from the left end is 29. What is Karan's rank from the right end?
The total number of people T = 39. Rank from right R = T - L + 1 = 39 - 29 + 1 = 11. So, Karan's rank from the right is 11.
number_ranking, basic_formula

Question 17

In a row, Amit is 14th from the left and Tarun is 24th from the right. They interchange their positions. Now, Amit becomes 21th from the left. What is Tarun's new rank from the right?
First find total: T = 21 + 24 - 1 = 44. After interchange, Tarun takes Amit's old position from left (14). So Tarun's rank from right = T - 14 + 1 = 44 - 14 + 1 = 31.
number_ranking, swap_position

Question 18

In a class of 62 students, there are 38 boys and 24 girls. Riya ranks 15th 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: 14. Of these, boys before = 9, so girls before = 14 - 9 = 5. Girls after = total girls - girls before - herself = 24 - 5 - 1 = 18.
number_ranking, conditional_grouping

Question 19

In a row, Isha is 3th from the left and Vikram is 41th from the right. If Vikram is 6th from the left, how many people are there in the row?
Using T = L + R - 1 with Vikram's left rank 6 and right rank 41: T = 6 + 41 - 1 = 46.
number_ranking, two_sided_total

Question 20

In an exam, 49 students appeared. 2 students scored the same marks and secured the 32th 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 = 32 - 1 = 31.
number_ranking, ties, same_rank
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