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Number Ranking - Advanced Level: middle ranks ADVANCED

Quick competitive exam prep session: 20 advanced-level number ranking questions. Worksheet 27 of 30 - Focus: middle ranks. Practice order statistics, position puzzles, ranking logic with instant feedback. Great for advanced students needing complex scenarios and multi-step problems practice.

📝 Worksheet 27 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
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Worksheet 27 of 30 (90% complete)

Question 1

In a row of 34 people, Arun is 16th from the left. If Bhavya is 12th from the right, what is Bhavya's rank from the left?
Rank from left L = T - R + 1 = 34 - 12 + 1 = 23.
number_ranking, two_sided_total

Question 2

In a row, Bina is 13th from the left and Sneha is 24th from the right. They interchange their positions. Now, Bina becomes 20th from the left. What is Sneha's new rank from the right?
First find total: T = 20 + 24 - 1 = 43. After interchange, Sneha takes Bina's old position from left (13). So Sneha's rank from right = T - 13 + 1 = 43 - 13 + 1 = 31.
number_ranking, swap_position

Question 3

In a row of 44 people, A is 10th from the left. After interchanging positions with B, A becomes 15th 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 15. So A's new right rank = total - new_left + 1 = 44 - 15 + 1 = 30.
number_ranking, swap_position, unknown

Question 4

In a row, Amit is 13th from the left and Tarun is 24th from the right. They interchange their positions. Now, Amit becomes 20th from the left. What is Tarun's new rank from the right?
First find total: T = 20 + 24 - 1 = 43. After interchange, Tarun takes Amit's old position from left (13). So Tarun's rank from right = T - 13 + 1 = 43 - 13 + 1 = 31.
number_ranking, swap_position

Question 5

In an exam, 55 students appeared. 3 students scored the same marks and secured the 45th 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 = 45 - 1 = 44.
number_ranking, ties, same_rank

Question 6

In an exam, 54 students appeared. 4 students scored the same marks and secured the 19th 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 = 19 - 1 = 18.
number_ranking, ties, same_rank

Question 7

In an exam, 58 students appeared. 4 students scored the same marks and secured the 9th 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 = 9 - 1 = 8.
number_ranking, ties, same_rank

Question 8

In a row, Amit is 14th from the left and Sneha is 22th from the right. They interchange their positions. Now, Amit becomes 19th from the left. What is Sneha's new rank from the right?
First find total: T = 19 + 22 - 1 = 40. After interchange, Sneha takes Amit's old position from left (14). So Sneha's rank from right = T - 14 + 1 = 40 - 14 + 1 = 27.
number_ranking, swap_position

Question 9

In an exam, 102 students appeared. Rahul secured 88th rank. What percentage of students are ahead of Rahul?
Students ahead = 87. Percentage = (87/102) × 100 = 85.3%
number_ranking, percentage, percentile

Question 10

In a row of 46 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 = 46 - 16 + 1 = 31.
number_ranking, swap_position, unknown

Question 11

In a row of 54 people, after interchanging positions with B, A becomes 21th from the left and 34th from the right. If B was originally 15th 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 15, we can find A's original left rank = total - r2_right + 1 = 54 - 15 + 1 = 13.
number_ranking, swap_position, unknown

Question 12

In a row, A is 7th from left, B is 11th from left, and C is 17th 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 17 persons for C's right position. So T_min = max(11, 17) = 17.
number_ranking, min_max, optimization

Question 13

In a row of 59 students, B is 33th from the left and R is 48th from the left. Who is ahead of whom?
Since 33 < 48, B is ahead (to the left) of R.
number_ranking, comparison, difference

Question 14

In a queue, Kabir is 18th from the front and Nisha is 18th from the back. If there are 27 people in the queue, how many people are standing between Kabir and Nisha?
Overlapping case because r1 + r2 = 36 > total 27. Between B = (r1 + r2) - total - 2 = 36 - 27 - 2 = 7.
number_ranking, overlapping_case

Question 15

In a row of 26 students, Simran's rank from the left end is 5. What is Simran's rank from the right end?
The total number of people T = 26. Rank from right R = T - L + 1 = 26 - 5 + 1 = 22. So, Simran's rank from the right is 22.
number_ranking, basic_formula

Question 16

In an exam, 85 students appeared. Amit secured 74th rank. What percentage of students are behind Amit?
Students behind = 11. Percentage = (11/85) × 100 = 12.9%
number_ranking, percentage, percentile

Question 17

In a row, A is 5rd from left and B is 12th 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 26 as reasonable maximum.
number_ranking, min_max, optimization

Question 18

In a queue, Kabir is 17th from the front and Nisha 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 = 37 - 5 - 2 = 30.
number_ranking, overlapping_case

Question 19

In a row, Amit is 13th from the left and Sneha is 22th from the right. They interchange their positions. Now, Amit becomes 18th from the left. What is Sneha's new rank from the right?
First find total: T = 18 + 22 - 1 = 39. After interchange, Sneha takes Amit's old position from left (13). So Sneha's rank from right = T - 13 + 1 = 39 - 13 + 1 = 27.
number_ranking, swap_position

Question 20

In an exam, 87 students appeared. Priya secured 37th rank. What percentage of students are behind Priya?
Students behind = 50. Percentage = (50/87) × 100 = 57.5%
number_ranking, percentage, percentile
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