Number Ranking - Intermediate Level: position determination INTERMEDIATE

Quick mental agility ★ session: 20 intermediate-level number ranking questions. Worksheet 17 of 30 - Focus: position determination. Practice relative ranking, interchange positions, rank comparison with instant feedback. Great for mid-level students needing moderate complexity with mixed patterns practice.

📝 Worksheet 17 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Number Ranking
Worksheet 17 of 30 (56% complete)

Question 1

In a row of 31 students, Ali's rank from the left end is 23. What is Ali's rank from the right end?
The total number of people T = 31. Rank from right R = T - L + 1 = 31 - 23 + 1 = 9. So, Ali's rank from the right is 9.

Question 2

In a row of 30 people, Neel is 4th from the left. If Sara is 25th from the right, what is Sara's rank from the left?
Rank from left L = T - R + 1 = 30 - 25 + 1 = 6.

Question 3

In a row of 49 students, A is 28th from the left and D is 37th from the left. Who is ahead of whom?
Since 28 < 37, A is ahead (to the left) of D.

Question 4

In a row of 44 people, after interchanging positions with B, A becomes 15th from the left and 30th 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 = 44 - 15 + 1 = 9.

Question 5

In a class of 26 students, Nikhil ranks 13th from the top. How many students are behind Nikhil?
Students behind = total - rank = 26 - 13 = 13.

Question 6

In a queue, Kabir is 18th from the front and Nisha is 20th from the back. If there are 29 people in the queue, how many people are standing between Kabir and Nisha?
Overlapping case because r1 + r2 = 38 > total 29. Between B = (r1 + r2) - total - 2 = 38 - 29 - 2 = 7.

Question 7

In a row of 38 people, Sia is 7th from the front and Dev is 7th from the back. How many people are between them?
Non-overlapping case (r1 + r2 ≤ total). Between B = total - (r1 + r2) = 38 - (7 + 7) = 24.

Question 8

In a row of 44 people, A is 14th from the left. After interchanging positions with B, A becomes 20th from the left. B originally was 14th from the right. What is A's new rank from the right?
After interchange, A's new left rank is 20. So A's new right rank = total - new_left + 1 = 44 - 20 + 1 = 25.

Question 9

In a class of 63 students, there are 31 boys and 32 girls. Meera ranks 23th from the top. There are 10 boys before her in the rank list. How many girls are after her rank (towards the bottom)?
Students before her: 22. Of these, boys before = 10, so girls before = 22 - 10 = 12. Girls after = total girls - girls before - herself = 32 - 12 - 1 = 19.

Question 10

In a row of 49 people, Sia is 11th from the front and Dev is 10th from the back. How many people are between them?
Non-overlapping case (r1 + r2 ≤ total). Between B = total - (r1 + r2) = 49 - (11 + 10) = 28.

Question 11

In a row, A is 6rd from right and B is 17th 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 28 as reasonable maximum.

Question 12

In a row, Chetan is 12th from the left and Sneha is 24th from the right. They interchange their positions. Now, Chetan becomes 19th from the left. What is Sneha's new rank from the right?
First find total: T = 19 + 24 - 1 = 42. After interchange, Sneha takes Chetan's old position from left (12). So Sneha's rank from right = T - 12 + 1 = 42 - 12 + 1 = 31.

Question 13

In an exam, 57 students appeared. 3 students scored the same marks and secured the 36th 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 = 36 - 1 = 35.

Question 14

In a row, A is 6th from left, B is 8th from left, and C is 15th from right. What is the minimum number of persons in the row?
Minimum total must satisfy both: at least 8 persons for B's left position, and at least 15 persons for C's right position. So T_min = max(8, 15) = 15.

Question 15

In a row of 40 students, Q is 31th from the left and D is 35th from the left. How many students are between them?
Between = |35 - 31| - 1 = 4 - 1 = 3.

Question 16

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

Question 17

In a class, Ishita has 13 students ahead of him and 11 students behind him. What is the total number of students in the class?
Total = ahead + behind + 1 = 13 + 11 + 1 = 25.

Question 18

In a row of 55 people, A is 13th from the left. After interchanging positions with B, A becomes 17th from the left. B originally was 14th 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 = 55 - 17 + 1 = 39.

Question 19

In a row of 37 people, Sia is 12th from the front and Anita is 14th from the back. How many people are between them?
Non-overlapping case (r1 + r2 ≤ total). Between B = total - (r1 + r2) = 37 - (12 + 14) = 11.

Question 20

In a row of 39 people, A is 8th from the left. After interchanging positions with B, A becomes 16th from the left. B originally was 11th 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 = 39 - 16 + 1 = 24.
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