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Number Ranking - Intermediate Level: complex ranking INTERMEDIATE

Boost your speed and accuracy with this adaptive style 📈 worksheet. Worksheet 15 of 30 presents 20 intermediate-level number ranking problems. Focus on complex ranking while practicing ranking order, position determination, relative ranking. Difficulty: moderate complexity with mixed patterns. Perfect for mid-level test takers.

📝 Worksheet 15 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Number Ranking
Worksheet 15 of 30 (50% complete)

Question 1

In a row of 43 students, A is 28th from the left and R is 38th from the left. How many students are between them?
Between = |38 - 28| - 1 = 10 - 1 = 9.
number_ranking, comparison, difference

Question 2

In a row of 45 people, Rohan is 12th from the front and Yash is 19th from the back. How many people are between them?
Non-overlapping case (r1 + r2 ≤ total). Between B = total - (r1 + r2) = 45 - (12 + 19) = 14.
number_ranking, non_overlapping_case

Question 3

In a row of 54 people, A is 15th from the left. After interchanging positions with B, A becomes 22th 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 22. So A's new right rank = total - new_left + 1 = 54 - 22 + 1 = 33.
number_ranking, swap_position, unknown

Question 4

In a row of 40 students, P is 28th from the left and C is 34th from the left. How many students are between them?
Between = |34 - 28| - 1 = 6 - 1 = 5.
number_ranking, comparison, difference

Question 5

In a row of 41 people, Tanvi is 10th from the front and Anita is 8th from the back. How many people are between them?
Non-overlapping case (r1 + r2 ≤ total). Between B = total - (r1 + r2) = 41 - (10 + 8) = 23.
number_ranking, non_overlapping_case

Question 6

In a row of 56 students, P is 38th from the left and R is 51th from the left. Who is ahead of whom?
Since 38 < 51, P is ahead (to the left) of R.
number_ranking, comparison, difference

Question 7

In a queue, Mohan is 16th from the front and Manav is 18th from the back. If there are 25 people in the queue, how many people are standing between Mohan and Manav?
Overlapping case because r1 + r2 = 34 > total 25. Between B = (r1 + r2) - total - 2 = 34 - 25 - 2 = 7.
number_ranking, overlapping_case

Question 8

In a row, A is 3rd from left and B is 14th 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 27 as reasonable maximum.
number_ranking, min_max, optimization

Question 9

In a row of 54 students, A is 32th from the left. What is the sum of A's rank from left and from right?
Sum = Left rank + Right rank = 32 + 23 = 55.
number_ranking, comparison, difference

Question 10

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

Question 11

In a row of 30 students, Neha's rank from the left end is 22. What is Neha's rank from the right end?
The total number of people T = 30. Rank from right R = T - L + 1 = 30 - 22 + 1 = 9. So, Neha's rank from the right is 9.
number_ranking, basic_formula

Question 12

17 people are sitting around a circular table. Person A is at position 13 and Person B is at position 12 (when numbered clockwise from 1 to 17). What is the minimum number of people between A and B?
Clockwise distance: 16 steps, Anti-clockwise: 1 steps. Minimum people between = min(16, 1) - 1 = 0.
number_ranking, circular, arrangement

Question 13

In a queue, Lata is 19th from the front and Om is 19th from the back. If there are 9 people standing between them, what is the total number of people in the queue?
Overlapping case: Total T = (r1 + r2) - B - 2 = 38 - 9 - 2 = 27.
number_ranking, overlapping_case

Question 14

In an exam, 57 students appeared. 4 students scored the same marks and secured the 45th 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 = 45 - 1 = 44.
number_ranking, ties, same_rank

Question 15

In a row of 35 people, A is 13th from the left. After interchanging positions with B, A becomes 17th from the left. B originally was 18th 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 = 35 - 17 + 1 = 19.
number_ranking, swap_position, unknown

Question 16

In a row of 39 people, Pooja is 15th from the left. If Rohit is 21th from the right, what is Rohit's rank from the left?
Rank from left L = T - R + 1 = 39 - 21 + 1 = 19.
number_ranking, two_sided_total

Question 17

In a row, Chetan is 15th from the left and Sneha is 24th from the right. They interchange their positions. Now, Chetan becomes 22th 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 = 22 + 24 - 1 = 45.
number_ranking, swap_position

Question 18

In a class of 61 students, there are 30 boys and 31 girls. Raj ranks 13th from the top. There are 9 girls before him. How many boys are after his rank (towards the bottom)?
Students before him: 12. Of these, girls before = 9, so boys before = 12 - 9 = 3. Boys after = total boys - boys before - himself = 30 - 3 - 1 = 26.
number_ranking, conditional_grouping

Question 19

In a row, Meena is 8th from the left and Karan is 18th from the right. If Karan is 13th from the left, how many people are there in the row?
Using T = L + R - 1 with Karan's left rank 13 and right rank 18: T = 13 + 18 - 1 = 30.
number_ranking, two_sided_total

Question 20

In a queue, Mohan is 20th from the front and Manav is 22th 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 = 42 - 5 - 2 = 35.
number_ranking, overlapping_case
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