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Number Ranking - Beginner-Intermediate Level: total persons BEGINNER-INTERMEDIATE

This deep dive ★ worksheet contains 20 beginner-intermediate-level number ranking problems. Worksheet 11 of 30 focuses on total persons. Practice interchange positions, rank comparison, order statistics with our step-by-step solutions. Difficulty: building on fundamentals with moderate challenges. Recommended for developing learners.

📝 Worksheet 11 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Number Ranking
Worksheet 11 of 30 (36% complete)

Question 1

In a queue, Mohan is 20th from the front and Nisha 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

Question 2

In a row of 38 people, Sia is 14th 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) = 38 - (14 + 14) = 10.
number_ranking, non_overlapping_case

Question 3

In a row, Divya is 13th from the left and Ramesh is 19th from the right. They interchange their positions. Now, Divya 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 4

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 26 as reasonable maximum.
number_ranking, min_max, optimization

Question 5

In a row, Isha is 15th from the left and Vikram is 26th from the right. If Vikram is 22th from the left, how many people are there in the row?
Using T = L + R - 1 with Vikram's left rank 22 and right rank 26: T = 22 + 26 - 1 = 47.
number_ranking, two_sided_total

Question 6

In a row of 35 people, Neel is 13th from the left. If Sara is 14th from the right, what is Sara's rank from the left?
Rank from left L = T - R + 1 = 35 - 14 + 1 = 22.
number_ranking, two_sided_total

Question 7

In a queue, Kabir is 15th from the front and Om is 22th from the back. If there are 24 people in the queue, how many people are standing between Kabir and Om?
Overlapping case because r1 + r2 = 37 > total 24. Between B = (r1 + r2) - total - 2 = 37 - 24 - 2 = 11.
number_ranking, overlapping_case

Question 8

In a class of 68 students, there are 30 boys and 38 girls. Riya ranks 21th 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: 20. Of these, boys before = 5, so girls before = 20 - 5 = 15. Girls after = total girls - girls before - herself = 38 - 15 - 1 = 22.
number_ranking, conditional_grouping

Question 9

In a row of 50 people, Tanvi is 22th from the front and Yash is 12th from the back. How many people are between them?
Non-overlapping case (r1 + r2 ≤ total). Between B = total - (r1 + r2) = 50 - (22 + 12) = 16.
number_ranking, non_overlapping_case

Question 10

In a row of 57 students, B is 30th from the left and R is 44th from the left. How many students are between them?
Between = |44 - 30| - 1 = 14 - 1 = 13.
number_ranking, comparison, difference

Question 11

In a row, A is 7th from left, B is 9th from left, and C is 14th from right. What is the minimum number of persons in the row?
Minimum total must satisfy both: at least 9 persons for B's left position, and at least 14 persons for C's right position. So T_min = max(9, 14) = 14.
number_ranking, min_max, optimization

Question 12

In a row, Amit is 15th from the left and Tarun is 20th from the right. They interchange their positions. Now, Amit 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 + 20 - 1 = 41.
number_ranking, swap_position

Question 13

In a row of 45 students, P is 36th from the left. What is the sum of P's rank from left and from right?
Sum = Left rank + Right rank = 36 + 10 = 46.
number_ranking, comparison, difference

Question 14

In a class of 39 students, Anaya ranks 22th from the top. How many students are ahead of Anaya?
Students ahead = rank - 1 = 22 - 1 = 21.
number_ranking, basic_counts

Question 15

In a row of 55 people, after interchanging positions with B, A becomes 14th from the left and 42th from the right. If B was originally 10th 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 10, we can find A's original left rank = total - r2_right + 1 = 55 - 10 + 1 = 11.
number_ranking, swap_position, unknown

Question 16

In a row of 37 people, after interchanging positions with B, A becomes 12th from the left and 26th from the right. If B was originally 12th 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 12, we can find A's original left rank = total - r2_right + 1 = 37 - 12 + 1 = 9.
number_ranking, swap_position, unknown

Question 17

In a row, Isha is 18th from the left and Vikram is 17th from the right. If Vikram is 24th from the left, how many people are there in the row?
Using T = L + R - 1 with Vikram's left rank 24 and right rank 17: T = 24 + 17 - 1 = 40.
number_ranking, two_sided_total

Question 18

In a row, A is 4th from left, B is 11th 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 11 persons for B's left position, and at least 15 persons for C's right position. So T_min = max(11, 15) = 15.
number_ranking, min_max, optimization

Question 19

In a row of 31 people, Tanvi is 5th from the front and Dev is 13th from the back. How many people are between them?
Non-overlapping case (r1 + r2 ≤ total). Between B = total - (r1 + r2) = 31 - (5 + 13) = 13.
number_ranking, non_overlapping_case

Question 20

In a class of 28 students, Kunal ranks 19th from the top. How many students are behind Kunal?
Students behind = total - rank = 28 - 19 = 9.
number_ranking, basic_counts
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