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Number Ranking - Beginner Level: ranking order BEGINNER

This foundation builder 🌟 worksheet contains 20 beginner-level number ranking problems. Worksheet 1 of 30 focuses on ranking order. Practice ranking order, position determination, relative ranking with our step-by-step solutions. Difficulty: foundational concepts and basic patterns. Recommended for entry-level learners.

📝 Worksheet 1 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Number Ranking
Worksheet 1 of 30 (3% complete)

Question 1

In a row of 40 people, after interchanging positions with B, A becomes 19th from the left and 22th from the right. If B was originally 17th 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 17, we can find A's original left rank = total - r2_right + 1 = 40 - 17 + 1 = 13.
number_ranking, swap_position, unknown

Question 2

In a row, A and B interchange positions. After interchange, A is 9th from left and B is 13th from left. If originally A was 3th from left, how many people are in the row?
Distance A moved = 6 positions. B moved same distance, so B's original position = 7. Total = B's original left position + (new_left_A - 1) = 19
number_ranking, swap_position, total_calculation

Question 3

In a row of 42 people, Sia is 16th from the front and Anita is 30th from the front. How many people are between them?
Between B = (rank of second - rank of first - 1) = 30 - 16 - 1 = 13.
number_ranking, non_overlapping_case

Question 4

In a row, 6 persons are standing before A and 9 persons are standing before B. What is the minimum number of persons in the row?
If both are on the same side, the one with more persons before (B) determines minimum: Minimum total = 9 (before B) + 1 (B himself) = 10.
number_ranking, min_max, optimization

Question 5

In a row, A is 8th from left and B is 13th from right. What is the maximum number of persons that can be in the row?
Maximum can be arbitrarily large. Example with 37 persons satisfies both conditions.
number_ranking, min_max, optimization

Question 6

In a row, A is 6th from left, B is 8th 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 8 persons for B's left position, and at least 17 persons for C's right position. So T_min = max(8, 17) = 17.
number_ranking, min_max, optimization

Question 7

In a row, A and B interchange positions. After interchange, A is 14th from left and B is 18th from left. If originally A was 9th from left, how many people are in the row?
Distance A moved = 5 positions. B moved same distance, so B's original position = 13. Total = B's original left position + (new_left_A - 1) = 23
number_ranking, swap_position, total_calculation

Question 8

In a row of 33 students, Ali's rank from the right end is 27. What is Ali's rank from the left end?
The total number of people T = 33. Rank from left L = T - R + 1 = 33 - 27 + 1 = 7. So, Ali's rank from the left is 7.
number_ranking, basic_formula

Question 9

In an exam, 52 students appeared. 4 students scored the same marks and secured the 7th 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 = 7 - 1 = 6.
number_ranking, ties, same_rank

Question 10

In a row of 41 people, Isha is 17th from the left. If Vikram is 23th from the right, what is Vikram's rank from the left?
Rank from left L = T - R + 1 = 41 - 23 + 1 = 19.
number_ranking, two_sided_total

Question 11

In a queue, Lata is 16th from the front and Om is 23th from the back. If there are 32 people in the queue, how many people are standing between Lata and Om?
Overlapping case because r1 + r2 = 39 > total 32. Between B = (r1 + r2) - total - 2 = 39 - 32 - 2 = 5.
number_ranking, overlapping_case

Question 12

In an exam, 82 students appeared. Rahul secured 71th rank. What percentage of students are ahead of Rahul?
Students ahead = 70. Percentage = (70/82) × 100 = 85.4%
number_ranking, percentage, percentile

Question 13

In a class, Kunal has 17 students ahead of him and 13 students behind him. What is the total number of students in the class?
Total = ahead + behind + 1 = 17 + 13 + 1 = 31.
number_ranking, basic_counts

Question 14

In an exam, 86 students appeared. Amit secured 25th rank. What percentage of students are behind Amit?
Students behind = 61. Percentage = (61/86) × 100 = 70.9%
number_ranking, percentage, percentile

Question 15

In a class of 69 students, there are 34 boys and 35 girls. Meera ranks 25th 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: 24. Of these, boys before = 9, so girls before = 24 - 9 = 15. Girls after = total girls - girls before - herself = 35 - 15 - 1 = 19.
number_ranking, conditional_grouping

Question 16

In a class of 29 students, Sara ranks 12th from the top. How many students are behind Sara?
Students behind = total - rank = 29 - 12 = 17.
number_ranking, basic_counts

Question 17

In a class, Anaya has 15 students ahead of him and 18 students behind him. What is the total number of students in the class?
Total = ahead + behind + 1 = 15 + 18 + 1 = 34.
number_ranking, basic_counts

Question 18

In a queue, Lata is 18th from the front and Manav is 19th from the back. If there are 26 people in the queue, how many people are standing between Lata and Manav?
Overlapping case because r1 + r2 = 37 > total 26. Between B = (r1 + r2) - total - 2 = 37 - 26 - 2 = 9.
number_ranking, overlapping_case

Question 19

24 people are sitting around a circular table. Person A is at position 14 and Person B is at position 13 (when numbered clockwise from 1 to 24). What is the minimum number of people between A and B?
Clockwise distance: 23 steps, Anti-clockwise: 1 steps. Minimum people between = min(23, 1) - 1 = 0.
number_ranking, circular, arrangement

Question 20

In a row, Bina is 14th from the left and Usha is 24th 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 + 24 - 1 = 41.
number_ranking, swap_position
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