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Number Ranking - Intermediate-Advanced Level: interchange positions INTERMEDIATE-ADVANCED

Strategic expert challenge ★ for number ranking: 20 intermediate-advanced-level problems. Worksheet 19 of 30 - Focus: interchange positions. Develop expertise in rank comparison, order statistics, position puzzles with step-by-step solutions. Ideal for advanced developing learners targeting advanced concepts with increasing complexity.

📝 Worksheet 19 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

What you'll learn in this worksheet:
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Worksheet 19 of 30 (63% complete)

Question 1

In a row, A and B interchange positions. After interchange, A is 10th from left and B is 17th from left. If originally A was 6th from left, how many people are in the row?
Distance A moved = 4 positions. B moved same distance, so B's original position = 13. Total = B's original left position + (new_left_A - 1) = 21
number_ranking, swap_position, total_calculation

Question 2

In a row of 42 students, P is 16th from the left. What is the sum of P's rank from left and from right?
Sum = Left rank + Right rank = 16 + 27 = 43.
number_ranking, comparison, difference

Question 3

In an exam, 51 students appeared. 2 students scored the same marks and secured the 36th rank. How many students scored more than them?
Even though 2 students share the rank, the number of students who scored more is still rank - 1 = 36 - 1 = 35.
number_ranking, ties, same_rank

Question 4

In a row, A and B interchange positions. After interchange, A is 14th from left and B is 21th from left. If originally A was 7th from left, how many people are in the row?
Distance A moved = 7 positions. B moved same distance, so B's original position = 14. Total = B's original left position + (new_left_A - 1) = 28
number_ranking, swap_position, total_calculation

Question 5

In an exam, 108 students appeared. Amit secured 36th rank. What percentage of students are ahead of Amit?
Students ahead = 35. Percentage = (35/108) × 100 = 32.4%
number_ranking, percentage, percentile

Question 6

In a class, Sara has 8 students ahead of him and 20 students behind him. What is the total number of students in the class?
Total = ahead + behind + 1 = 8 + 20 + 1 = 29.
number_ranking, basic_counts

Question 7

In a class of 67 students, there are 31 boys and 36 girls. Raj ranks 13th from the top. There are 6 girls before him. How many boys are after his rank (towards the bottom)?
Students before him: 12. Of these, girls before = 6, so boys before = 12 - 6 = 6. Boys after = total boys - boys before - himself = 31 - 6 - 1 = 24.
number_ranking, conditional_grouping

Question 8

In a row, Amit is 13th from the left and Ramesh is 21th from the right. They interchange their positions. Now, Amit 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 + 21 - 1 = 38.
number_ranking, swap_position

Question 9

In an exam, 89 students appeared. Amit secured 18th rank. What is Amit's approximate percentile?
Percentile = (Number of students below / Total) × 100 = (71/89) × 100 = 79.8%
number_ranking, percentage, percentile

Question 10

In a row of 36 people, after interchanging positions with B, A becomes 17th from the left and 20th from the right. If B was originally 14th 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 14, we can find A's original left rank = total - r2_right + 1 = 36 - 14 + 1 = 9.
number_ranking, swap_position, unknown

Question 11

In a row, A and B interchange positions. After interchange, A is 13th from left and B is 23th from left. If originally A was 8th from left, how many people are in the row?
Distance A moved = 5 positions. B moved same distance, so B's original position = 18. Total = B's original left position + (new_left_A - 1) = 28
number_ranking, swap_position, total_calculation

Question 12

In a class of 64 students, there are 33 boys and 31 girls. Riya ranks 22th 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: 21. Of these, boys before = 5, so girls before = 21 - 5 = 16. Girls after = total girls - girls before - herself = 31 - 16 - 1 = 14.
number_ranking, conditional_grouping

Question 13

In an exam, 59 students appeared. 3 students scored the same marks and secured the 28th 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 = 28 - 1 = 27.
number_ranking, ties, same_rank

Question 14

In an exam, 110 students appeared. Rahul secured 12th rank. What is Rahul's approximate percentile?
Percentile = (Number of students below / Total) × 100 = (98/110) × 100 = 89.1%
number_ranking, percentage, percentile

Question 15

In an exam, 107 students appeared. Amit secured 92th rank. What percentage of students are ahead of Amit?
Students ahead = 91. Percentage = (91/107) × 100 = 85.0%
number_ranking, percentage, percentile

Question 16

19 people are sitting around a circular table. Person A is at position 18 and Person B is at position 4 (when numbered clockwise from 1 to 19). What is the minimum number of people between A and B?
Clockwise distance: 5 steps, Anti-clockwise: 14 steps. Minimum people between = min(5, 14) - 1 = 4.
number_ranking, circular, arrangement

Question 17

In a queue, Mohan is 15th from the front and Manav is 18th from the back. If there are 22 people in the queue, how many people are standing between Mohan and Manav?
Overlapping case because r1 + r2 = 33 > total 22. Between B = (r1 + r2) - total - 2 = 33 - 22 - 2 = 9.
number_ranking, overlapping_case

Question 18

In a row of 37 students, Priya's rank from the left end is 24. What is Priya's rank from the right end?
The total number of people T = 37. Rank from right R = T - L + 1 = 37 - 24 + 1 = 14. So, Priya's rank from the right is 14.
number_ranking, basic_formula

Question 19

22 people are sitting around a circular table. Person A is at position 14 and Person B is at position 11 (when numbered clockwise from 1 to 22). What is the minimum number of people between A and B?
Clockwise distance: 19 steps, Anti-clockwise: 3 steps. Minimum people between = min(19, 3) - 1 = 2.
number_ranking, circular, arrangement

Question 20

In a class of 65 students, there are 39 boys and 26 girls. Meera ranks 20th from the top. There are 6 boys before her in the rank list. How many girls are after her rank (towards the bottom)?
Students before her: 19. Of these, boys before = 6, so girls before = 19 - 6 = 13. Girls after = total girls - girls before - herself = 26 - 13 - 1 = 12.
number_ranking, conditional_grouping
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