ReasoningAbility.com

Number Ranking - Intermediate Level: relative ranking INTERMEDIATE

Comprehensive weakness targeting worksheet covering 20 intermediate-level number ranking problems. Worksheet 18 of 30 emphasizes relative ranking. Master interchange positions, rank comparison, order statistics through detailed explanations. Difficulty: moderate complexity with mixed patterns. Tailored for mid-level preparation.

📝 Worksheet 18 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Number Ranking
Worksheet 18 of 30 (60% complete)

Question 1

In a class of 60 students, there are 36 boys and 24 girls. Riya ranks 18th 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: 17. Of these, boys before = 10, so girls before = 17 - 10 = 7. Girls after = total girls - girls before - herself = 24 - 7 - 1 = 16.
number_ranking, conditional_grouping

Question 2

In a row, Divya is 15th from the left and Usha is 24th from the right. They interchange their positions. Now, Divya becomes 19th 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 = 19 + 24 - 1 = 42.
number_ranking, swap_position

Question 3

In an exam, 59 students appeared. 3 students scored the same marks and secured the 7th 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 = 7 - 1 = 6.
number_ranking, ties, same_rank

Question 4

In a row of 43 people, after interchanging positions with B, A becomes 12th from the left and 32th 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 = 43 - 12 + 1 = 9.
number_ranking, swap_position, unknown

Question 5

In a row of 54 students, A is 25th from the left and R is 32th from the left. Who is ahead of whom?
Since 25 < 32, A is ahead (to the left) of R.
number_ranking, comparison, difference

Question 6

In a row, Pooja is 6th from the left and Rohit is 22th from the right. If Rohit is 11th from the left, how many people are there in the row?
Using T = L + R - 1 with Rohit's left rank 11 and right rank 22: T = 11 + 22 - 1 = 32.
number_ranking, two_sided_total

Question 7

In a row of 32 people, Sia is 11th from the front and Anita is 20th from the front. How many people are between them?
Between B = (rank of second - rank of first - 1) = 20 - 11 - 1 = 8.
number_ranking, non_overlapping_case

Question 8

In a row of 40 people, Sia is 9th from the front and Anita is 13th from the back. How many people are between them?
Non-overlapping case (r1 + r2 ≤ total). Between B = total - (r1 + r2) = 40 - (9 + 13) = 18.
number_ranking, non_overlapping_case

Question 9

In an exam, 56 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 59 students, A is 36th from the left and D is 43th from the left. Who is ahead of whom?
Since 36 < 43, A is ahead (to the left) of D.
number_ranking, comparison, difference

Question 11

In a row, Divya is 10th from the left and Ramesh is 24th from the right. They interchange their positions. Now, Divya becomes 14th 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 = 14 + 24 - 1 = 37.
number_ranking, swap_position

Question 12

In a row of 43 people, Tanvi is 17th from the front and Dev is 32th from the front. How many people are between them?
Between B = (rank of second - rank of first - 1) = 32 - 17 - 1 = 14.
number_ranking, non_overlapping_case

Question 13

In a row, Amit is 13th from the left and Tarun is 24th from the right. They interchange their positions. Now, Amit becomes 20th 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 = 20 + 24 - 1 = 43.
number_ranking, swap_position

Question 14

In an exam, 57 students appeared. 3 students scored the same marks and secured the 15th 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 = 15 - 1 = 14.
number_ranking, ties, same_rank

Question 15

In a row, A and B interchange positions. After interchange, A is 14th from left and B is 23th from left. If originally A was 3th from left, how many people are in the row?
Distance A moved = 11 positions. B moved same distance, so B's original position = 12. Total = B's original left position + (new_left_A - 1) = 34
number_ranking, swap_position, total_calculation

Question 16

In a row, Isha is 19th from the left and Vikram is 26th from the right. If Vikram is 21th from the left, how many people are there in the row?
Using T = L + R - 1 with Vikram's left rank 21 and right rank 26: T = 21 + 26 - 1 = 46.
number_ranking, two_sided_total

Question 17

In a queue, Mohan is 19th from the front and Om is 20th from the back. If there are 26 people in the queue, how many people are standing between Mohan and Om?
Overlapping case because r1 + r2 = 39 > total 26. Between B = (r1 + r2) - total - 2 = 39 - 26 - 2 = 11.
number_ranking, overlapping_case

Question 18

In a row, Meena is 16th from the left and Karan is 16th from the right. If Karan is 20th from the left, how many people are there in the row?
Using T = L + R - 1 with Karan's left rank 20 and right rank 16: T = 20 + 16 - 1 = 35.
number_ranking, two_sided_total

Question 19

In an exam, 59 students appeared. 2 students scored the same marks and secured the 8th 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 = 8 - 1 = 7.
number_ranking, ties, same_rank

Question 20

In a row, A is 5th from left, B is 10th 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 10 persons for B's left position, and at least 17 persons for C's right position. So T_min = max(10, 17) = 17.
number_ranking, min_max, optimization
Previous Worksheet Next Worksheet