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Linear Arrangement with Distance - Absolute-Beginner Level: core concept mastery Linear Arrangement with Distance ABSOLUTE BEGINNER

This skill primer 🌟 worksheet focuses on Linear Arrangement with Distance - a key topic in Ranking Ordering. You'll solve 20 absolute-beginner-level problems (Worksheet 1 of 10). The primary focus is on core concept mastery. Master linear arrangement with distance problems, linear arrangement with distance reasoning questions, and linear arrangement with distance practice through systematic practice.

📝 Worksheet 1 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Absolute Beginner level

What you'll learn in this worksheet:
Your progress through Linear Arrangement with Distance
Worksheet 1 of 10 (0% complete)

Question 1

In a queue of 41 people, Ram is 14th from the left and Sita is 10th from the right. There is an odd number of people between them. Gita stands exactly in the middle of Ram and Sita. What is Gita's rank from the right?
Rank(Sita,L) = 41 - 10 + 1 = 32. Between = 32 - 14 - 1 = 17 (odd). Gita is central, so Rank(Gita,L) = 14 + (17//2) + 1 = 23. Rank(Gita,R) = 41 - 23 + 1 = 19.

Question 2

In a queue of 52 people, Ram is 12th from the left and Sita is 13th from the right. There is an odd number of people between them. Gita stands exactly in the middle of Ram and Sita. What is Gita's rank from the right?
Rank(Sita,L) = 52 - 13 + 1 = 40. Between = 40 - 12 - 1 = 27 (odd). Gita is central, so Rank(Gita,L) = 12 + (27//2) + 1 = 26. Rank(Gita,R) = 52 - 26 + 1 = 27.

Question 3

In a queue of 50 people, Ram is 10th from the left and Sita is 13th from the right. There is an odd number of people between them. Gita stands exactly in the middle of Ram and Sita. What is Gita's rank from the right?
Rank(Sita,L) = 50 - 13 + 1 = 38. Between = 38 - 10 - 1 = 27 (odd). Gita is central, so Rank(Gita,L) = 10 + (27//2) + 1 = 24. Rank(Gita,R) = 50 - 24 + 1 = 27.

Question 4

In a queue of 50 people, Ram is 13th from the left and Sita is 14th from the right. There is an odd number of people between them. Gita stands exactly in the middle of Ram and Sita. What is Gita's rank from the right?
Rank(Sita,L) = 50 - 14 + 1 = 37. Between = 37 - 13 - 1 = 23 (odd). Gita is central, so Rank(Gita,L) = 13 + (23//2) + 1 = 25. Rank(Gita,R) = 50 - 25 + 1 = 26.

Question 5

In a queue of 48 people, Ram is 10th from the left and Sita is 15th from the right. There is an odd number of people between them. Gita stands exactly in the middle of Ram and Sita. What is Gita's rank from the right?
Rank(Sita,L) = 48 - 15 + 1 = 34. Between = 34 - 10 - 1 = 23 (odd). Gita is central, so Rank(Gita,L) = 10 + (23//2) + 1 = 22. Rank(Gita,R) = 48 - 22 + 1 = 27.

Question 6

In a queue of 44 people, Ram is 11th from the left and Sita is 10th from the right. There is an odd number of people between them. Gita stands exactly in the middle of Ram and Sita. What is Gita's rank from the right?
Rank(Sita,L) = 44 - 10 + 1 = 35. Between = 35 - 11 - 1 = 23 (odd). Gita is central, so Rank(Gita,L) = 11 + (23//2) + 1 = 23. Rank(Gita,R) = 44 - 23 + 1 = 22.

Question 7

In a queue of 45 people, Ram is 13th from the left and Sita is 15th from the right. There is an odd number of people between them. Gita stands exactly in the middle of Ram and Sita. What is Gita's rank from the right?
Rank(Sita,L) = 45 - 15 + 1 = 31. Between = 31 - 13 - 1 = 17 (odd). Gita is central, so Rank(Gita,L) = 13 + (17//2) + 1 = 22. Rank(Gita,R) = 45 - 22 + 1 = 24.

Question 8

In a queue of 44 people, Ram is 12th from the left and Sita is 13th from the right. There is an odd number of people between them. Gita stands exactly in the middle of Ram and Sita. What is Gita's rank from the right?
Rank(Sita,L) = 44 - 13 + 1 = 32. Between = 32 - 12 - 1 = 19 (odd). Gita is central, so Rank(Gita,L) = 12 + (19//2) + 1 = 22. Rank(Gita,R) = 44 - 22 + 1 = 23.

Question 9

In a queue of 50 people, Ram is 14th from the left and Sita is 11th from the right. There is an odd number of people between them. Gita stands exactly in the middle of Ram and Sita. What is Gita's rank from the right?
Rank(Sita,L) = 50 - 11 + 1 = 40. Between = 40 - 14 - 1 = 25 (odd). Gita is central, so Rank(Gita,L) = 14 + (25//2) + 1 = 27. Rank(Gita,R) = 50 - 27 + 1 = 24.

Question 10

In a queue of 46 people, Ram is 15th from the left and Sita is 14th from the right. There is an odd number of people between them. Gita stands exactly in the middle of Ram and Sita. What is Gita's rank from the right?
Rank(Sita,L) = 46 - 14 + 1 = 33. Between = 33 - 15 - 1 = 17 (odd). Gita is central, so Rank(Gita,L) = 15 + (17//2) + 1 = 24. Rank(Gita,R) = 46 - 24 + 1 = 23.

Question 11

In a queue of 45 people, Ram is 14th from the left and Sita is 12th from the right. There is an odd number of people between them. Gita stands exactly in the middle of Ram and Sita. What is Gita's rank from the right?
Rank(Sita,L) = 45 - 12 + 1 = 34. Between = 34 - 14 - 1 = 19 (odd). Gita is central, so Rank(Gita,L) = 14 + (19//2) + 1 = 24. Rank(Gita,R) = 45 - 24 + 1 = 22.

Question 12

In a queue of 52 people, Ram is 11th from the left and Sita is 10th from the right. There is an odd number of people between them. Gita stands exactly in the middle of Ram and Sita. What is Gita's rank from the right?
Rank(Sita,L) = 52 - 10 + 1 = 43. Between = 43 - 11 - 1 = 31 (odd). Gita is central, so Rank(Gita,L) = 11 + (31//2) + 1 = 27. Rank(Gita,R) = 52 - 27 + 1 = 26.

Question 13

In a queue of 47 people, Ram is 13th from the left and Sita is 11th from the right. There is an odd number of people between them. Gita stands exactly in the middle of Ram and Sita. What is Gita's rank from the right?
Rank(Sita,L) = 47 - 11 + 1 = 37. Between = 37 - 13 - 1 = 23 (odd). Gita is central, so Rank(Gita,L) = 13 + (23//2) + 1 = 25. Rank(Gita,R) = 47 - 25 + 1 = 23.

Question 14

In a queue of 43 people, Ram is 12th from the left and Sita is 14th from the right. There is an odd number of people between them. Gita stands exactly in the middle of Ram and Sita. What is Gita's rank from the right?
Rank(Sita,L) = 43 - 14 + 1 = 30. Between = 30 - 12 - 1 = 17 (odd). Gita is central, so Rank(Gita,L) = 12 + (17//2) + 1 = 21. Rank(Gita,R) = 43 - 21 + 1 = 23.

Question 15

In a queue of 50 people, Ram is 14th from the left and Sita is 15th from the right. There is an odd number of people between them. Gita stands exactly in the middle of Ram and Sita. What is Gita's rank from the right?
Rank(Sita,L) = 50 - 15 + 1 = 36. Between = 36 - 14 - 1 = 21 (odd). Gita is central, so Rank(Gita,L) = 14 + (21//2) + 1 = 25. Rank(Gita,R) = 50 - 25 + 1 = 26.

Question 16

In a queue of 54 people, Ram is 14th from the left and Sita is 11th from the right. There is an odd number of people between them. Gita stands exactly in the middle of Ram and Sita. What is Gita's rank from the right?
Rank(Sita,L) = 54 - 11 + 1 = 44. Between = 44 - 14 - 1 = 29 (odd). Gita is central, so Rank(Gita,L) = 14 + (29//2) + 1 = 29. Rank(Gita,R) = 54 - 29 + 1 = 26.

Question 17

In a queue of 53 people, Ram is 11th from the left and Sita is 15th from the right. There is an odd number of people between them. Gita stands exactly in the middle of Ram and Sita. What is Gita's rank from the right?
Rank(Sita,L) = 53 - 15 + 1 = 39. Between = 39 - 11 - 1 = 27 (odd). Gita is central, so Rank(Gita,L) = 11 + (27//2) + 1 = 25. Rank(Gita,R) = 53 - 25 + 1 = 29.

Question 18

In a queue of 47 people, Ram is 13th from the left and Sita is 15th from the right. There is an odd number of people between them. Gita stands exactly in the middle of Ram and Sita. What is Gita's rank from the right?
Rank(Sita,L) = 47 - 15 + 1 = 33. Between = 33 - 13 - 1 = 19 (odd). Gita is central, so Rank(Gita,L) = 13 + (19//2) + 1 = 23. Rank(Gita,R) = 47 - 23 + 1 = 25.

Question 19

In a queue of 50 people, Ram is 10th from the left and Sita is 15th from the right. There is an odd number of people between them. Gita stands exactly in the middle of Ram and Sita. What is Gita's rank from the right?
Rank(Sita,L) = 50 - 15 + 1 = 36. Between = 36 - 10 - 1 = 25 (odd). Gita is central, so Rank(Gita,L) = 10 + (25//2) + 1 = 23. Rank(Gita,R) = 50 - 23 + 1 = 28.

Question 20

In a queue of 50 people, Ram is 13th from the left and Sita is 14th from the right. There is an odd number of people between them. Gita stands exactly in the middle of Ram and Sita. What is Gita's rank from the right?
Rank(Sita,L) = 50 - 14 + 1 = 37. Between = 37 - 13 - 1 = 23 (odd). Gita is central, so Rank(Gita,L) = 13 + (23//2) + 1 = 25. Rank(Gita,R) = 50 - 25 + 1 = 26.
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