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Master Interchange with Unknown - Beginner Level Problems Interchange with Unknown BEGINNER

Excel in competitive exams with this skill builder ⚡ worksheet on Interchange with Unknown. Worksheet 3 of 10 contains 20 beginner-level problems. Target your step-by-step problem solving skills while practicing interchange with unknown practice, interchange with unknown for competitive exams, and how to solve interchange with unknown.

📝 Worksheet 3 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Interchange with Unknown
Worksheet 3 of 10 (22% complete)

Question 1

In a row of 52 people, after interchanging positions with B, A becomes 14th from the left and 39th from the right. If B was originally 11th 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 11, we can find A's original left rank = total - r2_right + 1 = 52 - 11 + 1 = 8.

Question 2

In a row of 45 people, A is 11th from the left. After interchanging positions with B, A becomes 18th from the left. B originally was 18th from the right. What is A's new rank from the right?
After interchange, A's new left rank is 18. So A's new right rank = total - new_left + 1 = 45 - 18 + 1 = 28.

Question 3

In a row of 51 people, A is 12th from the left. After interchanging positions with B, A becomes 19th from the left. B originally was 18th from the right. What is A's new rank from the right?
After interchange, A's new left rank is 19. So A's new right rank = total - new_left + 1 = 51 - 19 + 1 = 33.

Question 4

In a row of 55 people, A is 11th from the left. After interchanging positions with B, A becomes 14th from the left. B originally was 12th from the right. What is A's new rank from the right?
After interchange, A's new left rank is 14. So A's new right rank = total - new_left + 1 = 55 - 14 + 1 = 42.

Question 5

In a row of 47 people, A is 10th from the left. After interchanging positions with B, A becomes 13th from the left. B originally was 16th from the right. What is A's new rank from the right?
After interchange, A's new left rank is 13. So A's new right rank = total - new_left + 1 = 47 - 13 + 1 = 35.

Question 6

In a row of 45 people, after interchanging positions with B, A becomes 16th from the left and 30th 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 = 45 - 14 + 1 = 9.

Question 7

In a row of 48 people, A is 14th from the left. After interchanging positions with B, A becomes 19th from the left. B originally was 18th from the right. What is A's new rank from the right?
After interchange, A's new left rank is 19. So A's new right rank = total - new_left + 1 = 48 - 19 + 1 = 30.

Question 8

In a row of 48 people, after interchanging positions with B, A becomes 15th from the left and 34th from the right. If B was originally 16th 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 16, we can find A's original left rank = total - r2_right + 1 = 48 - 16 + 1 = 9.

Question 9

In a row of 35 people, after interchanging positions with B, A becomes 16th from the left and 20th from the right. If B was originally 15th 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 15, we can find A's original left rank = total - r2_right + 1 = 35 - 15 + 1 = 9.

Question 10

In a row of 48 people, A is 10th from the left. After interchanging positions with B, A becomes 18th from the left. B originally was 14th from the right. What is A's new rank from the right?
After interchange, A's new left rank is 18. So A's new right rank = total - new_left + 1 = 48 - 18 + 1 = 31.

Question 11

In a row of 53 people, after interchanging positions with B, A becomes 14th from the left and 40th from the right. If B was originally 15th 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 15, we can find A's original left rank = total - r2_right + 1 = 53 - 15 + 1 = 11.

Question 12

In a row of 54 people, after interchanging positions with B, A becomes 13th from the left and 42th 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 = 54 - 12 + 1 = 10.

Question 13

In a row of 55 people, after interchanging positions with B, A becomes 20th from the left and 36th from the right. If B was originally 16th 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 16, we can find A's original left rank = total - r2_right + 1 = 55 - 16 + 1 = 12.

Question 14

In a row of 46 people, after interchanging positions with B, A becomes 12th from the left and 35th 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 = 46 - 14 + 1 = 9.

Question 15

In a row of 38 people, after interchanging positions with B, A becomes 15th from the left and 24th 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 = 38 - 10 + 1 = 8.

Question 16

In a row of 40 people, after interchanging positions with B, A becomes 18th from the left and 23th from the right. If B was originally 18th 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 18, we can find A's original left rank = total - r2_right + 1 = 40 - 18 + 1 = 12.

Question 17

In a row of 44 people, A is 9th from the left. After interchanging positions with B, A becomes 12th from the left. B originally was 12th from the right. What is A's new rank from the right?
After interchange, A's new left rank is 12. So A's new right rank = total - new_left + 1 = 44 - 12 + 1 = 33.

Question 18

In a row of 55 people, A is 9th from the left. After interchanging positions with B, A becomes 13th from the left. B originally was 16th from the right. What is A's new rank from the right?
After interchange, A's new left rank is 13. So A's new right rank = total - new_left + 1 = 55 - 13 + 1 = 43.

Question 19

In a row of 35 people, A is 13th from the left. After interchanging positions with B, A becomes 20th from the left. B originally was 14th from the right. What is A's new rank from the right?
After interchange, A's new left rank is 20. So A's new right rank = total - new_left + 1 = 35 - 20 + 1 = 16.

Question 20

In a row of 46 people, A is 8th from the left. After interchanging positions with B, A becomes 12th from the left. B originally was 16th from the right. What is A's new rank from the right?
After interchange, A's new left rank is 12. So A's new right rank = total - new_left + 1 = 46 - 12 + 1 = 35.
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