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Interchange with Unknown: Worksheet 10 - Expert Practice Interchange with Unknown EXPERT

Ready to master Interchange with Unknown? This accuracy focus 👑 worksheet (10/10) presents 20 expert-level challenges. Focus area: application-based learning. Learn to solve interchange with unknown reasoning tricks, handle fast interchange with unknown solving, and perfect interchange with unknown mastery with our step-by-step solutions.

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

What you'll learn in this worksheet:
Your progress through Interchange with Unknown
Worksheet 10 of 10 (100% complete)

Question 1

In a row of 55 people, after interchanging positions with B, A becomes 14th 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 = 55 - 12 + 1 = 9.

Question 2

In a row of 44 people, after interchanging positions with B, A becomes 19th from the left and 26th 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 = 44 - 17 + 1 = 14.

Question 3

In a row of 51 people, after interchanging positions with B, A becomes 15th from the left and 37th 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 = 51 - 14 + 1 = 11.

Question 4

In a row of 51 people, after interchanging positions with B, A becomes 18th from the left and 34th 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 = 51 - 15 + 1 = 13.

Question 5

In a row of 47 people, after interchanging positions with B, A becomes 17th from the left and 31th 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 = 47 - 14 + 1 = 11.

Question 6

In a row of 38 people, after interchanging positions with B, A becomes 16th from the left and 23th 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 = 38 - 14 + 1 = 11.

Question 7

In a row of 48 people, after interchanging positions with B, A becomes 20th from the left and 29th from the right. If B was originally 13th 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 13, we can find A's original left rank = total - r2_right + 1 = 48 - 13 + 1 = 15.

Question 8

In a row of 36 people, after interchanging positions with B, A becomes 22th from the left and 15th 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 = 36 - 18 + 1 = 14.

Question 9

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 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 = 55 - 14 + 1 = 15.

Question 10

In a row of 45 people, A is 8th from the left. After interchanging positions with B, A becomes 12th 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 12. So A's new right rank = total - new_left + 1 = 45 - 12 + 1 = 34.

Question 11

In a row of 47 people, A is 15th from the left. After interchanging positions with B, A becomes 20th from the left. B originally was 15th 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 = 47 - 20 + 1 = 28.

Question 12

In a row of 50 people, after interchanging positions with B, A becomes 18th from the left and 33th 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 = 50 - 12 + 1 = 11.

Question 13

In a row of 46 people, after interchanging positions with B, A becomes 14th from the left and 33th 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 = 46 - 12 + 1 = 8.

Question 14

In a row of 45 people, A is 12th from the left. After interchanging positions with B, A becomes 20th 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 20. So A's new right rank = total - new_left + 1 = 45 - 20 + 1 = 26.

Question 15

In a row of 50 people, A is 8th from the left. After interchanging positions with B, A becomes 14th from the left. B originally was 17th 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 = 50 - 14 + 1 = 37.

Question 16

In a row of 38 people, A is 12th from the left. After interchanging positions with B, A becomes 18th from the left. B originally was 11th 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 = 38 - 18 + 1 = 21.

Question 17

In a row of 40 people, A is 11th from the left. After interchanging positions with B, A becomes 17th 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 17. So A's new right rank = total - new_left + 1 = 40 - 17 + 1 = 24.

Question 18

In a row of 37 people, A is 13th from the left. After interchanging positions with B, A becomes 17th from the left. B originally was 17th from the right. What is A's new rank from the right?
After interchange, A's new left rank is 17. So A's new right rank = total - new_left + 1 = 37 - 17 + 1 = 21.

Question 19

In a row of 47 people, after interchanging positions with B, A becomes 17th from the left and 31th 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 = 47 - 10 + 1 = 11.

Question 20

In a row of 51 people, after interchanging positions with B, A becomes 14th from the left and 38th 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 = 51 - 17 + 1 = 9.
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