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Interchange with Unknown Beginner-Intermediate Worksheet: Focus on common variations practice Interchange with Unknown BEGINNER INTERMEDIATE

Level up your Interchange with Unknown skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: interchange with unknown for competitive exams, how to solve interchange with unknown, interchange with unknown tricks.

📝 Worksheet 4 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner Intermediate level

What you'll learn in this worksheet:
Your progress through Interchange with Unknown
Worksheet 4 of 10 (33% complete)

Question 1

In a row of 42 people, A is 8th from the left. After interchanging positions with B, A becomes 11th from the left. B originally was 13th from the right. What is A's new rank from the right?
After interchange, A's new left rank is 11. So A's new right rank = total - new_left + 1 = 42 - 11 + 1 = 32.

Question 2

In a row of 38 people, A is 12th from the left. After interchanging positions with B, A becomes 16th 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 16. So A's new right rank = total - new_left + 1 = 38 - 16 + 1 = 23.

Question 3

In a row of 43 people, A is 13th from the left. After interchanging positions with B, A becomes 21th 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 21. So A's new right rank = total - new_left + 1 = 43 - 21 + 1 = 23.

Question 4

In a row of 48 people, A is 9th from the left. After interchanging positions with B, A becomes 15th 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 15. So A's new right rank = total - new_left + 1 = 48 - 15 + 1 = 34.

Question 5

In a row of 47 people, after interchanging positions with B, A becomes 19th from the left and 29th 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 = 12.

Question 6

In a row of 35 people, A is 15th from the left. After interchanging positions with B, A becomes 23th 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 23. So A's new right rank = total - new_left + 1 = 35 - 23 + 1 = 13.

Question 7

In a row of 38 people, A is 15th from the left. After interchanging positions with B, A becomes 23th 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 23. So A's new right rank = total - new_left + 1 = 38 - 23 + 1 = 16.

Question 8

In a row of 48 people, after interchanging positions with B, A becomes 17th from the left and 32th 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 = 48 - 15 + 1 = 14.

Question 9

In a row of 50 people, after interchanging positions with B, A becomes 21th 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 = 50 - 14 + 1 = 13.

Question 10

In a row of 42 people, after interchanging positions with B, A becomes 19th from the left and 24th 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 = 42 - 11 + 1 = 15.

Question 11

In a row of 37 people, A is 8th from the left. After interchanging positions with B, A becomes 14th 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 14. So A's new right rank = total - new_left + 1 = 37 - 14 + 1 = 24.

Question 12

In a row of 38 people, after interchanging positions with B, A becomes 19th 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 = 38 - 14 + 1 = 11.

Question 13

In a row of 36 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 = 36 - 14 + 1 = 23.

Question 14

In a row of 49 people, after interchanging positions with B, A becomes 15th from the left and 35th 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 = 49 - 17 + 1 = 11.

Question 15

In a row of 44 people, after interchanging positions with B, A becomes 18th from the left and 27th 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 = 44 - 14 + 1 = 13.

Question 16

In a row of 47 people, A is 15th from the left. After interchanging positions with B, A becomes 19th 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 19. So A's new right rank = total - new_left + 1 = 47 - 19 + 1 = 29.

Question 17

In a row of 39 people, A is 15th from the left. After interchanging positions with B, A becomes 20th 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 20. So A's new right rank = total - new_left + 1 = 39 - 20 + 1 = 20.

Question 18

In a row of 51 people, A is 10th from the left. After interchanging positions with B, A becomes 17th 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 17. So A's new right rank = total - new_left + 1 = 51 - 17 + 1 = 35.

Question 19

In a row of 35 people, after interchanging positions with B, A becomes 18th from the left and 18th 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 = 35 - 10 + 1 = 10.

Question 20

In a row of 39 people, after interchanging positions with B, A becomes 22th from the left and 18th 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 = 39 - 14 + 1 = 15.
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