Min/Max Persons in Row Beginner-Intermediate Worksheet: Focus on common variations practice Min/Max Persons in Row BEGINNER INTERMEDIATE

Level up your Min/Max Persons in Row 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: min/max persons in row for competitive exams, how to solve min/max persons in row, min/max persons in row tricks.

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

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Question 1

In a row, A is 3th from left, B is 8th 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 8 persons for B's left position, and at least 17 persons for C's right position. So T_min = max(8, 17) = 17.

Question 2

In a row, A is 4th from left, B is 11th 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 11 persons for B's left position, and at least 17 persons for C's right position. So T_min = max(11, 17) = 17.

Question 3

In a row, 14 persons are standing before A and 19 persons are standing before B. What is the minimum number of persons in the row?
If both are on the same side, the one with more persons before (B) determines minimum: Minimum total = 19 (before B) + 1 (B himself) = 20.

Question 4

In a row, A is 8th from left and B is 13th from right. What is the maximum number of persons that can be in the row?
Maximum can be arbitrarily large. Example with 40 persons satisfies both conditions.

Question 5

In a row, A is 3rd from right and B is 13th from right. What is the maximum number of persons that can be in the row?
With only these constraints, row can be arbitrarily long. Here we assume 32 as reasonable maximum.

Question 6

In a row, A is 6th from the left and B is 11th from the right. What is the minimum number of persons in the row?
Minimum total occurs when they overlap or one is included in the other's count: T_min = max(6, 11) = 11.

Question 7

In a row, A is 7th from the left and B is 12th from the right. What is the minimum number of persons in the row?
Minimum total occurs when they overlap or one is included in the other's count: T_min = max(7, 12) = 12.

Question 8

In a row, A is 3th from left, B is 9th from left, and C is 16th from right. What is the minimum number of persons in the row?
Minimum total must satisfy both: at least 9 persons for B's left position, and at least 16 persons for C's right position. So T_min = max(9, 16) = 16.

Question 9

In a row, A is 13th from the left and B is 21th from the right. What is the minimum number of persons in the row?
Minimum total occurs when they overlap or one is included in the other's count: T_min = max(13, 21) = 21.

Question 10

In a row, A is 6th from left, B is 8th from left, and C is 14th from right. What is the minimum number of persons in the row?
Minimum total must satisfy both: at least 8 persons for B's left position, and at least 14 persons for C's right position. So T_min = max(8, 14) = 14.

Question 11

In a row, A is 5th from left and B is 9th from right. What is the maximum number of persons that can be in the row?
Maximum can be arbitrarily large. Example with 39 persons satisfies both conditions.

Question 12

In a row, A is 9th from left and B is 8th from right. What is the maximum number of persons that can be in the row?
Maximum can be arbitrarily large. Example with 33 persons satisfies both conditions.

Question 13

In a row, A is 7th from the left and B is 17th from the right. What is the minimum number of persons in the row?
Minimum total occurs when they overlap or one is included in the other's count: T_min = max(7, 17) = 17.

Question 14

In a row, A is 5th from left, B is 8th from left, and C is 13th from right. What is the minimum number of persons in the row?
Minimum total must satisfy both: at least 8 persons for B's left position, and at least 13 persons for C's right position. So T_min = max(8, 13) = 13.

Question 15

In a row, A is 3th from left, B is 12th from left, and C is 13th from right. What is the minimum number of persons in the row?
Minimum total must satisfy both: at least 12 persons for B's left position, and at least 13 persons for C's right position. So T_min = max(12, 13) = 13.

Question 16

In a row, A is 6rd from left and B is 12th from left. What is the maximum number of persons that can be in the row?
With only these constraints, row can be arbitrarily long. But typically, maximum is not bounded. Here we assume 22 as reasonable maximum.

Question 17

In a row, A is 7rd from right and B is 16th from right. What is the maximum number of persons that can be in the row?
With only these constraints, row can be arbitrarily long. Here we assume 28 as reasonable maximum.

Question 18

In a row, A is 5th from left, B is 12th from left, and C is 13th from right. What is the minimum number of persons in the row?
Minimum total must satisfy both: at least 12 persons for B's left position, and at least 13 persons for C's right position. So T_min = max(12, 13) = 13.

Question 19

In a row, A is 3th from left, B is 10th from left, and C is 15th 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 15 persons for C's right position. So T_min = max(10, 15) = 15.

Question 20

In a row, A is 7th from left, B is 8th from left, and C is 14th from right. What is the minimum number of persons in the row?
Minimum total must satisfy both: at least 8 persons for B's left position, and at least 14 persons for C's right position. So T_min = max(8, 14) = 14.
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