Min/Max Persons in Row: Worksheet 6 - Intermediate-Advanced Practice Min/Max Persons in Row INTERMEDIATE ADVANCED

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📝 Worksheet 6 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate Advanced level

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Question 1

In a row, A is 4th from left, B is 12th 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 12 persons for B's left position, and at least 14 persons for C's right position. So T_min = max(12, 14) = 14.

Question 2

In a row, A is 8th 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(8, 12) = 12.

Question 3

In a row, 10 persons are standing before A and 14 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 = 14 (before B) + 1 (B himself) = 15.

Question 4

In a row, 10 persons are standing before A and 16 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 = 16 (before B) + 1 (B himself) = 17.

Question 5

In a row, A is 3th from left, B is 9th 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 9 persons for B's left position, and at least 17 persons for C's right position. So T_min = max(9, 17) = 17.

Question 6

In a row, 6 persons are standing before A and 13 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 = 13 (before B) + 1 (B himself) = 14.

Question 7

In a row, A is 7th from left, B is 10th 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 10 persons for B's left position, and at least 13 persons for C's right position. So T_min = max(10, 13) = 13.

Question 8

In a row, A is 3rd from left and B is 17th 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 30 as reasonable maximum.

Question 9

In a row, A is 6th from left, B is 9th 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 9 persons for B's left position, and at least 15 persons for C's right position. So T_min = max(9, 15) = 15.

Question 10

In a row, A is 6rd from left and B is 15th 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 25 as reasonable maximum.

Question 11

In a row, 12 persons are standing before A and 15 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 = 15 (before B) + 1 (B himself) = 16.

Question 12

In a row, 13 persons are standing before A and 23 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 = 23 (before B) + 1 (B himself) = 24.

Question 13

In a row, A is 7th from left, B is 10th 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 10 persons for B's left position, and at least 13 persons for C's right position. So T_min = max(10, 13) = 13.

Question 14

In a row, A is 7rd from left and B is 14th 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 32 as reasonable maximum.

Question 15

In a row, 10 persons are standing before A and 17 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 = 17 (before B) + 1 (B himself) = 18.

Question 16

In a row, A is 5rd from right and B is 18th 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 36 as reasonable maximum.

Question 17

In a row, A is 7th from left, B is 11th 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 11 persons for B's left position, and at least 16 persons for C's right position. So T_min = max(11, 16) = 16.

Question 18

In a row, A is 7th from the left and B is 14th 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, 14) = 14.

Question 19

In a row, 9 persons are standing before A and 14 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 = 14 (before B) + 1 (B himself) = 15.

Question 20

In a row, A is 4th from left, B is 11th 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 11 persons for B's left position, and at least 14 persons for C's right position. So T_min = max(11, 14) = 14.
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