Min/Max Persons in Row: Worksheet 10 - Expert Practice Min/Max Persons in Row EXPERT

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

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Question 1

In a row, 9 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 2

In a row, A is 8rd 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 33 as reasonable maximum.

Question 3

In a row, A is 9th from left and B is 11th from right. What is the maximum number of persons that can be in the row?
Maximum can be arbitrarily large. Example with 38 persons satisfies both conditions.

Question 4

In a row, 15 persons are standing before A and 18 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 = 18 (before B) + 1 (B himself) = 19.

Question 5

In a row, A is 10th from left and B is 12th from right. What is the maximum number of persons that can be in the row?
Maximum can be arbitrarily large. Example with 38 persons satisfies both conditions.

Question 6

In a row, A is 3th 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.

Question 7

In a row, A is 6th from the left and B is 15th 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, 15) = 15.

Question 8

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 24 as reasonable maximum.

Question 9

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 10

In a row, A is 3rd 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 27 as reasonable maximum.

Question 11

In a row, A is 8th 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 35 persons satisfies both conditions.

Question 12

In a row, A is 5rd from left and B is 13th 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 24 as reasonable maximum.

Question 13

In a row, A is 5th 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(5, 14) = 14.

Question 14

In a row, 15 persons are standing before A and 20 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 = 20 (before B) + 1 (B himself) = 21.

Question 15

In a row, 6 persons are standing before A and 11 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 = 11 (before B) + 1 (B himself) = 12.

Question 16

In a row, A is 9th 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 33 persons satisfies both conditions.

Question 17

In a row, A is 3rd from left and B is 18th 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 38 as reasonable maximum.

Question 18

In a row, A is 8th 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(8, 11) = 11.

Question 19

In a row, A is 5rd from right and B is 12th 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 27 as reasonable maximum.

Question 20

In a row, 7 persons are standing before A and 12 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 = 12 (before B) + 1 (B himself) = 13.
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