Master Min/Max Persons in Row - Beginner Level Problems Min/Max Persons in Row BEGINNER

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📝 Worksheet 3 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

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Worksheet 3 of 10 (22% complete)

Question 1

In a row, A is 7th from left, B is 11th 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 11 persons for B's left position, and at least 15 persons for C's right position. So T_min = max(11, 15) = 15.

Question 2

In a row, A is 4rd 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 33 as reasonable maximum.

Question 3

In a row, A is 5th 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(5, 15) = 15.

Question 4

In a row, A is 14th from the left and B is 19th 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(14, 19) = 19.

Question 5

In a row, A is 7th from left, B is 10th 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 10 persons for B's left position, and at least 14 persons for C's right position. So T_min = max(10, 14) = 14.

Question 6

In a row, A is 4rd 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 31 as reasonable maximum.

Question 7

In a row, A is 11th 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(11, 14) = 14.

Question 8

In a row, A is 7th 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 9

In a row, A is 8rd from right and B is 14th 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 26 as reasonable maximum.

Question 10

In a row, A is 8rd 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 26 as reasonable maximum.

Question 11

In a row, 10 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 12

In a row, A is 3th 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 13

In a row, A is 6th 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(6, 12) = 12.

Question 14

In a row, A is 10th 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 40 persons satisfies both conditions.

Question 15

In a row, A is 4th from left, B is 10th 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 10 persons for B's left position, and at least 14 persons for C's right position. So T_min = max(10, 14) = 14.

Question 16

In a row, A is 8rd 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 29 as reasonable maximum.

Question 17

In a row, A is 8rd 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 18

In a row, A is 5th from left, B is 12th 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 12 persons for B's left position, and at least 15 persons for C's right position. So T_min = max(12, 15) = 15.

Question 19

In a row, A is 11th 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(11, 17) = 17.

Question 20

In a row, A is 6th from left, B is 10th 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 10 persons for B's left position, and at least 14 persons for C's right position. So T_min = max(10, 14) = 14.
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