Correct option is B
Given:
1. Sections A, B, C, and D have 24, 27, 30, and 36 students, respectively.
2. In the section we’re looking for:
· Boys and girls are seated alternately in three rows.
· The first and last positions in each row are occupied by boys.
Analysis:
1. Since boys and girls are seated alternately, each row must start and end with boys, meaning each row must contain an odd number of seats (so that boys occupy the first and last positions).
2. Let’s assume each row has an odd number of seats, say x, where x is odd.
3. Since there are three rows, the total number of seats in that section would be 3×x
4. We need to check which section has a total number of students that is a multiple of 3 and can be arranged with an odd number of seats in each row.
Checking Each Section:
· Section A has 24 students.
· If divided into 3 rows, each row would have 24 ÷ 3 = 8 seats (even number). So, Section A does not meet the condition.
· Section B has 27 students.
· If divided into 3 rows, each row would have 27 ÷ 3 = 9 seats (odd number). This satisfies the condition of an odd number of seats per row, where boys can sit at the first and last positions.
· Section C has 30 students.
· If divided into 3 rows, each row would have 30 ÷ 3 = 10 seats (even number). So, Section C does not meet the condition.
· Section D has 36 students.
· If divided into 3 rows, each row would have 36 ÷ 3 = 12 seats (even number). So, Section D does not meet the condition.
Conclusion:
The only section that meets the criteria is Section B, with 27 students, where each row can have 9 seats, allowing boys to occupy the first and last positions in each row.
Answer:
The correct answer is Section B.
