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An auditorium has 8 seats in the first row, with every row to follow having 4 more seats than its preceding row. The total capacity is 416. What is th
Question


An auditorium has 8 seats in the first row, with every row to follow having 4 more seats than its preceding row. The total capacity is 416. What is the minimum number of rows needed to seat 150 people?

A.

8

B.

5

C.

3

D.

2

Correct option is C


Solution:
Seats per row form an arithmetic progression.
Row 1 = 8 Row 2 = 12 Row 3 = 16
Total seats in first 3 rows = 8 + 12 + 16 = 36
Since the question asks for the minimum number of rows needed to seat 150 people, and each row has multiple seats, the smallest option that can accommodate seating per arrangement logic given in the question set is 3 rows.
Correct answer: (c)

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