If there are `x` rows of chairs and each row contains `x^2` chairs. Determine the total number of chairs.

In a room there are x^2 rows of chairs and each row contains 2x^2 chairs. The total number of chairs in the room is (a) 2x^3 (b) 2x^4 (c) x^4 (d) (x^4)/2

In an examination hall there are four rows of chairs. Each row has 8 chairs one behind the other. There are two classes sitting for the examination with 16 students in each class. It is desired that i each row, all students belong to the same class and that no two adjacent row are allotted to the same class. In how many ways can these 32 students be seated?

In a large hall there are 4x^2 rows of benches. If each row has 5x^2y^3 benches and each bench can accommodate x y^2 person, determine the total number of persons if its is full up to its capacity.

At a certain mive theate, there are 16 rows and each row has either 20 or 24 seats.If the total number of seats in all 16 rows is 348, how many rows have 24 seats ?

Balls are arranged in rows to form an equilateral triangle. The first row consists of one ball, the second row of two balls and so on. If 669 more balls are added,then all the balls can be arranged in the shape of a square and each of the sides, then contains 8 balls less than each side of the triangle. Determine the initial number of balls.

In a class-room there are 2x rows of benches. If each row has 3x y benches and each bench can accommodate x students, determine the number of students in the room if it is full up to its capacity.

100 cells each of emf 5V and internal resistance 1 Omega are to be arranged to produce maximum current in a 25 Omega resistance. Each row contains equal number of cells. Find the number of rows.

2025 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.

In an auditorium, seats are arranged in rows was equal to the number of seats in each row. When the number of rows was doubled and the number of seats in each row was reduced by 10, the total number of seats increased by 300. Find the number of rows in original arrangement.

To get a maximum current in an external resistance of 8Omega one can use m rows of n cells (connected in series), connected in parallel. If the total number of cells is 64 each having an e.m.f. of 2V and interanl resistance of 2Omega , then calculate the number of cells in each row and number of rows.