Area

Practice Area – Find the number of ways you can fill a 3 x 3 grid (with 4 corners defined as a, b, c, d), if you have 3 white marbles and 6 black marbles.

Practice Area – In the figure above, AB = BC = CD = DE = EF = FG = GA. Then ∠DAE is approximately

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Practice Area – Take a bicycle with following specifications:

–The front de-railer is on the 52 tooth gear and the rear de-railer is on the 14 tooth gear
–The rear gear has 14 teeth
–The diameter of the rear wheel is 27″

If a bicyclist pedals at 75 revoltions per minute, then what will be the speed achieved?

Practice Area – Consider a right angle triangle where the length of the shorter leg is one third of the length of its hypotenuse. If the length of the shorter leg is 7 cm, then calculate the area of the triangle in square cm.

Practice Area – The dimensions of a certain machine are 48″ X 30″ X 52″. If the size of the machine is increased proportionately until the sum of its dimensions equals 156″, what will be the increase in the shortest side?

Practice Area – The ratio of the lengths of the respective diagonals of two squares is 2 : 1. Find the ratio of their areas.

Practice Area – A 16 stored building has 12000 sq.feet on each floor. Company A rents 7 floors and company B rents 4 floors. What is the number of sq.feet of unrented floor space.

Practice Area – If 12 file cabinets require 18 feet of wall space, how many feet of wall space will 30 cabinets require?

Practice Area – A sphere of 10.5 cm radius is melted and cast into a cuboid of maximum volume. The total surface area of such cuboid is approximately:

Practice Area – In the rectangle ABCD, the perpendicular bisector of AC divides the longer side AB in a ratio 2: 1. Then the angle between AC and BD is

Practice Area – A rectangular tank can hold k liters of water. How many liters of water can a tank with all its dimensions double that of the first one hold?

Practice Area – There is a rectangular Garden whose length and width are 60m * 20m.There is a walkway of uniform width around garden. Area of walkway is 516m^2. Find width of walkway:

Practice Area – In a garden man has to pick some flowers ans has to pass thrrough 3 doors. Each door has a guard. Man has to give half of the flowers he had, to the guard and in return guard returns the man one flower back. How many flower should man pick so that at the end he is left with same number of flowers he has picked?

Practice Area – ABCDEF is a regular hexagon inscribed inside a circle. If the shortest diagonal of the hexagon is of length 3 units, what is the area of the shaded region?

Practice Area – Mr Behera wants to build a house for his wife. In his dream house there are 5 rooms each having equal area. The length of each room is 4 m, breadth is 5 m and the height is 2m. For every single unit of area, he requires 17 bricks, how many bricks are required to make the floor of a particular room?