Math Quiz
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1. A room of dimensions 12*8*6 in meters has one door of dimensions 0.5*0.4 in meters and one more window of dimensions 1*0.5 in meter. Find the cost of applying paint on the four walls along with the ceiling of the room but excluding the door and windows at Rs. 40/m^2.
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2. The perimeter of a rectangular park is 178 more than the length of the rectangular park. The cost of fencing the boundary of the park at the rate of Rs. 7 per m is Rs. 1708. A path has been made inside the park of width 4 m along its boundary. Find the cost of paving the path with marbles at the rate of Rs. 9 per m^2.
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3. There is a square of side x cm. Another square is made by joining the mid-points of sides of that square and this process is repeated infinitely. If the perimeter of all the squares thus formed is 120(2+(2)^1/2) cm, find the value of x.
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4. A cylindrical container of height 20 cm contains water which is 40% of the total volume of the container. If the longest pencil that can fit the container is of length 29 cm, find the quantity of water present in the cylindrical container. (Take pi = 3)
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5. The area of a rectangle gets reduced by 9 square units,if its length is reduced by 5 units and breadth is increased by 3 units.If we increase the length by 3 units and breadth by 2 units, then the area is increased by 67 square units. Find the length and breadth of the rectangle.
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6. The area of a rectangle gets reduced by 9 square units,if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and breadth by 2 units, then the area is increased by 67 square units. Find the area of the rectangle?
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7. The length of a plot is four times its breath. A playground measuring 900 sq. meters occupies one – fourth of the total area of a plot. What is the length of the plot in meter.?
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8. If the length of a rectangle decreases by 5 m and breadth increases by 3 m, then its area reduces 9 sq m. If length and breadth of this rectangle increased by 3 m and 2 m respectively, then its area increased by 67 sq m. What is the length of rectangle?
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9. The perimeter of a rectangle and a square is 160 cm each. If the difference between their areas is 500 cm. If the area of the rectangle is less than that of a Square then find the area of the rectangle
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10. The perimeter of a square is equal to twice the perimeter of a rectangle of length 8 cm and breadth 7 cm. What is the circumference of a semicircle whose diameter is equal to the side of the square ?
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