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LTL TEST 16 GEOMETRY AND MENSURATION

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  1. The diameter of a circle is equal to the  perimeter of a square whose area is 3136 sq. cm. what is the circumference of the circle?

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2. The area of a circular plot is  154 square m. The cost of fencing it at the rate of Rupees 2.75 per metre is

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3. The length of a rope by which cow must be tethered in order that it may be able to graze an area of 9856 sq.m is

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4. Area of the square is 256 centimetre square m, then what is the area of the circle inscribing in the square?

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5. The perimeter of one face of a circle is 20 cm. Its volume must be

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6. A cube of edge 4 cm is cut into cubes of edge 1 cm. Find the percentage increases in surface area.

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7. How many metres of cloth 2.5 m wide will be needed to make a conical tent with base radius 7 m and height 24 m?

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8. The heights of two cylinders are in the ratio of 3:1 . If the volumes of two cylinders be same, the ratio of their respective radius is

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9. A solid sphere is melted and recast into a right circular cone with a base radius equal to the radius sphere. what is the ratio of the height and radius of cone so formed?

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10. Three spherical ball of radii 1 cm, 2 cm and 3 cm are melted to form a single spherical ball. In the process, the loss of material is 25%. the radius of the new ball is

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11. If the area of square is 3 square root of 3 times the area of an equilateral triangle, then the ratio of the sides of the square to the side of the equilateral triangle is

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12. A horse is tethered to a peg with a 14 m long rope at the corner of a 40 m long and 24 m wide rectangular grass-field. what area of the field will the horse graze?

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13. The sides of a rhombus are 26 m and length of one of its diagonals is 20 m. the area of the rhombus is

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14. Euclid has a triangle in mind. Its longest side has length 20 and another of its sides has            length 10. Its area is 80. What is the exact length of it third side?

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15. Area of circle is equal to the area of a rectangle having perimeter of 100 cm and length is more than the breath by 6 cm. What is the diameter of the circle?

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