Evaluate the economic and non-economic factors influencing entrepreneurship growth in India. Discuss various social problems that originate out of the speedy process of urbanisation in India.
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(a) A cylindrical vessel of diameter 21 cm contains water. A metal sphere of diameter 6 cm is lowered into the water until it is completely immersed. By how much does the level of water rise? (b) An over head tank has been constructed to supply water to a village with a population of 3925 at the rate of 20 litres per day per head. Water is pumped into it through a pipe of 5 cm radius, the rate of flow being 4 m per sec. How long will it take to fill the tank every morning? (๏ฐ ๏ฝ 3.14 ) (10)
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(a) A man sells two wrist watches at 864 each. On one he gains 8% and on the other he loses 10%. Find his gain or loss percent on the whole. (5) (b) Ram sold a almirah at 6,000 after allowing a discount of 8%. Find the marked price.
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Pskยคi. (a) Find the radius of the incircle of a regular hexagon each side of length 8 cm. (5) (b) Find the length of the chord of a circle of radius 15 cm subtending an angle of 144๏ฐ at the centre. (5)
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(a) The radii of two right circular cylinders in the ratio of 4 : 3, and their heights are in the ratio 3 : 5, Find the ratio of their curved surface areas, total surface areas and volume. (b) If the angles of a triangle are in the ratio (5x ๏ญ 12) , (2x ๏ซ 36) , (3x ๏ซ 36) . What is the value of 4 x ๏ญ 24 ? (6) ๏
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A circus tent is to be erected in the form of a cone surmounted on a cylinder. The total height of the tent is 56 m. Diameter of the base is 42 m and height of the cylinder is 28 m. Find the cost of canvas needed to make the tent, if the cost of canvas is 15/m2. Also find the volume of the cylindrical part and conical part. (15)
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From the top and foot of a 60 m high tower, the angles of Elevation of the top of a lighthouse are found to be 30๏ฐ and 60๏ฐ respectively. Find the height of the lighthouse. Also find the distance of the top of the lighthouse from the foot of the tower. (15)
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