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2 .If the base of a right pyramid is a triangle of sides 5 cm, 12 cm, 13 cm and its volume is 330 cm 3 , then its height will be –
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3 .The sum of two numbers is 520. If the bigger number is decreased by 4% and the smaller number is increased by 12%, then the numbers obtained are equal. The smaller number is –
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4 .Arbind spends 75% of his income and saves the rest. His income is increased by 20% and he increased his expenditure by 10%. Then the increase in savings in percentage is –
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5 .Two alloys are made up of both copper and tin. The ratio of copper and tin in the first alloy is 1 : 3 and in the second alloy is 2 : 5. In what ratio should the two alloys be mixed, to obtain a new alloy in which the ratio of tin and copper be 8 : 3 ?
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6 .The elevation of the top of a tower from a point on the ground is 45°. On travelling 60 m from the point towards the tower the elevation of the top becomes 60°. The height of the tower is –
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7 .50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m 3 , then the rise in the water level in the tank will be –
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8 .The curved surface area of a cylindrical pillar is 264 m 2 and its volume is 924 m 3 . Find the ratio of its diameter to its height
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9 .How many bricks each measuring 25 cm × 11.25 cm × 6 cm, will be needed to build a wall of 8 m × 6 m × 22.5 cm ?
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10 .Find the value of $(secA × cotA)^2$ – $(cosec A × cosA)^2$
$(secA × cotA)^2$ – $(cosec A × cosA)^2$
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