A and B can complete a piece of work in 8 and 10 days respectively. However they work alternately one day each with A beginning the work. In how much time will the work be completed ?

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2 .

If the numberator of a fraction is increased by 800% and the denominator is increased by 300%. The resultant fraction is 1 $2\over7$ . What was the original fraction ?

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3 .

The distance between places A and B is 999 kms. An express train leaves place A at 6 am and Runs at a speed of 55.5 km/hr. The train stops on the one the way for 1 hours 20 minutes. It reaches B at

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4 .

The angle of elevation of the top of a building from the top and bottom of a tree are xand y respectively. If the height of the tree is hmetres, then the height of the building is

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5 .

If sin sec(30° + $\alpha$ ) = 1 and 0° < $\alpha$ < 60°, then the value of sin$\alpha$ + cos2$\alpha$ is -

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6 .

Pipe A can fill a tank in 10 hours, pipe B in 15 hours and pipe C can empty it in 20 hours. If all the 3 pipes are open together when will the tank be filled ?

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7 .

X and Y can complete a job in 12 days. X alone can complete it in 16 days. Both of them work together for 4 days and then X left the work. How long will it take for Y to complete the remaining work ?

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8 .

The marked price of an article is Rs. 150. If he allows a discount of 10%, he still gains a profit of 25%. The cost price of the article is

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9 .

After allowing a discount of 12%, a trader made a profit of 10%. What profit percentage he would have got , if t here was no discount ?

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10 .

If the simple interest on a sum of money at 5% per annum for 3 years is Rs. 1200. The compound interest on the same sum for the same period at the same rate is

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