Q1. There is a small island in the middle of a 100 metre wide river and a tall tree stands on the island. P and Q are points directly opposite to each other on two banks and in line with the tree. If the angles of elevation of the top of tree from P and Q are respectively 30° and 45°, find the height of the tree?
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Q2. Two circles with centres A and B of radii 3 cm and 4 cm respectively intersect at two points C and D such that AC and BC are tangents to the two circles. Find the length of common chord CD?
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Q3. 
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Q4. The internal bisector of ∠ABC & ∠ACB of ∆ABC meet each other at O. If ∠BOC = 110°, then ∠BAC is equal to?
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Q5. A took 15 sec to cross a rectangular field diagonally walking at the speed of 52 m/min & B took the same time to cross the same field along its sides walking at the speed of 68 m/min. The area of the field is?
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Q6. A solid metallic cone of height 10 cm, radius of base 20 cm is melted to make spherical balls each of 4 cm diameter. How many such balls can be made?
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Q7. Four runners started running simultaneously from a point on a circular track. They took 200 seconds, 300 second, 360 seconds & 450 seconds to complete one round. After how much time do they meet at the starting point for the 1st time?
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Q8. A cooker is sold at a gain of 16%. If it had been sold for Rs. 20 more, 20% would have been gained. The cost price of the cooker is?
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Q9. A can do a piece of work in 12 days while B alone can do it in 15 days. With the help of C they can finish the work in 5 days. If they are paid Rs. 960 for the whole work. How much money A gets?
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Q10. In a class, the no. of girls is 20% more than that of the boys. The strength of the class is 66. If 4 more girls are admitted to the class, the ration of the number of boys to that of the girls is?
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Q11. A man wants to invest Rs. 16850 in bank account of his 2 sons, whose ages are 12 years & 16 years in such a way so that they will get equal amount at an age of 120 years at the rate of 
compounded annually. Find the share of younger son?
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Q12. Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
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Q13. A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?
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Q14. A train travelling at a speed of 75 mph enters a tunnel 3 ½ miles long. The train is ¼ mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
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Q15. A man rows to a place 48 km distant and back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is?
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