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Question 1
In a right angle triangle ABC, right angled at B, AB = 6 cm and BC = 8 cm. A square PQRS (of maximum size) is situated on line-segment AC. Find the area of square.
Question 2
Find the curved surface area of a hemi-sphere with diameter 7 m?
Question 3
A sphere of 20 cm radius is dropped into a cylindrical vessel if 60 cm diameter, which is partly filled with water, then its level rises by x cm. Find x
Question 4
A and B invested in a business in the ratio 11:12. If 8% of the total profit goes to PMRF and A’s share is Rs. 550, then the total profit is-
Question 5
A pot is filled with milk. 20% of milk is replaced by the same quantity of water. This process is done three times. Find the percentage of milk in this mixture of milk and water.
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May 11UPPSC