Quantitative Aptitude - Arithmetic Ability Questions

An aeroplane flying horizontally at a height of 3 Km. above the ground is observed at a certain point on earth to subtend an angle of 60°. After 15 sec flight, its angle of elevation is changed to 30°. The speed of the aeroplane (taking √3 = 1.732) is

If 10% loss is made on selling price, then the rate of loss on the cost price will be

A trader had 12 quintals of wheat. He sold a part of it at 13% profit and the rest at 23% profit, so that he made a total profit of 17 %. How much wheat did he sell at 23% profit?

Mr. Murthy invested Rs. 16,000 in a scheme. How much will he get on matuirity, if he invested it at 20% per annum C.I. for 9 months, compounded quarterly?

If 2x + 6y = 3xy and 10x -­ 3y = 4xy, find x, y.

If x - y = 6 and xy = 40, then find x2 + y2 ?

A watch having marked price as Rs 8400 is sold for Rs 5040 after two successive discounts. If the first discount is 25% then what is the second discount percentage?

In the given figure, in a right angle triangle ABC, AB = 12 cm and AC = 15 cm. A square is inscribed in the triangle. One of the vertices of square coincides with the vertex of triangle. What is the maximum possible area (in cm.sq) of the square?