Quantitative Aptitude - Arithmetic Ability Questions

If cos ­-11π/6 = x, then the value of x is

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?

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?

Manish is four times as efficient as Puneet. Manish takes 90 days less than Puneet to complete a book. If both of them work together, then in how many days the book will be completed?

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?