Quantitative Aptitude - Arithmetic Ability Questions

The total surface area of a hemisphere is 166.32 sq cm, find its radius?

If 4x - 5y = -37 and 7x + y = -16, then x - y = ______

The ratio of sand to gravel in a mixture is 17:8 while that between gravel and cement is 6:17. What is the ratio of sand to cement in the mixture?

A mixture of 240 litres of juice and water contains 15% water. How much more water (in litres) should be added to this so that the strength of water will become 25% in the new mixture?

P and Q can do a project in 20 and 12 days respectively. In how many days can they complete 40% of the project if they work together?

If 4(2x + 3) > 5 -­ x and 5x - ­3(2x­ - 7) > 3x -­ 1, then x can take which of the following values?

If (36 - 16x) - (4x - 8) = 4, then the value of x is

If x = a cosθ+ b sinθ and y = b cosθ- a sinθ, then x2 + y2 is equal to