Quantitative Aptitude - Arithmetic Ability Questions

If 5 sin2θ+ 4 cos2θ= 9/2 and 0 <θ<Π/2 then tanθ is equal to?

The flight fare between two cities is increased in the ratio 11:13. What is the increase (in Rs) in the fare, if the original fare was Rs 12100?

By what fraction selling price (S.P.) must be multiplied to get the cost price (C.P.) if the loss is 20% ?

If a - b = 4 and ab = -3, then what is the value of a3- b3?

A cone of radius 3.5 cm and height 27 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 2.1 cm. What will be the height of water in this vessel? (Take π = 22/7)

sec2Acosec2A is equal to

The height of a cone is 45 cm. It is cut at a height of 15 cm from its base by a plane parallel to its base. If the volume of the smaller cone is 18480 cm3, then what is the volume (in cm3) of the original cone?

The average of 19 consecutive even integers is 50. The highest of these integers is