Quantitative Aptitude - Arithmetic Ability Questions

One of four words is a class to which the other three belong. Identify the class.

If a3 + b3 + c3 - 3abc = 0, then the value of a2/bc + b2/ac - 3.

What is the simplified value of 0.072+0.292-0.02030.073+0.293

If x tan 60° + cos 45° = sec 45° then the value of x2 + 1 is

One of the two inlet pipes works twice as efficiently as the other. The two, working alongside a drain pipe that can empty a cistern all by itself in 8 hours, can fill the empty cistern in 8 hours. How many hours will the less efficient inlet pipe take to fill the empty cistern by itself?

In triangle ABC, ∠ABC = 15 deg. D is a point on BC such that AD = BD. What is the measure of ∠ADC (in degrees)?

The length of the common chord of two intersecting circles is 12 cm. If the diameters of the circles are 15 cm and 13 cm, then what is the distance (in cm) between their centers?

A shopkeeper cheats to the extent of 8% while buying and selling fruits, by using tampered weights, his total gain in percentage is