Quantitative Aptitude - Arithmetic Ability Questions

If a = 5, b = 4, c = 8 then find the value of (a3 + b3 + c3 - 3abc)/(ab + bc + ca - a2 - b2 - c2)

Two equal circles intersect each other at point A and B, whose centers are O and O’. OO’ = 24 mm and AB = 10 mm, then find the area (in sq. mm) of the circle.

By which least number should 5000 be divided so that it becomes a perfect square?

A ladder 20 m long is leaning against a vertical wall. It makes an angle of 30 deg with the ground. How high on the wall does the ladder reach?

If tanA + tanB = X, then the value of X is

If 2(5x - ­4) -­ 2 < 2x ­- 1 < 4x - ­2; then the value of x is

The numbers x, y, z are respectively proportional to 2, 3, 5 and the sum of x, y and z is 80. If the number z is given by the equation z = ax­-8, then a is

The average revenues of 11 consecutive years of a company is Rs 77 lakhs. If the average of first 6 years is Rs 72 lakhs and that of last 6 years is Rs 84 lakhs, What is the revenue for the Sixth year.