Quantitative Aptitude - Arithmetic Ability Questions

p3 + q3 + r3 – 3pqr = 4. If a = q + r, b = r + p and c = p + q, then what is the value of a3 + b3 + c3 – 3abc?

If cos 240° = x, then value of x is

Which of the following is correct?

If 4(x + 5) -­ 3 > 6 -­ 4x ≥ x -­ 5; then the value of x is

The value of x for which the expressions 15x + 4 and 13x - 2 become equal is ______

What is the area (in sq cm) of a rectangle of perimeter 48 cm and breadth 10 cm?

The ratio of two positive numbers is 3:4. The sum of their squares is 400. What is the sum of the numbers?

In an army selection process, the ratio of selected to unselected was 3:1. If 60 less had applied and 30 less selected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process?