Quantitative Aptitude - Arithmetic Ability Questions

The length of one side and the diagonal of a rectangle are 8 cm and 17 cm respectively. Find its area (in cm2).

A sum becomes 1.69 times of itself in 2 years when invested at compound interest. What is the per annum rate of interest (in percentage)?

What is the slope of the line parallel to the line passing through the points (5, -1) and (4, -4)?

What is the slope of the line perpendicular to the line passing through the points (­-4,5) and (3,­-2)?

The total surface area of a cube is 73.5 sq.cm. Find its side (in cm).

Find the value of p, if 2x -­ 4, 4x + p and 6x -­ 12 are in arithmetic progression.

In a triangle the length of the side opposite the right angle is 6 cm, what is the length of the side opposite to the angle which measures 30°?

Two trains are moving in the same direction at the speed of 24 km/hr and 50 km/hr. The time taken by faster train to cross a man sitting in the slower train is 72 seconds. What will be the length (in metres) of the faster train?