Quantitative Aptitude - Arithmetic Ability Questions

The length of one side and the diagonal of a rectangle are 5 cm and 13 cm respectively. Find its area (in cm2).

If Tan A = 15/8 and Tan B = 7/24, then Cos(A - B) = ?

Simplify 576b3x2a4z3/36a3b2z

If x-1x = 10, then find the value of x4+1x2

When [x + (1/x)] = 5, then what is the value of [x – (1/x)]?

How much does one need to add to 2/3 to obtain 3/2?

The base of a prism is in the shape of an equilateral triangle. If the perimeter of the base is 18 cm and the height of the prism is 20 cm, then what is the volume (in cm3) of the prism?

Ram and Rahim standing at a distance of 680m run towards each other at a speed of 8 m/sec and 9 m/sec respectively. After how long will they meet?