Quantitative Aptitude - Arithmetic Ability Questions

Product of digits of a 2-digit number is 24. If we add 45 to the number, the new number obtained is a number formed by interchange of the digits. What is the number?

The tangents drawn at points A and B of a circle with centre O, meet at P. If ∠AOB = 120° and AP = 6 cm, then what is the area of triangle (in cm2) APB?

One internal angle of a rhombus of side 12 cm is 120°. What is the length of its longer diagonal?

If 2x -­ 3 ≤ 5 + x and 5 -­ x < 1 + 5x; then x can take which of the following values?

The slope of the line passing through the points (2,-1) and (x,5) is -1. Find x?

What is the value of (cos30° + 1/2) ?

If an interior of a regular polygon is 170o, then the number of sides of the polygon is

Two trains are moving in the same direction at the speed of 35 km/hr and 71km/hr. The time taken by faster train to cross a man sitting in the slower train is 48 seconds. What will be the length (in metres) of the faster train?