Quantitative Aptitude - Arithmetic Ability Questions

What is the value of (cot45 - √2) ?

If 5x ­- 3 ≥ 3 + x/2 and 4x -­ 2 ≤ 6 + x; then x can take which of the following values?

If x = 5 + 15 - 1 & y = 5 - 15 + 1, then find the value of x2 - y2.

Compute : (50 + 0.5 x 20) / 0.7

Calculate the total numbers of prime factors in the expression (5)11 x (5)7 x (7)5 x (3)2 x (17)2.

What is the area (in sq cm) of a regular hexagon of side 14 cm?

Calculate the length (in cm) of PQ, if the radius of the circle is 7 cm and the line through the centre O meets the tangent at point Q such that OP = 25 cm.

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?