Quantitative Aptitude - Arithmetic Ability Questions

If a - b = -1 and ab = 6, then what is the value of a3- b3?

What is the length of the side of an equilateral triangle, if its area is 36√3 sq cm?

If x = [1/(√5 + √3)], y = [1/(√7 + √5)] and z = [1/(√7 + √3)], then what is the value of (x + y + z)?

An engineering student has to secure 25% marks to pass. He gets 45 and fails by 45 marks. Find the maximum marks.

The diameters of two cylinders are in the ratio 3:2 and their volumes are equal. The ratio of their heights is

A man starts moving from a place A and reaches the place B in 26 hours. He covers 1/3rd of the distance at the speed of 4 km/hr and covers the remaining distance at the speed of 5 km/hr. What is the distance (in km) between A and B?

The distance between the centres of two circles is 61 cm and their radii are 35 cm and 24 cm. What is the length (in cm) of the direct common tangent to the circles?

If √(cosec2A - 1) = x, then the value of x is