Quantitative Aptitude - Arithmetic Ability Questions

What should be added to 3(x­ - 2y) to obtain 2(3x + y) -­ 5(2x + 3)?

Simplify (b5x2a3z4)*(b3x2a4z5) / (a2b3z2)

Sum of a fraction and thrice of its reciprocal is 73/20. What is the fraction?

What is the value of (cot60 + 1/√3) ?

Find the area (in sq.cm) of a semi-circle of radius 14cm.

Volume of a cube is 512 cubic cm, find its total surface area? (Take π = 22/7)

The number of students in a class is increased by 20% and the number now becomes 66. Initially the number was

Three runners A,B and C run a race, with runner A finishing 12 meters ahead of runner B and 18 meters ahead of runner C, while runner B finishes 8 meters ahead of runner C. Each runner travels the entire distance at a constant speed. The length of the race is