Quantitative Aptitude - Arithmetic Ability Questions

If a3 + b 3 = 35 and ab = 6, then what is the value of a + b?

The line passing through the point (5,a) and point (4,3) is perpendicular to the line x - 6y = 8. What is the value of 'a'?

If 2(5x - ­4) -­ 2 < 2x ­- 1 < 4x - ­2; then the value of x is

Which of the following is the largest number among 2, 33, 4, 53

The radius of two cylinders are in the ratio of 3:2 and their heights are in the ratio 3:7. The ratio of their volumes is :

The line segment AB intersects the straight line CD at B; AB will be smallest when ∠ ABD (in degrees) is

12 men and 16 women together can complete a work in 4 days. It takes 80 days for one man alone to complete the same work, then how many days would be required for one woman alone to complete the same work?

The volume of a right circular cone, whose radius of the base is same as one-third of its altitude, and the volume of a sphere are equal. The ratio of the radius of the cone to the radius of the sphere is :