Quantitative Aptitude - Arithmetic Ability Questions

A spherical glass vessel has a cylindrical neck 7 cm long and 4 cm in diameter. The diameter of the spherical part is 21 cm. Find the quantity of water it can hold.

What is the sum of the first 11 terms of an arithmetic progression if the 4th term is 11 and the 7th term is -4?

Find the least number among  59, 949, 0.43 and 0.72.

Two pipes P and Q can fill an empty tank in 25 hours and 20 hours respectively. Pipe R alone can empty the completely filled tank in 50 hours. Firstly both the pipes P and Q are opened and after 8 hours pipe R is also opened. What will be the total time (in hours) taken to completely fill the tank?

If the side AB of an equilateral triangle ABC is equal to 12 cm. Calculate the length( in cm) of the AO, if O is the centroid of the triangle.

The radius of a sphere and right circular cylinder is 'r'. Their volumes are equal. The ratio of the height and radius of the cylinder is:

If 7 + 4x > 3 + 3x and 3x -­ 2 < 5 -­ x; then x can take which of the following values?

The difference between the greatest and least five­ digit numbers formed by the digits 2,5,0,6,8 is (repetition of digits are not allowed)