Quantitative Aptitude - Arithmetic Ability Questions

If the diameter of a hemisphere is 21 cm, then what is the volume (in cub.cm) of hemisphere?

Two circles touch externally. The sum of their areas is 130π sq.cm and the distance between their centers is 14 cm. The radius of the bigger circle is

The ratio of the present ages of Reena and her husband is 4 : 5. 8 years from now, ages of her husband and her son will be in the ratio 24 : 9. If the present age of Reena is 32 years, then what will be her son’s present age (in years)?

Which of the following equations has 3 as a root?

If x/2 - [4(15/2 - x/3)]/3 = -x/18, then what is the value of x?

For triangle ABC, what would be the equation of median AD if co-ordinates of A, B and C are (-5,4), (-4,0) and (-2,2) respectively?

Four pairs of words are given. Find the odd one out.

If a3 + 3a2 + 9a = 1, then what is the value of a3 + (3/a)?