Quantitative Aptitude - Arithmetic Ability Questions

Amal is 5 times as good a workman as Bhairav and therefore is able to finish a job in 48 days less than Bhairav. Working together, they can do it in

The ratio of spirit and water in the two vessels is 5 : 1 and 3 : 7 respectively. In what ratio the liquid of both the vessels should be mixed such that a new mixture containing half spirit and half water is obtained?

Find the volume (in cub.cm) of a sphere of diameter 42 cm

If x + 1/x = 6, then value of x2 + 1/x2 is

If a + b = 10 and ab = 21, then the value of (a - b)2 is

The bus fare between two cities is increased in the ratio 25:29. Find the increase in the fare, if the original fare is Rs. 625

Find two numbers whose sum is 29 and the product is 100.

If x - y = -9 and xy = -20, then find x2 + y2 ?