Quantitative Aptitude - Arithmetic Ability Questions

Two identical hemispheres of maximum possible size are cut from a solid cube of side 14 cm. The bases of the hemispheres are part of the two opposite faces of cube. What is the total volume (in cm3) of the remaining part of the cube?

If x + [1/(x + 7)] = 0, then what is the value of x – [1/(x + 7)]?

The initial ratio of sugar to flour in a dough was 2 : 7. To 9 kg of the dough John added more sugar to make the sugar to flour ratio 2 : 5. How much sugar did John later add?

A can complete a work in 20 days and B can complete the same work in 25 days. If both of them work together, then in 3 days what percent of the total work will be completed?

A sells vegetables at a profit of 35% and for weighing uses a weight which is 10% less than the article weight. What is total profit percentage?

What is the altitude of an equilateral triangle whose side is 12 cm?

The sum of all prime numbers between 58 and 62 is

What is the area (in sq cm) of a rectangle if its diagonal is 26 cm and one of its sides is 10 cm?