Quantitative Aptitude - Arithmetic Ability Questions

If a3+ b3 = 19 and a + b = 1, then what is the value of ab?

In the following question, select the odd word from the given alternatives.

If the expression px3 – 2x2 – qx + 18 is completely divisible by (x2 – 9), then what is the ratio between p and q respectively?

P and Q can do a project in 60 and 30 days respectively. In how many days can they complete 90% of the project if they work together?

Two spheres of equal radius are taken out by cutting from a solid cube of side (12 + 4√3) cm. What is the maximum volume (in cm3) of each sphere?

The length of the diagonal of a square is 12 cm. Find its area (in cm2).

If Giridhar's salary is 5/3 times of Hariraj's and Shaunak's is 2/3 times of Hariraj's, what is the ratio of Giridhar's salary to Shaunak's.

Kamal has some apples. He sold 40% more than he ate. If he sold 70 apples, how many did he eat?