Quantitative Aptitude - Arithmetic Ability Questions

If a + b + c = 9 and ab + bc + ca = 18, then what is the value of a3 + b3 + c3 – 3abc?

Calculate the total numbers of prime factors in the expression (5)11 x (5)7 x (7)5 x (3)2 x (17)2.

The bus fare between two cities is increased in the ratio 5:11. Find the increase in the fare, if the original fare is Rs. 275.

By which least number should 5000 be divided so that it becomes a perfect square?

In the given series of numbers how many 7's are there which are immediately followed by 9 and immediately not preceeded by 5 ?

The length of the diagonal of a square is 10 cm. What is area of this square?

If x + y = 13 and x2 + y2 = 89, then find xy is

The curved surface area and the slant height of a right circular cone are 99 sq.cm and 9 cm respectively. Find its diameter (in cm)