Quantitative Aptitude - Arithmetic Ability Questions

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

If a + b = 10 and ab = 24, then what is the value of a3 + b3?

If xa+b+1=xa-b+a-ba+b, then x is equal to

What is the rate of interest if simple interest earned on a certain sum for the 3rd year is Rs 1,750 and compound interest earned for 2 years is Rs 3622.5?

Two cars travel from city A to city B at a speed of 36 and 54 km/hr respectively. If one car takes 3.5 hours lesser time than the other car for the journey, then the distance between City A and City B is

A and B together can complete a piece of work in 12 days. They worked together for 5 days and then A alone finished the rest work in 14 days. A alone can complete the work in _____.

If 3n = 2187, then the value of n is:

Consider the figure shown below which consists of the triangle ABC which touches the circle with centre at O. Which of the following options is CORRECT?