Quantitative Aptitude - Arithmetic Ability Questions

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

Two numbers are in the ratio 2:5 and their HCF is 18. Their LCM is

A racing car going at an average speed of 108 km/hr takes 15 minutes to complete a lap on a racing track. By how much should it increase its speed (inkm/hr) to complete the lap in 12 minutes?

P and Q can do a project in 12 and 12 days respectively. In how many days can they complete 50% of the project if they work together?

P bought an article for Rs. 1600 and sold it at a profit of 10%. What would have been the increase in the profit percent if it was sold for Rs. 1840?

The mean of marks secured by 65 students in division A of class X is 54, 30 students of division B is 50 and that of 55 students of division C is 48. Find the mean of marks of the students of three divisions of Class X.

The price of an article is cut by 36%, to restore to its original value, the new price must be increased by

At what point does the line 3x + 2y = 12 cuts the Y-axis?