Quantitative Aptitude - Arithmetic Ability Questions

Find the roots of the quadratic equation 27x2 + 57x -­ 14 = 0

If the Arithmetic mean of 7, 5, 13, x and 9 is 10, then the value of x is

If 8x/3 + [7(5 - 2x/3)]/2 = 1/2 , then what is the value of x?

If a(x + y) = b(x - y) = 2ab, then the value of 2(x2 + y2)

A car covers the first 30 km at a speed of 60 kmph and the next 20 km at 80 kmph. Find the average speed.

An hour-long test has 60 problems. If a student completes 30 problems in 25 minutes, then the required seconds he has taken on average for computing each of the remaining problems is

Five men or ten women can complete a job in 20 days. In how many days can 3 men and 4 women complete it?

Which of the following numbers is a perfect square?