Quantitative Aptitude - Arithmetic Ability Questions

Simplify (b5x2a3z4)*(b3x2a4z5) / (a2b3z2)

What is the slope of the line perpendicular to the line passing through the points (-5 , 1) and (-2 , 0)?

If the zeroes of the polynomial x2 - ax + b are 3 and 4, then 'a' and 'b' are respectively equal to

Which of the following quadratic equations has real roots?

The median of the numbers 14, 12, 12, 16, 13 and 18 is

A product was sold foe Rs. 4,500 at a profit of 12.5%. What was the amount of profit?

An equilateral triangle ABC is inscribed in a circle of radius 20√3.
The centroid of the triangle ABC is at a distance d from the vertex A. What is d equal to ?

A pipe, working at full speed, can fill an empty cistern in 1 hour. However, during the first hour it worked at one-twelfth of its capacity, during the second hour at one-ninth of its capacity, during the third hour at one-sixth of its usual capacity and during the fifth hour it was only one -third as efficient as it was supposed to be. A second pipe also displayed similar performance, but if it worked at full speed would have filled the empty cistern in 2 hours. Together with a drain pipe that drained water out of the tank at a constant rate, the empty cistern could be filled in 5 hours, all the three pipes working concurrently. How many hours will it take the drain pipe to empty the filled cistern if no other pipe was functioning during the time?