Quantitative Aptitude - Arithmetic Ability Questions

A and B can together do a piece of work in 6 days and A alone can do it in 9 days. The number of days B will take to do it alone is

If x = 2 +√3, y = 2 – √3 and z = 1, then what is the value of (x/yz) + (y/xz) + (z/xy) + 2 [(1/x) + (1/y) + (1/z)]?

Two equal circles intersect so that their centres, and the points at which they intersect form a square of side 1 cm. The area (in sq.cm) of the portion that is common to the circles is

The equation of a line is given by 4y-6x+9=0. Find the slope of other line which is perpendicular to it.

In ΔDEF measure of angle E is 90°. If cosD = 8/17, and DE = 16cm, then what is the length (in cm) of side DF?

If the price of sugar is decreased by 18%, then a person can buy 16.2 kg sugar more for Rs 4500. What will be the new price (in Rs) of sugar per kg?

The distance between the points (7,7) and (k,-5) is 13. Find k?

The average runs conceded by a bowler in 5 matches is 45 and 15.75 in other 4 matches. What is the average runs conceded by the bowler in 9 matches?