Quantitative Aptitude - Arithmetic Ability Questions

Two cycles start from a house with a speed of 24kmph at interval of 15 min. With how much more speed in kmph the woman coming from the opposite direction towards the house has to travel to meet the cycles at an interval of 10 minutes?

A is twice as good as B and together they finish a piece of work in 16 days. The number of days taken by A alone to finish the work is

If (x+a) is the H.C.F of 2x2+5x-12 and x2+x-12 then find the value of a.

If x+y+z = 1, 1/x + 1/y + 1/z = 1 and xyz = -1, then x3+y3+z3 is equal to

An object travels 23 m in 3 s and then another 15 m in 2 s. What is the average speed of the object?

To dispose of the old stocks, a person sold a tea-set for Rs. 3420, which was 43% below the cost price. In order to make a profit of 10% the seller should have sold the set for Rs. ___ more.

In the given figure, PQR is an equilateral triangle with side as 12 cm. S and T are the mid points of the sides PQ and PR respectively. What is the area (in sq.cm) of the shaded region?

If 27N4 is divisible by 11, then what is the value of N?