Quantitative Aptitude - Arithmetic Ability Questions

ABCD is a quadrilateral inscribed in a circle (radius = ). The bisectors of the angles DAB and BCD intersect the circle at X and Y, respectively. What is the length of the straight line XY?

If 4x - 5(2x - 1) > 2x + 3 > 2 - 3x; then x can take which of the following values?

Krishna cycled a distance of 90 km at a certain speed. If he cycled 3 km slower every hour, he would have taken 5 more hours to reach his destination. What is the speed in kmph at which Krishna actually cycled?

A can do as much work in 4 days as B can do in 5, and B can do as much work in 6 days as C in 7. In what time will C do a piece of work which A can do in a week ?

A train is moving at the speed of 72 km/hr. How many seconds will it take to cover a distance of 1400 m ?

If a - b = 1 and ab = 6, then what is the value of a3- b3?

∆PQR is right angled at Q. If m∠R = 45°, then find the value of (cosecP - √3/2)

How many numbers are there between 1 to 200 which are divisible by 3 but not by 7?