Quantitative Aptitude - Arithmetic Ability Questions

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

The area of a circle is 616 sq cm, find its circumference?

Line segment AB is parallel to line segment CD. AD intersects BC in E. If lengths of AE, BC and ED are 12 cm, 12 cm and 18 cm respectively, what is the length of EC?

A train moves at the speed of 40 m/s and crosses a bridge of length 550 metres in 25 seconds. What is the length (in metres) of the train?

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 ?

∆ABC is right angled at B. BD is an altitude. AD = 4 cm and DC = 9 cm. What is the value of BD (in cm)?

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?

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