Quantitative Aptitude - Arithmetic Ability Questions

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?

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

If x + y = 10 and x2 + y2 = 68, then find xy

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

G is the centroid of ΔABC. If AG = BC, then measure of ∠BGC is

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 thief is stopped by a policeman from a distance of 400 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 5 km/h and that of policeman as 9 km/h, how far the thief would have run, before he is over -taken by the policeman?

If x/y = 4/9, then what is the value of (7x2 – 19xy + 11y2)/y2 ?