Quantitative Aptitude - Arithmetic Ability Questions

In a class, there were 9 boys and some girls. In a test the mean score obtained by the boys was 12 while that obtained by the girls was 14. If the overall average was 13.1, what was the total number of students in the calss?

A thief is stopped by a policeman from a distance of 250 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 police man as 7 km/h, how far the thief would have run, before he is over ­taken?

In ΔABC, ∠B = 70° and ∠C = 60°. The internal bisectors of the two smallest angles of ΔABC meet at O. The angle so formed at O is

Two cars travel from city A to city B at a speed of 36 and 54 km/hr respectively. If one car takes 3.5 hours lesser time than the other car for the journey, then the distance between City A and City B is

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

If Sec θ = 5/3, then what is the value of Cosec θ?

If 3x - 10 = -(2x + 5), then the numerical value of (x - 4)3 is

X and Y are the mid points of sides AB and AC of a triangle ABC. If BC+XY=12 units, then BC-­XY is