Quantitative Aptitude - Arithmetic Ability Questions

If tan(A/2) = x, then the value of x is

In ΔABC measure of angle B is 90 deg. If cosA = 5/13, and AB = 10 cm, then what is the length (in cm) of side BC?

A boy in a train notices that he can count 31 telephone posts in 60 seconds. the distance between two posts is 60 meters. Calculate the speed of the train?

The average of 21 numbers is 12. The average of the first 11 numbers is 9 and the average of the last 11 numbers is 15. What is the value of the middle number?

If after giving a discount of 18%, a book is sold for Rs 1599, then what will be the marked price (in Rs) of the book?

The first and last terms of an arithmetic progression are 25 and ­52. What is the sum of the series if it has 12 terms?

The solution set of 4x -­ 3y = 10 and 3x + y = 14 is

If 3x ­- 2(4 ­- 3x) < 2x ­- 5 < 3x + 3; then the value of x is