Quantitative Aptitude - Arithmetic Ability Questions

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?

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?

Find the odd word/letters/number pair from the given alternatives

In an army selection process, the ratio of selected to unselected was 5:1. If 100 less had applied and 20 less selected, the ratio of selected to unselected would have been 6:1. How many candidates had applied for the process?

The numbers x, y, z are respectively proportional to 2, 3, 5 and the sum of x, y and z is 80. If the number z is given by the equation z = ax­-8, then a is

The smallest number that must be subtracted from 2800 so that the obtained number is a perfect square is

Average of 31 numbers is 19. If the average of first 8 numbers is 24, then what is the average of the remaining numbers?

A thief is stopped by a policeman from a distance of 200 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed
of the thief as 8 km/hr and that of police man as 10 km/hr. How far the thief would have run, before he is over ­taken?