Quantitative Aptitude - Arithmetic Ability Questions

The least number, which when divided by 5, 6, 7 and 8 leaves a remainder 3 in each case, but when divided by 9 leaves no remainder, is:

If a - b = 3 and a2+b2=25, then the value of ab is

From a point on a bridge across the river, the angles of depression of the banks on opposite sides of the river are 30° and 45° respectively. If the bridge is at a height of 2.5m from the banks, then the width of the river is (take √3 = 1.732)

Working 10 hours a day, Aman can complete a piece of work in 18 days. How many hours a day should he work so as to finish the work in 15 days?

A train travelling at 76 kmph crosses a 450 m long platform in 27 seconds. What is the length of the train?

Two numbers are in the ratio 5:6 when 6 is added to each, the ratio becomes 7:8 then the numbers are

By which least number should 5000 be divided so that it becomes a perfect square?

The 3rd and 9th term of an arithmetic progression are -8 and 10 respectively. What is the 16th term?