Quantitative Aptitude - Arithmetic Ability Questions

In what time will a train, 60 metres long, running at the rate of 36 km/hr pass a telegraph post?

Two businessmen A and B invest in a business in the ratio 5 : 8. They decided to reinvest 30% of the profit they earned back into the business. The remaining profit they distributed amongst themselves. If A's share of the profit was Rs 87,500 then how much profit (in Rs) did the business make?

Of the 3 numbers whose average is 22, the first is 3/8th the sum of other 2. What is the first number?

Divide 150 into two parts such that the sum of their reciprocals is 3/112. Calculate both the parts.

There were 42 students in a hostel. Due to the admission of 13 new students, the expenses of the mess increase by Rs. 30 per day while the average expenditure per head diminished by Rs. 3. What was the original expenditure of the mess ?

A cloth merchant has announced 25% rebate in prices. If one needs to have a rebate of Rs. 40, then how many metres of cloth costing Rs. 32 per metre he should purchase 

What number should be added to each of the numbers 35, 115, 53 and 165, so that the resulting numbers are in continued proportion?

The perimeter of a rectangle whose length is 6 metre more than its breadth is 84 metre. What is the area of the triangle whose base is equal to the diagonal of the rectangle and height is equal to the length of the rectangle?