Quantitative Aptitude - Arithmetic Ability Questions

The square root of 3249 is

Two trains are moving in the same direction at the speed of 24 km/hr and 50 km/hr. The time taken by faster train to cross a man sitting in the slower train is 72 seconds. What will be the length (in metres) of the faster train?

In what ratio does the point T(x,0) divide the segment joining the points S(-4,-1) and U(1,4)?

An equal sum is invested in two different schemes. One scheme gives simple interest and the other gives compound interest (annual compounding). The total interest obtained after 2 years from both the schemes together is Rs 2090. If both the schemes have 18% per annum interest rate, then what is the first year interest (in Rs) of simple interest scheme?

In the circle above, chord AB is extended to meet the tangent DE at D. If AB = 5 cm and DE = 6 cm, find the length of BD.

Find the fraction which is as much greater than 4/7 as it is less than 5/6

15 small rods, each of length 23 2/7 m are joined to make a big rod. What then is the length of the big rod?

Simplify : 213 - 112 of 35 + 125 ÷ 213