Quantitative Aptitude - Arithmetic Ability Questions

A kite is flying in the sky. The length of string between a point on the ground and kite is 420 m. The angle of elevation of string with the ground is 30 deg. Assuming that there is no slack in the string, then what is the height (in metres) of the kite?

In a company 2/3 of the workers are girls, 1/2 of the girls are married and 1/3 of the married girls live in hostel. If 3/4 of the boys are married and 2/3 of married boys live in hostel. Calculate the part of workers who don’t live in hostel.

What should be added to 5(2x-y) to obtain 4(2x - 3y) + 5(x + 4y)?

If a(x + y) = b(x - y) = 2ab, then the value of 2(x2 + y2)

If √(1 + cot2A)/cotA = x, then the value of x is

How long will Ramesh take to run round a square park of edge 50 meters, if he runs at the rate of 18 km/hr?

10 persons can do a job in X days. If 20 persons with twice the efficiency can do the same job in 5 days, then find the value of X?

X does 25% of a work in 20 days. Y joins X and they together finish the remaining work in 15 days. Y alone can do the whole work in ___ days.