Quantitative Aptitude - Arithmetic Ability Questions

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)

Volume of a cylinder is 13860 cubic cm. If circumference of its base is 132 cm, find the curved surface area of the cylinder?

In ΔABC, AD is the median and AD = (1/2)BC. If ∠ACD = 40°, then what is the value (in degrees) of ∠DAB?

Iftan 450=cot∅, then the value of ∅, in radians is 

If Sinθ = √3/2 and 0°<θ<90°, then the value of tan(θ-15°) is

The distance between the points (4, 8) and (k,-4) is 13. What is the value of k?

Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. The ratio between the capacity of a man and a woman is

Dipali bought a set of cups for Rs. 375, but then had to sell it later to clear old stocks for Rs. 345. What is the percentage of loss that she incurred?