Quantitative Aptitude - Arithmetic Ability Questions

A pilot in an aeroplane at an altitude of 200 m observes two points lying on either side of a river. If the angles of depression of the two points be 45° and 60°, then the width of the river is

Consider the following figure shown below and choose which of the following equation is correct about the similarity of both triangles?

From the top of a platform, the angle of elevation of a tower was 30 deg. The tower was 45 mts high and the horizontal distance between the platform and the tower was 40√3 m. What was the height of the platform?

How many solutions does a pair of linear equations will have, if the equations are 4x+5y-6=0 and 16x+20y+20=0?

The value of cos0 deg is

A tent is to be built in the form of a cylinder of radius 7 m surmounted by a cone of the same radius. If the height of the cylindrical part is 8 m and slant height of the conical part is 12 m, how much canvas will be required to build the tent? Allow 20% extra canvas for folding and stitching. (Take π = 22/7)

Two circles of equal radii intersect each other such that one circle will pass through the centre of the other circle. The distance between the centre of two circles is equal to 6 cm. Find the length (in cm) of common chord.

The length of shadow of a tower is √3 times that of its length. The angle of elevation of the sun is