Quantitative Aptitude - Arithmetic Ability Questions

Two trees are standing along the opposite sides of a road. Distance between the two trees is 400 metres. There is a point on the road between the trees. The angle of depressions of the point from the top of the trees are 45 deg and 60 deg. If the height of the tree which makes 45 deg angle is 200 metres, then what will be the height (in metres) of the other tree?

Convert decimal 99 to binary.

The difference between the ages of mother and son was 21 when mother's age was 43. If father is elder by 3 years to mother, what will be the difference between the ages of son and father when father attains 50 years?

What is the value of (cot45 - √2) ?

If cos -300° = x, then the value of x is

An angle is 60 deg more than one fifth of its complement. Find the smaller angle in degrees.

An object travels 24 m in 3 s and then another 15 m in 2 s. What is the average speed of the object?

A cone of radius 3.5 cm and height 12 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 7 cm. What will be the height of water in this vessel?