Quantitative Aptitude - Arithmetic Ability Questions

For triangle ABC, find equation of median AD if co­-ordinates of points A, B and C are (2,­4), (3,0) and (5,­2) respectively?

Find out the odd word/letters/number/number pair from the given alternatives.

A ladder 20 m long is leaning against a vertical wall. It makes an angle of 30 deg with the ground. How high on the wall does the ladder reach?

If a cone is divided into two parts by drawing a plane through the midpoints of its axis, then the ratio of the volume of the 2 parts of the cone is

Find two numbers such that their mean proportion is 12 and third proportion is 768.

Pipe A can empty a filled tank in 28 hours while Pipe B can fill the same tank, when empty in 35 hrs. If alternatively Pipes A and B are turned on for an hour each time, starting when the tank is full, how long will it take to empty the tank?

If tan(A/2) = x, then the value of x is

The average height of 50 bats is 126 cm. Some bats of average height 120 cm are removed. If the new average height is 130 cm, then how many bats are remaining?