Quantitative Aptitude - Arithmetic Ability Questions

For triangle ABC, find equation of median AD if co-ordinates of A, B and C are (-1,-3), (5,-4) and (3,2) respectively?

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)

Which of the following numbers is a perfect square?

In a mixture, water and milk are in the ratio of 3 : 5. In the second mixture, the ratio of water and milk is 9 : 11. If these two mixtures be mixed to form anew mixture in which water and milk are in ratio 5 : 7, then what is the ratio of these two mixtures in the new mixture?

If y=2secθ and x=3tanθ then x29-y24 is

Point P (8 , 5) is the midpoint of segment AB. Co-ordinates of A are (5, y) and B are (x, -3). What is the value of x?

By which least number should 5000 be divided so that it becomes a perfect square?

In a triangle PQR, ∠PQR = 90 deg, PQ = 10 cm and PR = 26 cm, then what is the value (in cm) of inradius of incircle?