Quantitative Aptitude - Arithmetic Ability Questions

The order of rotational symmetry of a trapezium is

ΔABC is right angled at B. BD is the altitude. AD is 8 cm and DC is 50 cm. What is the length of BD?

In a triangle the length of the side opposite the angle which measures 60° is 15 cm, what is the length of the side opposite to the angle which measures 90°? 

A triangle is circumscribed on the circle of centre O in such a way that sides AB = 12 cm, BQ = 7 cm and CQ = 5 cm. Calculate the lengtth (in cm) of side AC.

45 - [38 - {60 / 3 - (6 - 9 / 3)/ 3}]= ?

The height of a light house is 20 mts above sea level. The angle of depression (from the top of the lighthouse) of a ship in the sea is 30 deg. What is the distance of the ship from the foot of the light house?

Solve : (x + 2y) (2x - y)

For real a, b and c if a2 + b2 + c2 = ab + bc + ca, then find the value of a+b+c2.