Quantitative Aptitude - Arithmetic Ability Questions

The radius of a sphere and right circular cylinder is 'r'. Their volumes are equal. The ratio of the height and radius of the cylinder is:

O is the centre of the circle and ∠AOB = 150°, and the shaded portion is x part of the circular region, then x = ?

The orthocentre of a triangle is the point where

ABCD is a cyclic trapezium in which AD || BC. If ∠ABC = 70°, then ∠BCD is

G is the centroid of ΔABC. If AG = BC, then measure of ∠BGC is

In a circle, a chord, 5√2 cm long, makes a right angle at the centre. Then the length of the radius of the circle will be

Thousand solid metallic spheres of diameter 6 cm are melted and recast into a new solid sphere. The diameter of the new sphere (in cm) is

In ΔABC , DE || AC. Where D and E are two points lying on AB and BC respectively. If AB = 5 cm and AD = 3 cm, then BE : EC is