Quantitative Aptitude - Arithmetic Ability Questions

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 1:4 and area of ΔADE is 6 sq cm, what is the ratio of area of ΔADE: area of quadrilateral BDEC?

Ram's father is twice as old as Ram is. Eight years ago the age of Ram's father was 2.5 times his age. What is Ram's current age?

A map is drawn at a scale of 2 mm for 500 kms. Two places are marked at the distance of 3.6 mm; calculate the distance (in kms) between these two places?

The surface areas of three faces of a cuboid sharing a vertex are 20, 32 and 40 sq. mts. What is the volume of the cuboid in cub. m?

Two equal circles intersect so that their centres, and the points at which they intersect form a square of side 1 cm. The area (in sq.cm) of the portion that is common to the circles is

The slopes of two lines are 1/√3 and √3. What is the angle between these two lines?

If sin - 4π/3 = x, then the value of x is

If cot(A/2) = x, then x is equal to