Quantitative Aptitude - Arithmetic Ability Questions

Divide 20 into two parts such that the sum of the square of the parts is 232. What is the value of the two parts?

If M = 0.1 + (0.1)2 + (0.01)2 and N = 0.3 + (0.03)2 + (0.003)2, then what is the value of M + N?

The area of a right angled triangle ABC, right angled at B, is 46 sq units. A median is drawn from A to BC which intersects at D. Find the area (in sq. units)of triangle ABD.

Factorise x2 + 3x -­ 18

If 5 - 2x ≥ 4 - x and 3(2 - x) > 2 - 4x; then x can take which of the following values?

The incomes of S and T are in the ratio 3 : 4 and their expenditures are in the ratio 1 : 1. If S saves Rs 4000 and T saves Rs 22000, then what will be the income (in Rs) of S?

The volume of a right circular cone, whose radius of the base is same as one-third of its altitude, and the volume of a sphere are equal. The ratio of the radius of the cone to the radius of the sphere is :

Calculate the distance (in cm) of the chord from the centre of the circle, if the chord of length 48 cm is drawn in the circle of radius 25 cm.