Quantitative Aptitude - Arithmetic Ability Questions

A root of equation ax2 + bx + c = 0 (where a, b and c are rational numbers) is 5 + 3√3. What is the value of (a2 + b2 + c2)/(a + b + c)?

What should be added to 3(x­ - 2y) to obtain 2(3x + y) -­ 5(2x + 3)?

2sin[(C+D)/2].cos[(C­-D)/2] is equal to

The sum of the length and breadth of a rectangle is 6 cm. A square is constructed such that one of its sides is equal to a diagonal of the rectangle. If the ratio of areas of the square and rectangle is 5 : 2, the area of the square in cm2 is

If 4 + 3x ≤ 6 + x and 3x + 5 > 2 + 2x; then x can take which of the following values?

In a triangle the length of the side opposite the angle which measures 45° is 8 cm, what is the length of the side opposite to the angle which measures 90°?

If the length of a chord of a circle is equal to that of the radius of the circle, then the angle subtended, in radians, at the centre of the circle by chord is

What is the value of cos2A/(1 + sinA)?