Quantitative Aptitude - Arithmetic Ability Questions

Δ XYZ is right angled at Y. If m∠Z = 60°, what is the length of YZ (in cm), if ZX = 3√3 cm?

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)?

Which of the following quadratic equations has real roots?

Select the odd word/letters/number/number pair from the given alternatives.

The volume of a right circular cone, whose radius of the base is half of its altitude, and the volume of a hemisphere are equal. The ratio of the radius of the cone to the radius of the hemisphere is

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

If tan ­-5π/3 = x, then the value of x is

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°?