Quantitative Aptitude - Arithmetic Ability Questions

If p3 - q3 = (p - q) ( (p - q)2 + x p q ) then value of x is

An equilateral triangle ABC is inscribed in a circle of radius 20√3.
What is the length of the side of the triangle?

What is the value of (cos 40° – cos 140°)/(sin 80° + sin 20°)?

If x2 + y2 + 6x + 5 = 4(x - y) then x - y is

Profit of Rs 187200 has to be divided among three partners Amit, Brijmohan and Chiranjeev in the ratio 1:2:5. How much does Chiranjeev get?

If α and β are roots of the equation 3x2 – 13x + 14 = 0, then what is the value of (α/β) + (β/α)?

The value of aa-b+bb-a is

Roshan's current age is three years less than 1.5 times that of Usha's. 12 years ago Usha's age was three years more than half of Roshan's age. What is Roshan's present age in