Quantitative Aptitude - Arithmetic Ability Questions

Assuming that the numbers in each of the following figures follow a similar pattern, select the option that can replace the question mark (?) in figure C.

If x = y + 2 then x3 - y3 - z3 is

What is the value of 143 + 163 + 183 + ... + 303?

If √(1 - cos2A) = x, then the value of x is

If x2+y2+z2-8x+6y-4z+29 = 0, then find the value of z(x+y).

What will be the roots of the quadratic equation x2 - 25x + 156 = 0?

What is the value of 23+5252-23 ?

A number is divided into two parts in such a way that 30% of first part is 25 more than the 20% of second part. 50% of second part is 33.5 more than the 60% of first part. What is the number?