Quantitative Aptitude - Arithmetic Ability Questions

If a-1a=1, then a2 + 1a2 ?

What is the difference between the maturity values, if Rs. 12500 is invested for 2 years at 20% per annum simple interest and compound interest?

If sec θ (cos θ + sin θ) = √2, then what is the value of (2 sin θ)/(cos θ – sin θ)?

The simplified form of (x + 3)2 + (x - 1)2 is

x, y and z are real numbers. If x3 + y3 + z3 = 13, x + y + z = 1 and xyz = 1, then what is the value of xy + yz + zx?

What is the equation of the line whose y­-intercept is 4 and making an angle of 45° with the positive x-­axis?

What is the value of 2 - 2z + z22 + 2z - z2, when z+2z = 2 ?

If a -­ b = 6 and ab =16, then a3 -­ b3 is