Quantitative Aptitude - Arithmetic Ability Questions

What is the equation of the line whose y­-intercept is ­3/4 and making an angle of 45° with the positive x-­axis?

If Cot θ = 24/7, then Sin θ = ?

If the amount received at 10% per annum Compound interest after 3 yrs is Rs 19965, then what will have been the principal (in Rs) amount?

If a3 + b3 + c3 - 3abc = 0, then the value of a2/bc + b2/ac - 3.

Simplify 576b3x2a4z3/36a3b2z

What is the value of a-b when a2+b2-6a-6b+18 = 0 ?

If XY = a+23 and YX = 13, then find the value of X2 + Y2X2 - Y2.

If x = 1 + √2 + √3 , then the value of 2x4 - 8x3 - 5x2 + 26x - 28 is