Quantitative Aptitude - Arithmetic Ability Questions

If(x + y)2 = xy + 1 and x3 – y3 = 1, then what is the value of x – y?

If (x – y) = 7, then what is the value of (x – 15)3 – (y – 8)3?

If cosθ1-sinθ+cosθ1+sinθ = 4, then the value of θ (0°<θ<90°)?

The third proportional of two numbers 12 and 48 is

A shopkeeper marks his goods 40% above the cost price and allows a discount of 25% on it. His gain % is

A piece of wire 132 cm long is bent successively in the shape of an equilateral triangle, a square and a circle. Then area will be longest in shape of

If θ is positive acute angle and 4sin2θ = 3, then the value of tan θ - cot θ/2 is

A can do a work in 12 days and B in 24 days. If they work on it together for 4 days, then what fraction of work is left?