Quantitative Aptitude - Arithmetic Ability Questions

The difference between the largest and the smallest angles of a triangle whose angles are in the ratio of 5:3:10 is

If a + b = 1, then a4 + b4 - a3 - b3 - 2a2b2 + ab is equal to

If cosθ = x2-y2x2+y2, then the value of cotθ is

What is the third proportional to 10 and 25?

If the Arithmetic mean of 7, 5, 13, x and 9 is 10, then the value of x is

What are the co­ordinates of the centroid of a triangle, whose vertices are A(­2,­5), B(4,­4) and C(7,3)?

What is the equation of the line passing through the point (1,3) and making an angle of -45° with the positive x-axis?

What is the value of (cot60 + 1/√3) ?