Quantitative Aptitude - Arithmetic Ability Questions

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

If a4 + 1 = [a2 /b2 ] (4b2 – b4 – 1), then what is the value of a4 + b4?

3cosA is equal to

The simplification value of 735+2-552+7+227+5 is

Pipes A, B, and C are attached to an empty cistern. While the first two can fill the cistern in 4 and 10 hours, respectively, the third can drain the cistern, when filled, in 6 hours. If all the three pipes are opened simultaneously when the cistern is three-fifth full, how many hours will be needed to fill the cistern?

If x + 3 ≤ 4x + 4 and 5(4 -­ x) ­- 4 ≥ 5x - ­2; then

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

In what ratio is the segment joining points (2, 3) and (-2, 1) divided by the Y-axis?