Quantitative Aptitude - Arithmetic Ability Questions

α and β are the roots of quadratic equation. If α + β = 8 and α – β = 2√5, then which of the following equation will have roots α4 and β4?

What is the simplest form of (1 + cosA)(cosecA ­ cotA)?

If cosA/(1 - sinA) = x, then the value of x is

What is the value of 128 + 7232

 In the triangle ABC, the internal bisector of angle A meets the side BC at D. If BD=7.5 cm and BC=9 cm. Then calculate the value of AB:AC.

Three triangles are marked out of a bigger triangle at the three vertices such that each side of each of the smaller triangles is one-fourth as long as each corresponding side of the bigger triangle. The ratio of the area of the three small triangles taken together to that of the rest of the bigger triangle is

What is the slope of the line perpendicular to the line passing through the points (8,­2) and (3,­1)?

If x stands for addition, / stands for subtraction, + stands for multiplication and - stands for division, then what is the value of 20 x 8 / 8 - 4 + 2 ?