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?

If (sinA + CosA)/(sin A - cos A) = 5/4, the value of (tan2A + 1)/(tan2A - 1) = ?

If x2+5x+6 = 0, then the value of 2xx2-7x+6 is

The area of a rhombus is 24 m2 and the length of one of its diagonals is 8 m. The length of each side of the rhombus will be:

In what ratio does the point T(x,0) divide the segment joining the points S(-4,-1) and U(1,4)?

Two numbers are 35% and 40% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?

A mason can build a wall in 18 hours. After 9 hours he takes a break. What fraction of the wall is yet to be built?

The line passing through the point (5,a) and point (4,3) is perpendicular to the line x - 6y = 8. What is the value of 'a'?