Quantitative Aptitude - Arithmetic Ability Questions

If 5/2 - (6/5)(x - 15/2) = -x/5, then what is the value of x?

x, y and z are real numbers. If x3 + y3 + z3 = 13, x + y + z = 1 and xyz = 1, then what is the value of xy + yz + zx?

What must be the length (in cm) of the diagonal of a rectangle if its area and breadth are 60 cm² and 5 cm respectively?

Find the 4th proportional to 9, 17 and 27.

If Sinθ = √3/2 and 0°<θ<90°, then the value of tan(θ-15°) is

The numbers x, y, z are respectively proportional to 2, 3, 5 and the sum of x, y and z is 80. If the number z is given by the equation z = ax­-8, then a is

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

Given: 6x + 2(6-x) > 2x -2 < 5x/2 - 3x/4; then x can take which of the following values?