Quantitative Aptitude - Arithmetic Ability Questions

If a + a2 + a3 – 1 = 0, then what is the value ofa3 + (1/a)?

If θ be positive acute angle and 5cosθ + 12sinθ = 13, then the value of cosθ is

If a + b + c = 9, ab + bc + ca = 26, a3 + b3 = 91, b3 + c3 = 72 and c3 + a3 = 35, then what is the value of abc?

Which of the following conditions is TRUE for the two line segments AB and CD to be congruent?

What are the co-ordinates of the centroid of a triangle, whose vertices are A(1, -5), B(4, 0) and C(-2, 2)?

What number should be added to each of the numbers 94, 24, 100 and 26, so that the resulting numbers are in continued proportion?

If P = 22 + 62 + 102 + 142 + ... 942 and Q = 12 + 52 + 92 + ... 812, then what is the value of P – Q?

Find the odd word/letters/number pair from the given alternatives.