Quantitative Aptitude - Arithmetic Ability Questions

If a + b = 10 and ab = 24, then the value of a3 + b3 is

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

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 value of p if ­-3x -­ 11, x + p and 5x + 7 are in arithmetic progression.

ΔXYZ is right angled at Y. If m∠X = 30 deg, then find the value of (sinZ + √3).

What is the value of [(cos 3θ + 2cos 5θ + cos 7θ)÷(cos θ + 2cos 3θ + cos 5θ)] + sin 2θ tan 3θ?

What should be added to 3(x­ - 2y) to obtain 2(3x + y) -­ 5(2x + 3)?

What is the third proportional to 10 and 25?