Quantitative Aptitude - Arithmetic Ability Questions

Coefficient of x in (x + 8)(6 -­ 3x) is

If √(1 + cot2A) = x, then the value of x is

What will be the next set of numbers in the series? (2,3), (3,5), (5,7), (7,11), (11,13), ___

The standard deviation of the set {10, 11, 12, 9, 8} is

Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of areas of triangle APQ: triangle ABC is 16:25. Then the ratio of AP:PB is?

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

What is the ratio of radius of incircle and circumcircle for an equilateral triangle with an area of 22√3 sq. units?

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