If 5x + 4(1 -­ x) > 3x - ­4 > 5x/3 -­ x/3; then x can take which of the following values?

The sum of the digits of a 2­digit number is 17. If we add 9 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.

If x + y = 10 and x2 + y2 = 68, then find xy

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

The diameter of a circle is 28 cm find its area?

What is the measure of an interior angle of a regular dodecagon?

Find equation of the perpendicular bisector of segment joining the points (2,­6) and (4,0)?

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 AP:PB is 2:5, and area of Δ APQ is 4 sq cm, what is the area of trapezium PQCB?