In a quadrilateral ABCD, the bisectors of ∠A and ∠B intersect at P, ∠B and ∠C at Q, ∠C and ∠D at R and ∠D and ∠A at S, what kind of a quadrilateral is PQRS.

A.

Rectangle

B.

Rhombus

C.

Quadrilateral whose opposite angles are supplementary

From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. If the lengths of the perpendiculars are a, b and c, find the area of the triangle.

Coin A is flipped 3 times and coin B is flipped 5 times. What is the probability that the number of heads obtained from flipping the two coins is the same?

Two candles have different lengths and thickness. The shorter lasts 7 hours and the longer 4 hours when both are lit simultaneously. If after 2 hours of their being lit together at the same time, both have the same length, then find the ratio of their original lengths.