In Smallville there are six houses. At halloween time, each house has a selection of three types of candy, none of which is found at any other house.
Every child gets exactly one candy at every house.
Last night in Smallville it happened that no two children got identical collection of candies in their bags. Last year the price of kumquats increased by 30 percent while the price of persimmons decreased by 20 percent. Two identical sewerlines which are circular cylinders with inside diameters of 6 inches are to feed into a single main sewerline which is also a circular cylinder. Find two positive integers whose product is 24,999,999 and whose positive difference is as small as possible. The diagonals of a quadrilateral Q are perpendicular to each other and have lengths 12 and 7, respectively.