8 gallons of milk are taken out of a cask filled with milk and replaced by water. Later 6 gallons of the mixture are taken out of the cask and replaced with water, with the result that the cask now contains equal proportions of milk and water. What is capacity of the cask?
Correct Answer : C
The director of a marching band wishes to place the members into a formation that includes all of them and has no unfilled positions. If they are arranged in a square formation, there are 5 members left over. The director realizes that if he arranges the group in a formation with 7 more rows than columns, there are no members left over. Find the maximum number of members this band can have