1500 soldiers arrive at a training camp. a few soldiers desert the camp. the drill sergeants divide the remaining soldiers into groups of ve and discover that there is one left over. when they divide them into groups of seven, there are three left over. when they divide them into groups of eleven, there are again three left over. determine the number of deserters.

Apinhole camera is made out of a light-tight box with a piece of film attached to one side and pinhole on the opposite side. the optimum diameter d(in millimeters) of the pinhole can be modeled by d=1.9[ (5.5 x 10^-4) l) ] ^1/2, where l is the length of the camera box (in millimeters). what is the optimum diameter for a pinhole camera if the camera box has a length of 10 centimeters