The Ingenuity Of An Army ClerkNumber Theory Level 4
The Army’s computers have been hacked, and their data is being erased from the screen. The Supply Sergeant, who is in charge of outfitting an incoming platoon of 250 recruits that day, starts to panic about the loss of data.
Just before their inventory disappears, a smart clerk finds and scribbles down that they have 1126 individual items sitting in the storeroom from the shipments they just received. This clerk also knows that the army berets came in stacks of 140, rifles in piles of 105, uniforms in crates of 84, and boots in boxes of 60 pairs.
The Supply Sergeant doesn't know if he will be able to outfit the entire company of 250 recruits, so that each recruit gets a beret, a rifle, a uniform, and a pair of boots. The clerk thinks he can deduce it. Are the supplies in the storeroom sufficient, or will they need more?