Subject: Chinese remainder theorem
Date: Thu, 28 Aug 1997 21:10:47 +0800
From: TAN BENG SOON
There are fewer than 200 passengers on the train. If they get off in pairs, one passenger will be without a partner. If they get off in groups of 3 or 4, there will still be one passenger by himself. However, if they get off in groups of 5, no one will be left by themselves.
How many passengers are there on the train?