Required Mathematical Intelligence

Chapter 37 Mr. Bottle and Mr. Door Go to a Meeting

Recently, our factory is adjusting the work.Workers A, B, C, D, E, F, and G still don't quite know who is doing what among the seven jobs of opening doors, closing doors, wiping door handles, washing bottles, sweeping foremen, welfare officers, and workers.

Four of them were selected as factory representatives to participate in discussions about the development policy for the next ten years.The four of them are called Mr. Foley, Mr. Sweeper, Mr. Bottle and Mr. Door.Although each of them knew their own title, they did not know the title of the others.

These four representatives took notes based on what they said when they attended the meeting as follows:
Mr. Foley: (1) F is the bottle washer. (2) B is a worker. (3) D is not Mr. Bottle.

Mr. Sweeper: (1) A is a worker. (2) C is not Mr. Bottle.

Mr. Bottle: (1) E is the welfare officer. (2) B is the bottle washer.

Mr. Men: (1) D is a worker. (2) C is the bottle washer. (3) The work of G has nothing to do with the gate.

Interestingly but not surprisingly, each of the above sentences is true if the person mentioned was present, and if the person mentioned is one of the three who were not present, then the sentence is true. Sentences are false (no one mentioned their name in the speech, and the title mentioned in the meeting is not necessarily related to their current job).

Who are the four people at the meeting?What is their current job?
[Answer: Analyzing the words of the four people, at least two of the three sentences referring to the bottle washers should be false, and at least two of the three sentences referring to the workers should be false, so at least two of BCF were absent, and at least two of ABD No one was present, but only three people were absent...

The correct answer is:
Mr. Foley is C, and he is now the bottle washer.

Mr. Sweeper is D, now a worker.

Mr. Bottle is G, and he is the sweeping foreman now.

Mr. Door is E, and he is a welfare officer now. ]
(End of this chapter)