FILE No.55Unsolved
The attendee list of a meeting was lost. The person in charge is trying to confirm how many people were at the venue from interviews with participants.
Only part of the interview record remains. All four statements are true, and handshake partners were limited to participants of this meeting.
How many people were at the meeting in all? Look closely at the interview record and reason it out.
If you get stuck, open the hints one at a time, in order.
Is what remains the whole record or only part of it?
From Ogawa’s point of view, how many other participants are there?
Is Ogawa himself among those he shook hands with or those he did not?
How many people were at the meeting in all? Look closely at the interview record and reason it out.
Choose the answer closest to the truth.
Eight
The answer is “eight.”
Ogawa shook hands with the same number as Hayashi, three, and did not shake hands with four. Counting those Ogawa shook hands with and those he did not, the participants other than Ogawa number 3 + 4 = 7. Adding Ogawa himself, there were eight participants. Just because four were interviewed does not mean there were four participants. And since no one shakes hands with himself, remember to count yourself.
You get dragged by the four interviewed or forget to count Ogawa and stop at seven.
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