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108 sats \ 1 reply \ @SimpleStacker 2 Apr \ on: [Not-so-daily puzzle] Singapore at it, again science
This is trickier than it seems.
By statement 1, A needs to know that B doesn't know. How? Well, B can only know for sure if B sees an 18 or 19.
- If A sees May, B could have 15, 16, or 19. If it's 19, B would definitely know. Thus it can't be May.
- If A sees June, B could have 17 or 18, so it can't be June.
- If A sees July, B could have 14 or 16, so it could be July.
- If A sees August, B could have 14, 15, or 17 so it could be August.
By statement 2, B must now know. B knows it could only be July or August.
- If B had 14, he wouldn't be able to know still.
- If B has 16, he knows it's July 16. If B has 15 or 17, he knows it's August 15 or August 17.
By statement 3, A must now know.
- If B had 15 or 17 and A had August, A still wouldn't know the exact date in August.
- Therefore, it must be July 16.
WHEW
Finally. We collectively solve it
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