Math and Logic Puzzles: Redux

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Post Post #106 (isolation #0) » Thu Oct 31, 2019 3:58 am

Post by Plotinus »

Spoiler: StrangerCoug's sudoku
189273654
367458912
524961738
852739146
736142895
941586327
415697283
698324571
273815469


after filling in the trivial squares, i did some hypotheticals with the 7s by putting my fingers on the paper to show where the slots would be filled, the first place i put my fingers didn't yield anything promising either way, but the second place, the 2nd row 3rd column, if i hypothetically filled that one in, then all of the 7s would be forced to be filled in, so i coloured those in partially lightly to see where it would take me, and that was enough to fill in the rest of the board.

Image
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Post Post #109 (isolation #1) » Wed Jan 01, 2020 6:39 am

Post by Plotinus »

Spoiler: haven't looked at your hints
7. Since z is 4, we know the product of x and y is 48. The average of x + y is minimised when they are close together. You can see this by examining the extremes: if they are 1 and 48 then the average is 24.5, if they are 6 and 8 then the average is 7.


Spoiler: after looking at hints
Ah, the answer to the question as written is -24.5. The question should have said positive integers
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Post Post #117 (isolation #2) » Mon Feb 03, 2020 8:34 am

Post by Plotinus »

Spoiler:
145.

The factorial numbers go 1, 2, 6, 24, 120, 720. The 7th is four digits long so we can cross off 720. It's 3 digits long so it has to have 120 in there, so the first digit is 1, and there's also a 5 and then it's constrained enough that you can see it at a glance
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