BrainDen.com - Brain Teasers # bonanova

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1. bonanova's post in A paradox? of two chests was marked as the answer

3. bonanova's post in Cutting a dorito was marked as the answer
Seems like

4. bonanova's post in Figure Skating Scoring was marked as the answer
5. bonanova's post in A perfect lamp was marked as the answer
@DejMar, I agree, there are noninteger too: the time intervals the lamp spends in one or the other state: the "on" times plus the "off" times sum to 2 minutes. The lamp is "on" more than it's off, but we can determine these times without ambiguity. I would add these nonintegers are limited to the rationals, however, not the reals. Still,

6. bonanova's post in An Associative fallacy was marked as the answer
Association holds for finite series. Infinite series converge only under certain conditions, which fail in this case. So it's not proper to give the series a value at all. But let's ignore that and call the series S anyway. Then what is S? Clearly it's 1/2:

7. bonanova's post in Finding a triangle in a circle was marked as the answer
I think your answer is right. Mine is overkill. Are you sure that

8. bonanova's post in Find The Three Fastest was marked as the answer
9. bonanova's post in cutting a circle to find a point was marked as the answer
Here's another try at distinguishing our ways of looking at this problem.

10. bonanova's post in Interesting question about poker card. was marked as the answer
11. bonanova's post in Famous Golf Hustle was marked as the answer
12. bonanova's post in Roll Them Out was marked as the answer
13. bonanova's post in Flying around was marked as the answer
Perhaps sailing around, as well? Nice puzzle!
14. bonanova's post in Red, yellow, and blue pigment was marked as the answer
Let's finish this puzzle.
15. bonanova's post in Partitioning a Triangle into similar pieces was marked as the answer
 Yes, I think so. Dissection lines must join an existing vertex to an existing side at a right angle. The process can be continued an infinite number of times, because a self-similar figures is reached after each group ot two lines. This says the first two cuts determine the size ratios, and those ratios remain fixed. Simple inspection will show the ratios are determined by the size of the acute angle..
I don't know of a dissection scheme for non-right triangles.
BTW, and I'm sure this is obvious, I only had to mark ONE of the acute angles as being preserved, since the other acute angle is its complement.
 There are some anomalies in the new version. I'm discussing this one with Site Admin at present. It happened in other threads as well. Meantime check the post dates to be determine the right sequence. To doubt, use the "Quote" feature, as I did here.
16. bonanova's post in Lock spell was marked as the answer
Or do the words have to form a sentence?
17. bonanova's post in some 5 minute brain teasers was marked as the answer
18. bonanova's post in Sliding swing was marked as the answer
19. bonanova's post in Supernova was marked as the answer
20. bonanova's post in A triangle defined by cevians was marked as the answer
21. bonanova's post in Painting Blocks was marked as the answer
@gavinksong, I get W for your example.

22. bonanova's post in Shadows on fence posts was marked as the answer
plasmid's analysis is fairly complete. It begins with "depends on ... ," which is another way of saying the question can't be answered without more information than the OP gives. I will add to the information contained in the OP the assumption that the puzzle creator has fulfilled the burden of providing sufficient information for an answer to be reached.

23. bonanova's post in n!+1 is composite was marked as the answer
24. bonanova's post in Kids grabbing nuts was marked as the answer
25. bonanova's post in What can you conclude from the following statements? was marked as the answer
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