Can You Solve the Mystery of the Tape Recorder Riddle?

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Discussion Overview

The thread discusses a series of logic riddles, starting with a murder mystery involving a tape recorder. Participants engage in solving the riddles and propose new ones, while also debating the implications and reasoning behind the answers.

Discussion Character

  • Exploratory
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant presents a riddle involving a murder mystery and a tape recorder, suggesting that the presence of the tape implies it was not a suicide.
  • Another participant questions how the gunshot heard on the tape could be definitively linked to the victim's death.
  • Several participants discuss the mechanics of the tape recorder, noting that if the victim had committed suicide, he could not have rewound the tape for the police to listen.
  • Some participants express uncertainty about the number of shots fired and the implications of the riddle's setup.
  • A new riddle is introduced involving three scientists and colored symbols, prompting further discussion about logical reasoning and assumptions.
  • Participants debate the reasoning behind the scientists' silence and the implications of their observations regarding the colors of the symbols.
  • There are differing opinions on the complexity of the riddles and the reasoning required to solve them.

Areas of Agreement / Disagreement

Participants generally agree on the initial riddle's solution regarding the tape recorder, but there is no consensus on the reasoning behind the scientists' riddle or the assumptions made about their intelligence and decision-making processes.

Contextual Notes

Some participants express confusion over the assumptions made in the riddles, particularly regarding the number of shots and the reasoning behind the scientists' conclusions. The discussion reflects varying interpretations of the riddles and the logical deductions involved.

  • #61
does it involve adding, subtraction, mult... you get it, so does it?
 
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  • #62
It involves subtraction, but not in the way you think. It also involves addition, but in an even weirder way than the subtraction.

(Basically, if you think the pattern is anything akin to add one, subtract two, etc. you're on the wrong track. There is no such rule, really.)
 
  • #63
I have the feeling this puzzle is a bit too freakishly difficult, so here comes a big hint:

The sequence is very closely related to this one:

1
10, 1
11, 10, 2, 1
100, 11, 10, 3, 2, 1
...
?

If you're still stuck, I'll give the fifth row of the above sequence, although it kind of gives it away.
 
  • #64
30, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1
 
  • #65
You have part of it, but you're missing the first 12 numbers, and one of the 32s.
 
  • #66
18, 19, 20, 21, 22, 23, 24, 25,, 26, 27, 28, 29, 30, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1
 
  • #67
You have it right from 24 on, but the bit before that is wrong.
Think about how the first sequence might relate to the second sequence, and see if that helps. Tell me if you want the next row for the second sequence.
 
  • #68
20, 21, 22, 23, 24, 25, 24, 25,, 26, 27, 28, 29, 30, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1
 
  • #69
Nope, colder.
 
  • #70
I give up, give another.
 
  • #71
Here's the original sequence:

1
2, 1
3, 3, 2, 1
4, 4, 4, 3, 2, 1
5, 9, 10, 11, 12, 12, 12, 12, 12, 12, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1

Here's the second sequence:

1
10, 1
11, 10, 2, 1
100, 11, 10, 3, 2, 1
101, 100, 22, 21, 20, 15, 14, 13 , 12, 11, 10, B, A, 9, 8, 7, 6, 5, 4, 3, 2, 1

Two entries in the last row should be a big hint as to what kind of problem this is. How do these sequences relate? Dividing into columns may help.
 
  • #72
To get the original sequence from the second sequence: find the representation in base 10 for each number in a row assuming that the number in the nth column is represented in base (n + 1). For instance, in the last row 101 base 2 is 5 base 10, 100 base 3 is 9 base 10, 22 base 4 is 10 base 10, 21 base 5 is 11 base 10, etc.
But I don't yet see how to get the second sequence.
 
  • #73
Now I see how to get the second sequence.

101 -1 (base 2) = 100
100 -1 (base 3) = 22
22 - 1 (base 4) = 21
21 - 1 (base 5) = 20
20 - 1 (base 6) = 15
etc.
So the next line in the second sequence is:
110, 101, 100, 33, 32, 31, 30, 27, 26, 25, 24, 23, 22, 21, 20, 1F, 1E, 1D, 1C, 1B, 1A, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, V, U, T, S, R, Q, P, O, N, M, L, K, J, I, H, G, F, E, D, C, B, A, 9, 8, 7, 6, 5, 4, 3, 2, 1

Converting to the original sequence we get:

6, 10, 16, 18, 20, 22, 24, 25, 26, 27, 28, 29, 30, 30, 31, 32, ..., 32, 31, 30, ..., 1
 
Last edited:
  • #74
Jimmy is correct. Good Job! You get the next puzzle.
 
  • #75
whew! :biggrin:
 
  • #76
j-j-j-j-jimmay!
 
  • #77
It is now my turn to propose a puzzle. I do not intend to do so. I mean no disrespect, but I sincerely hope that this thread will not continue. The reason is that when there is one puzzle per thread, we can more easily reference the puzzles. I'm sorry if I offend, and I open the floor to anyone who has a puzzle to propose and doesn't want it to show up in the forum in a thread of its own.
 
  • #78
The point of this forum is mostly to share interesting puzzles and to challenge each other to figure them out, not to catalogue brain teasers. If it were, it'd have more than 2 pages and my binary sequence thread will still be on here. This thread in particular, was created purely to have some fun, and to add some incentive to solving puzzles. I, for one, hope this thread lasts a while. (By the way, there are similar threads in General Physics and General Math)

Anyone's turn for a puzzle. I had the last one, I'm not taking it.
 
  • #79
Curved when I'm small
Flat when I'm all
Infanite is all
big, wide and tall

I extend in three directions
a paridox of perplexions

What am I?
 
  • #80
Space?...
 
  • #81
no, it's a lot harder.
 
  • #82
Earth?...
 
  • #83
warmer, still pretty far off
 
  • #84
It's a sphere[/color]
 
  • #85
jimmy got it, but he's not really doing this so people keep guessing
 
  • #86
a box might fit ?
 
  • #87
sorry...boxes[/color] aren't curved
 
  • #88
There is already a thread for this type of thing (one of the stickies, in fact) and it was abandoned. When each puzzle has a link of its own you can reference them better. Not store them, reference them. You can go straight to the puzzle you want when it has its own link.
 
  • #89
BicycleTree said:
There is already a thread for this type of thing (one of the stickies, in fact) and it was abandoned. When each puzzle has a link of its own you can reference them better. Not store them, reference them. You can go straight to the puzzle you want when it has its own link.
I like this thread. It's GREAT. You get new riddles quicker than you would if it wasn't here. Big deal if you can't reference them, you get lots and it's fun. Anyway, someone already brought this point up, you don't have to make it again. I can't answer this riddle though cos I already looked at the answer. I find it really hard not to look at the things in white. :mad:
 
  • #90
yomamma said:
Curved when I'm small
Flat when I'm all
Infanite is all
big, wide and tall

I extend in three directions
a paridox of perplexions

What am I?

Um... a closed 4-sphere? So it extends in 3 dimensions but still "curves" in 4-space, and "infinite" in 3-space.
 

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