# Bulls and Cows

**URL:** <https://boards.straightdope.com/t/bulls-and-cows/917561>\
**Category:** Thread Games\
**Created:** [August 8, 2020, 5:39am UTC](https://boards.straightdope.com/t/bulls-and-cows/917561 "2020-08-08T05:39:49Z")\
**Posts on this page:** 14\
**Page:** 9

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**Author:** ![bibliophage](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/bibliophage/32/7615_2.png) [@bibliophage](https://boards.straightdope.com/u/bibliophage)\
**Post date:** [August 12, 2020, 6:28pm UTC](https://boards.straightdope.com/t/bulls-and-cows/917561/161 "2020-08-12T18:28:23Z")

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8105 has one bull and one cow. I believe that narrows it down to only one possibility, though it’s entirely possible that I’m mistaken.

| # | guess | bulls | cows |
| --- | --- | --- | --- |
| 1 | 1234 | 0 | 1 |
| 2 | 5678 | 0 | 2 |
| 3 | 0912 | 0 | 2 |
| 4 | 9056 | 0 | 2 |
| 5 | 7195 | 2 | 0 |
| 6 | 7520 | 0 | 2 |
| 7 | 8105 | 1 | 1 |

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**Author:** ![PlaceboTarget](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/placebotarget/32/1073_2.png) [@PlaceboTarget](https://boards.straightdope.com/u/PlaceboTarget)\
**Post date:** [August 13, 2020, 3:10am UTC](https://boards.straightdope.com/t/bulls-and-cows/917561/162 "2020-08-13T03:10:05Z")

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1.

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**Author:** ![bibliophage](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/bibliophage/32/7615_2.png) [@bibliophage](https://boards.straightdope.com/u/bibliophage)\
**Post date:** [August 13, 2020, 3:13am UTC](https://boards.straightdope.com/t/bulls-and-cows/917561/163 "2020-08-13T03:13:00Z")

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3476 has no bulls and no cows.

| # | guess | bulls | cows |
| --- | --- | --- | --- |
| 1 | 1234 | 0 | 1 |
| 2 | 5678 | 0 | 2 |
| 3 | 0912 | 0 | 2 |
| 4 | 9056 | 0 | 2 |
| 5 | 7195 | 2 | 0 |
| 6 | 7520 | 0 | 2 |
| 7 | 8105 | 1 | 1 |
| 8 | 3476 | 0 | 0 |

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<div class="post-metadata">

**Author:** ![PlaceboTarget](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/placebotarget/32/1073_2.png) [@PlaceboTarget](https://boards.straightdope.com/u/PlaceboTarget)\
**Post date:** [August 13, 2020, 3:25am UTC](https://boards.straightdope.com/t/bulls-and-cows/917561/164 "2020-08-13T03:25:56Z")

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1.

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<div class="post-metadata">

**Author:** ![bibliophage](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/bibliophage/32/7615_2.png) [@bibliophage](https://boards.straightdope.com/u/bibliophage)\
**Post date:** [August 13, 2020, 3:28am UTC](https://boards.straightdope.com/t/bulls-and-cows/917561/165 "2020-08-13T03:28:38Z")

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Same result: 3170 has no bulls and no cows.

| # | guess | bulls | cows |
| --- | --- | --- | --- |
| 1 | 1234 | 0 | 1 |
| 2 | 5678 | 0 | 2 |
| 3 | 0912 | 0 | 2 |
| 4 | 9056 | 0 | 2 |
| 5 | 7195 | 2 | 0 |
| 6 | 7520 | 0 | 2 |
| 7 | 8105 | 1 | 1 |
| 8 | 3476 | 0 | 0 |
| 9 | 3170 | 0 | 0 |

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<div class="post-metadata">

**Author:** ![PlaceboTarget](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/placebotarget/32/1073_2.png) [@PlaceboTarget](https://boards.straightdope.com/u/PlaceboTarget)\
**Post date:** [August 13, 2020, 3:33am UTC](https://boards.straightdope.com/t/bulls-and-cows/917561/166 "2020-08-13T03:33:12Z")

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I wonder what the secret number is. 🤔  
Can anybody help us here?

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<div class="post-metadata">

**Author:** ![PlaceboTarget](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/placebotarget/32/1073_2.png) [@PlaceboTarget](https://boards.straightdope.com/u/PlaceboTarget)\
**Post date:** [August 14, 2020, 7:38am UTC](https://boards.straightdope.com/t/bulls-and-cows/917561/167 "2020-08-14T07:38:12Z")

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We are still waiting for someone to guess the secret number.

* * *

In the meantime I have a different kind of secret number:

🔴 🟠 🟢 🔵

Here’s some information about it:

🔴 + 🟠 = 🟢 + 🔵

4 🟢 - 7 🔴 = 🔴 - 🟠

What is the number symbolized by the colored circles?

* * *

Or you can guess **bibliophage** ’s secret number. 🙂

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<div class="post-metadata">

**Author:** ![bibliophage](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/bibliophage/32/7615_2.png) [@bibliophage](https://boards.straightdope.com/u/bibliophage)\
**Post date:** [August 14, 2020, 5:11pm UTC](https://boards.straightdope.com/t/bulls-and-cows/917561/168 "2020-08-14T17:11:01Z")

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0 0 0 0. What do I win?

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<div class="post-metadata">

**Author:** ![PlaceboTarget](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/placebotarget/32/1073_2.png) [@PlaceboTarget](https://boards.straightdope.com/u/PlaceboTarget)\
**Post date:** [August 14, 2020, 5:52pm UTC](https://boards.straightdope.com/t/bulls-and-cows/917561/169 "2020-08-14T17:52:15Z")

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😅

Yeah, I forgot to mention that the same rules apply.  
You can only use a digit once in this number.

You were close though.

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<div class="post-metadata">

**Author:** ![bibliophage](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/bibliophage/32/7615_2.png) [@bibliophage](https://boards.straightdope.com/u/bibliophage)\
**Post date:** [August 14, 2020, 6:18pm UTC](https://boards.straightdope.com/t/bulls-and-cows/917561/170 "2020-08-14T18:18:11Z")

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The solution is not unique. I have found three solutions so far.

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<div class="post-metadata">

**Author:** ![PlaceboTarget](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/placebotarget/32/1073_2.png) [@PlaceboTarget](https://boards.straightdope.com/u/PlaceboTarget)\
**Post date:** [August 14, 2020, 6:35pm UTC](https://boards.straightdope.com/t/bulls-and-cows/917561/171 "2020-08-14T18:35:22Z")

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> [@bibliophage](#):
>
> I have found three solutions so far.

You’re too good. This was just a distraction. A way to bump this thread.  
I don’t think there are enough people to sustain this idea, so I’ll just let it die now.

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<div class="post-metadata">

**Author:** ![PlaceboTarget](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/placebotarget/32/1073_2.png) [@PlaceboTarget](https://boards.straightdope.com/u/PlaceboTarget)\
**Post date:** [August 16, 2020, 9:36am UTC](https://boards.straightdope.com/t/bulls-and-cows/917561/172 "2020-08-16T09:36:50Z")

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> [@bibliophage](#):
>
> The solution is not unique.

I guess I’m restless. I’ve come up with additional clues so that the solution should not be ambiguous anymore:

So, this is a a different kind of secret number:

🔴 🟠 🟢 🔵

Each digit must occur in this number only once.  
Here is the complete (I hope) list of clues about it:

🔴 + 🟠 = 🟢 + 🔵

4 🟢 - 7 🔴 = 🔴 - 🟠

2 🟢 - 2 🔴 = 2 🟠

9 🔴 - 5 🟢 = 🔵

What is the number symbolized by the colored circles?

* * *

Or you can guess **bibliophage** ’s secret number. 🙂

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<div class="post-metadata">

**Author:** ![Tinmansd](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/tinmansd/32/3618_2.png) [@Tinmansd](https://boards.straightdope.com/u/Tinmansd)\
**Post date:** [August 26, 2020, 8:30pm UTC](https://boards.straightdope.com/t/bulls-and-cows/917561/173 "2020-08-26T20:30:30Z")

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8169?

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<div class="post-metadata">

**Author:** ![PlaceboTarget](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/placebotarget/32/1073_2.png) [@PlaceboTarget](https://boards.straightdope.com/u/PlaceboTarget)\
**Post date:** [August 27, 2020, 3:15pm UTC](https://boards.straightdope.com/t/bulls-and-cows/917561/174 "2020-08-27T15:15:46Z")

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8169? Please look at the first hint. Does 8+1 = 6+9 ? No, it doesn’t.

[Previous page](https://boards.straightdope.com/t/bulls-and-cows/917561.md?page=8)
