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February 1, 2025 16:46
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<USER> | |
### 5. Four Friends | |
Anna, Bartosz, Cezary, and Danuta are four friends. Each of them is preparing for a specific profession: archaeologist, bookkeeper, carpenter, and dentist. It is known that Bartosz will be a dentist. Only one of these people is training for a profession that starts with the same letter as their name, and that person is **not** Anna. | |
**What professions did Anna and Danuta choose?** | |
<ASSISTANT> | |
Here's how we can solve this logic puzzle: | |
1. **Bartosz is a dentist:** This is our starting point. | |
2. **Only one person's profession starts with the same letter as their name:** We know this person isn't Anna. | |
3. **Consider the initial letters:** | |
* Anna: A | |
* Bartosz: B | |
* Cezary: C | |
* Danuta: D | |
* Archaeologist: A | |
* Bookkeeper: B | |
* Carpenter: C | |
* Dentist: D | |
4. **Eliminate matches:** Since only one person's profession matches their name's initial letter, and it's not Anna, we can eliminate the following: | |
* Anna cannot be an archaeologist. | |
* Bartosz is already a dentist. | |
* Cezary cannot be a carpenter. | |
* Danuta cannot be a dentist. | |
5. **Consider Bartosz again:** Since Bartosz is a dentist, and only one person's profession starts with the same letter as their name, no one else can have a profession that starts with the same letter as their name. | |
6. **Deduce Danuta's profession:** Danuta cannot be a dentist. Since Anna can't be an archaeologist, and Cezary can't be a carpenter, the only remaining option for Danuta must be archaeologist. | |
7. **Deduce Anna's profession:** Since Bartosz is a dentist, Danuta is an archaeologist, and Cezary cannot be a carpenter, Anna must be a carpenter. | |
8. **Deduce Cezary's profession:** The only remaining profession is bookkeeper, so Cezary must be a bookkeeper. | |
**Therefore:** | |
* **Anna is training to be a carpenter.** | |
* **Danuta is training to be an archaeologist.** |
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