Skip to content

Instantly share code, notes, and snippets.

@przadka
Created February 1, 2025 16:15
Show Gist options
  • Save przadka/997f175c7c32232ecc45ed7e151c827d to your computer and use it in GitHub Desktop.
Save przadka/997f175c7c32232ecc45ed7e151c827d to your computer and use it in GitHub Desktop.
o3-mini-jobs
<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>
We are given four friends and four professions:
- **Friends:** Anna, Bartosz, Cezary, Danuta.
- **Professions:** archaeologist, bookkeeper, carpenter, dentist.
The information provided is:
1. **Bartosz will be a dentist.**
2. **Only one person’s profession starts with the same letter as their name, and that person is not Anna.**
Let’s analyze the possibilities:
### Step 1. Identify the Possible “Letter-Matching” Cases
A profession “matches” a friend if the initial of the friend’s name is the same as the initial of the profession.
- **Anna:** Could match if she were an **archaeologist** (A vs. A).
- **Bartosz:** Would match if he were a **bookkeeper** (B vs. B), but we know he is a dentist.
- **Cezary:** Would match if he were a **carpenter** (C vs. C).
- **Danuta:** Would match if she were a **dentist** (D vs. D), but dentist is taken by Bartosz.
Thus, the only possibilities for a matching pair are:
- Anna as archaeologist, or
- Cezary as carpenter.
### Step 2. Apply the Clue About Only One Matching and It’s Not Anna
The clue states that **only one person** has a matching initial, and that person is **not Anna**.
- If Anna were an archaeologist, she would be the matching case. That would violate the condition because the matching person cannot be Anna.
- Therefore, **Anna cannot be the archaeologist**.
Thus, the matching case must be **Cezary as a carpenter**.
### Step 3. Determine the Professions for Anna and Danuta
So far, we have:
- **Bartosz:** Dentist (given).
- **Cezary:** Carpenter (to satisfy the matching condition).
That leaves the two remaining professions: **archaeologist** and **bookkeeper** for Anna and Danuta.
Since Anna cannot be archaeologist (because that would be a match for her), she must be the **bookkeeper**.
That means Danuta must be the **archaeologist**.
### Final Answer
- **Anna** is the **bookkeeper**.
- **Danuta** is the **archaeologist**.
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment