Ana baked 15 pasties. She placed them on a round plate in a circular
way: 7 with cabbage, 7 with meat and 1 with cherries in that exact order
and put the plate into a microwave. She doesn’t know how the plate has been rotated
in the microwave. She wants to eat a pasty with cherries. Is it possible for Ana, by trying no more than three pasties, to find exactly where the pasty with cherries is?
1. **Initial Setup and Assumptions:**
   - Ana has 15 pasties arranged in a circular manner: 7 with cabbage, 7 with meat, and 1 with cherries.
   - The arrangement is unknown due to the rotation of the plate in the microwave.
   - Ana needs to find the cherry pasty by trying no more than three pasties.

2. **First Guess:**
   - Ana picks any pasty as her first guess.
   - If this pasty is the cherry pasty, she is done.
   - If it is not the cherry pasty, there are two possibilities: it is either a cabbage pasty or a meat pasty.

3. **Case 1: First Guess is Cabbage:**
   - Assume Ana's first guess is a cabbage pasty.
   - She will then skip three pasties counterclockwise and make her second guess.
   - If the second guess is the cherry pasty, she is done.
   - If the second guess is another cabbage pasty, she will skip one more pasty counterclockwise and make her third guess.
     - If the third guess is the cherry pasty, she is done.
     - If the third guess is a meat pasty, the pasty she skipped is the cherry pasty.
   - If the second guess is a meat pasty, the pasty she skipped is the cherry pasty.

4. **Case 2: First Guess is Meat:**
   - Assume Ana's first guess is a meat pasty.
   - She will then skip three pasties counterclockwise and make her second guess.
   - If the second guess is the cherry pasty, she is done.
   - If the second guess is another meat pasty, she will skip one more pasty counterclockwise and make her third guess.
     - If the third guess is the cherry pasty, she is done.
     - If the third guess is a cabbage pasty, the pasty she skipped is the cherry pasty.
   - If the second guess is a cabbage pasty, the pasty she skipped is the cherry pasty.

5. **Conclusion:**
   - By following the above strategy, Ana can always find the cherry pasty in no more than three guesses.

The final answer is $\boxed{\text{Yes}}$