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Puzzle from my good friend and fellow Sporcle user, AuroraIllumina!

Eight children are riding the carousel: four girls (Anna, Beth, Claire, Diana), and four boys (Eric, Frank, George, Henry). It is your job to determine which position each of them is sitting in.

Rules:

  • The two people with 6-letter names are opposite each other (four seats apart)
  • None of the people with 5-letter names are adjacent to one another
  • Each boy is adjacent to exactly one girl
  • Exactly two people are in seats with the same number of letters in their name, both are boys
  • Frank is not adjacent to George
  • Beth and Claire are both the same distance from Anna (based on the number of seats)
  • If the carousel rotated 180 degrees, then three girls would end up in positions with the same number of letters as their names

enter image description here

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2 and 1

Claire Diana

3 and 8

Frank Beth

4 and 7

Eric Henry

5 and 6

Anna George

with the picture

enter image description here

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  • $\begingroup$ You seem to have used Claire twice and omitted Anna. $\endgroup$ – ThatOneNerdyBoy Oct 16 at 11:33
  • $\begingroup$ yep little mistake while rewritting $\endgroup$ – Deunis Oct 16 at 11:34
  • $\begingroup$ You got it, good job! $\endgroup$ – ThatOneNerdyBoy Oct 16 at 11:35
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Solution:

1 Diana
2 Claire
3 Frank
4 Eric
5 Anna
6 George
7 Henry
8 Beth

Why?

If the carousel rotated 180 degrees, then three girls would end up in positions with the same number of letters as their names.
> Claire has to be opposite of 6 > Claire=2
> Diana has to be opposite of 5 > Diana=1
> another girl has to be opposite of 4 > Anna/Beth=8

The two people with 6-letter names are opposite each other (four seats apart)
> since Claire is on 2, George has to be on 6

Each boy is adjacent to exactly one girl
> a girl has to be on 5 > Anna/Beth=5

Exactly two people are in seats with the same number of letters in their name, both are boys
> Eric has to be on 4

Frank is not adjacent to George
> only 3 is left for Frank
> only 7 is left for Henry

Beth and Claire are both the same distance from Anna (based on the number of seats)
> Beth=8 > Anna=5

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1. Diana (clue 7)
2. Claire (clue 7)
3. Frank (clue 5)
4. Eric (clue 3&4)
5. Anna (clue 6)
6. George (clue 3&4)
7. Henry (clue 5)
8. Beth (clue 6)

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