4
$\begingroup$

Alice the Witch had a great night last night. She'd had a Halloween night house party with five of her closest friends from Witch College that she hadn't seen for ages. They had been drinking and gossiping and laughing until the sun had almost come up. Even their familiars had behaved well too (except for Gertie's which had a minor argument with the snake and the toad).

Each guest had brought some of her favourite party food with them (the Spider Soup in particular had been fantastic).

However, this morning she discovered that each of her friends had left something important behind. Even her own head was a bit fuzzy and she could only remember a few details of who had brought what, the order in which they had arrived, or which familiar each of them had brought.

Question: Can you help Alice remember which witch had brought each of the dishes and help her reunite her friends with their possessions?

  1. Neither the witch who brought a rat, nor the one who left without her glasses, nor Janice, nor the one who brought Pumpkin Pie arrived second at the party.
  2. Ethel, the guest who brought the Savoury Slime, the one that left without her hat, the one with a pet bat, and the one that arrived third were all different witches.
  3. The Liquorice Leeches arrived before the witch who left her cauldron behind who arrived before Gertie.
  4. The owner of the rat arrived before the witch who forgot her ruby slippers, but after the one who brought Cobweb Cookies.
  5. Frances arrived at almost the same time as the witch who brought her toad.
  6. Ethel arrived either directly before or directly after the witch with a snake.
  7. The cauldron-forgetter and the rat owner were not the same witch, in fact exactly one witch arrived between them.
  8. The witch who left her wand behind arrived two positions from the owner of the cat.
  9. At least one witch arrived between Gertie and the owner of the cat.
  10. At least one witch arrived between Hettie and the rat-owner.
  11. Either the witch who forgot the hat or the witch who forgot the cauldron was also the owner of one of the mammals.
$\endgroup$
6
  • $\begingroup$ For point 8: "two positions from" -> one or two persons bettween the two? $\endgroup$ Nov 1, 2015 at 11:30
  • $\begingroup$ @thedarktruth One witch in between $\endgroup$
    – Gordon K
    Nov 1, 2015 at 12:11
  • $\begingroup$ Does hint 1 imply that the 4 witches are all different? Does hint 11 imply that one of the 2 witches doesn't have a mammal? $\endgroup$
    – Sleafar
    Nov 1, 2015 at 13:33
  • $\begingroup$ @Sleafar Yes on both accounts $\endgroup$
    – Gordon K
    Nov 1, 2015 at 14:07
  • $\begingroup$ Regarding the hints "arrived between A and B", does this imply A came before B, or is B before A also possible? $\endgroup$
    – Sleafar
    Nov 1, 2015 at 15:20

1 Answer 1

2
$\begingroup$

The answer is

Order Name Food Item Familiar
1 Ethel Liquorice Leeches Glasses Cat
2 Hettie Savoury Slime Cauldron Snake
3 Janice Cobweb Cookies Wand Toad
4 Frances Spider Soup Hat Rat
5 Gertie Pumpkin Pie Slippers Bat

With all clues I got to this state: enter image description here

At this point I had to start guessing. First I decided between Cat on number 1 or 2. Number 2 lead to a solution that contradicted one of the hints so Cat was number 1.

This lead me to a state were I could choose between Bat on number 2 or 5. Number 2 lead to a solution that contradicted one of the hints so Bat was number 5. And this also directly lead to an solution so that was the answer

I used the tool on http://www.jsingler.de/apps/logikloeser/ to help with the grid

$\endgroup$
1
  • 1
    $\begingroup$ Well done! Sorry about the error earlier. $\endgroup$
    – Gordon K
    Nov 2, 2015 at 0:41

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.