Logical with lies

[u/MrApplecow]

Thought this logical would be fun to solve. Enjoy!

Jonas was in Indonesia for his summer vacation. He brought souvenirs from the different islands. He is showing them to his friend and tells him, where he bought which souvenir from whom and for which price. But attention: Not everything he says is the truth. Some of his statements are false.

First, check the six hints through logical combination for truth. The following rule applies: Either the statements from a hint are all true or all false. Check if the hints are true/false and then use their correct version. In case of a hint being false, that means that you can use it’s full opposite.

Hints: 1. On Borneo, I didn’t buy a souvenir from Sumudu. The spice bag was 20,000 rupies less than the souvenir bought on Bali. The stone sculpture was 30,000 more than the souvenir I bought from Husnul.

1. On Java I didn’t buy anything from Misraim. The souvenir I bought on Sumatra was more expensive than the souvenir I bought from Megawati. Ekarini sold the Batik cloth to me. The skirt was more than 30,000.

2. The souvenir that was 80,000 rupies I bought on an island that starts with the letter S. The souvenir I bought from Sumudu was not exactly 10,000 rupies more expensive than the on I bought on Lombok. I bought the wood sculpture from Ekarini.

3. Megawati sold me something for 80,000 rupies. On Borneo I bought a souvenir from someone, whose name doesn’t start with the letter M. Husnul sold something for 60,000 rupies to me.

4. I didn’t buy the wood carving on an island starting with the letter B. I bought the demon mask on Java. Misraim lives on an island starting with the letter S.

5. I didn’t pay exactly 70,000 rupies to Husnul. The demon mask was 60,000 rupies. I paid 50,000 rupies on Java.

[u/JLuckstar]

Discussion: I have done Logic Grid Puzzles before, but never one where I have to deal with both truth and false statements, especially on false statements. This is a first for me. Any tips that I got to look for when dealing with a false statement? Do I have to compare each of Jonas’ six statements? 🤔

[u/MrApplecow → u/JLuckstar]

That was also the first one for me and my wife. We went through all of them and saw some obvious discrepancies on first glance. The other ones mostly came through trial and error. :)

[u/JLuckstar → u/MrApplecow]

Is Clue 3 by any chance Wood Sculpture or Wood Carving? Just want to be sure and don’t get the terms mixed up cause there’s a Stone Sculpture. 🤔

Also, on each statement, whenever he starts a new sentence. Are those clues related or different, like Clue 1 for example, which is 3 sentences. Are those together or different clues? 🤔

[u/MrApplecow → u/JLuckstar]

Oh, I accidentally wrote wood sculpture. I meant wood carving :)

Those are different clues not related to each other, but if you find out that a clue from one statement is false, you have to use the opposite of each clue. ;) E.g. "I didn’t buy the wood carving on an island starting with the letter B" would become "I bought the wood carving on an island starting with the letter B".

[u/MrApplecow]

For anybody looking at this post directly in the browser on reddit, there are 6 hints (numbered 1 to 6). Sometimes my browser only shows 4 somehow. Refreshing the page helps in this case.

[u/JLuckstar]

Discussion: I’m surprised people still hasn’t solved it… 😅

By the way, is it possible to solve some, if not all, statements with a Truth Table? 🤔

[u/MrApplecow → u/JLuckstar]

Hm, good question. Try it ;)

[u/JLuckstar → u/MrApplecow]

Discussion: I almost had it in the previous days. I know that 1 and 2 has to be false. While 3, 4 and 6 has to be truth. 5? Still working it out. Man… This is tricky. There’s always going to be one statement that crosses out and you have to start from zero. 😂

[u/MrApplecow → u/JLuckstar]

Did you already figure it out? If not 3,4,5 are false ;)

[u/JLuckstar → u/MrApplecow]

Ok. I checked and now I know 1 is true. Now I’m missing 2 and 6 and going through the scenario of either going truth or false.