Now for the first batch of puzzles:
Puzzle 01
Difficulty: 2
The Misarranged Pearl-Bracelet
Simon is a man of beauty. He often crafts several accessories himself according to his sense of beauty. That sense however is only appreciated by few, as it is the beauty of numbers and logical systems that fascinates Simon. Just a few days ago, one of his aquaintances criticized a design for a bracelet Simon made. This aquaintance suggested to swap two neighbouring pearls in that design, resulting in the one pictured above. Knowing Simon’s sense of beauty and that only two neighboured pearls were swapped, how did the original design look like?
Puzzle 02
Difficulty: 3
The Lottery
A company celebrated their 10th anniversary. Part of this celebration was a lottery where every employee was allowed to draw one lot. There were only winning lots and the prizes were one projector, wine and several towels. Mrs. Ainsworth got lucky and won the projector, Mr. Bailey won one of the towels. The probability of this occuring is exactly 10%. So how many bottles of wine were offered as prize?
Puzzle 03
Difficulty: 1
The Rainbow Triangle
The above triangle is made up of several small triangles. Some of them were already colored with four colors. Color the remaining triangles according to the following rules:
In every bigger triangle made up of four small triangles no color may show up more than once.
Only the four colors that you see above may be used.
For this puzzle a picture of your solution is sufficient, you don’t need to write a step-by-step solution.
Puzzle 04
Difficulty: 3
Anniversary in Ladder Town
Ladder Town is called that way because it looks like a ladder from the sky. Ladder Town is currently celebrating its 500th anniversary. In this town there are two main streets that are parallel to each other. These main streets are connected by a total of 13 side streets. All these streets can be traversed in both directions. The department store of Ladder Town is near the town entrance, in the first side street. The festival grounds for the anniversary are on the city plaza which is located on one of the main streets between the fifth and sixth side street. The home of Mr. Smith is located at the end of the town, in the 13th side street. Now Mr. Smith realized that he still had to buy some things so he hopped into his car and went straight to the department store. On the way back he has some more time though, so while he traverses in the direction of his home on the main streets, he may decide to drive into one of the side streets since the town is so nicely decorated because of its anniversary. He also wants to pass by the festival plaza and then drive into the next side street because there’s a friseur and he needs a new hair cut. He doesn’t change direction on this side street. After that he continues his travels like before, but he takes at least one of the following four side streets. Eventually he reaches his home.
So, how many different paths could Mr. Smith have taken on his way back with the information given above?
Puzzle 05
Difficulty: 1
Multiplying Trees
Pictured above is a nice pine tree made up of matches. It is possible to make two trees out of this one tree by moving only one match. Can you do it?
For this one, a picture of your solution is sufficient as well.
As you can see, these first five are more on the easy side, as the highest difficulty is 3. You have time to send your PM until next Saturday (that’s the 18th February 2017) 8 pm UTC. You don’t have to send all five solutions in one PM, so you can send multiple PMs, like say you solve Puzzle 02 on monday and send a PM and then solve Puzzle 05 on wednesday and send a second PM. You are also free to edit your solution until the deadline hits, so while that is technically only one try, you can correct yourself if you happen to notice at a later time that you made an error.