Are there arbitrarily long sets of consecutive numbers such that when writing the set down, every single digit is used a different number of times?

SpIit music into music-theory and music-fans, since there are already two sites for general music-theory and general music-fans. Example: The following rebus (the question has been deleted) belongs to music-theory: A B C D E F G H I J K L M N O O O O O O O O O O... While the one below (cl...

Here is a regular Gokigen Naname a.k.a Slalom a.k.a Slant puzzle. An online (mobile-friendly) version is available here. Rules: Put a slash (diagonal line) on each cell. Each number in a circle denotes the number of slashes touching it. The slashes should not form a loop...

This is a Shingoki puzzle. The goal is to make a single loop in the grid which satisfies the following rules.1 The line passes through dots and numbers in the grid, vertically and horizontally, making 90-degree turns only. The line cannot cross itself or branch off in multiple directions. The l...

Here is a table, inside there are simple operations to perform, but there are also particular numbers that don't have the same logic. So how difficult will it be to find the last number and the pattern to solve this one? Hope you'll enjoy this!

Given the product codes of 10 fruits and vegetables in the chart below, can you figure out the product code of Broccoli? $ \begin{gather} % custom template - reuse if you may \def\S#1#2{\Space{#1}{19px}{#2px}}\def\P#1{\V{#1em}}\def\V#1{\S{#1}{9}} \def\T{\color{black}{\textbf{Fruit / Vegetable}}}...

You are playing a game: You have $6$ standard 6-sided dice that are all rolled at the start of the game. The sum of dice values is your score. Each turn, you can take any dice and reroll them. The goal of the game is to get score of $30$ in fewest turns possible. What is the optimal strategy to...

I'm planning to organize a Online treasure hunt game for the students of my institution. The idea is very simple. You register and login. You start at Level 1. You'll be given a question/clue/image and you have to input the right answer to move on to the next level. You can only get to the curre...

My friend sent me a picture of this recently (unverified source) on social media. He says its from a practice job aptitude assessment. I think the pattern is very obvious.... but according to him the answer I gave him is wrong.

Find me in water, I'm mostly grey. At the Spanish South I am red. Coming down from the sky, I'm a lizard, And notably worn on the head. I am a star with rays that are straight. Near a crystal river lies my key. On reflection, my style is emo. A Caesar directed me. What am I? P...

Clues: People gather because of me, but they're never happy eventually. My name has five letters. My favourite number is four. If you are reading this, you haven't got the honor to meet me yet. The most feared and hated side of two opposites. The title might also help you. Who am I?

I've just found this solemn poem, entitled "They are coming." Unfortunately, the name of the author has been lost. However, I am confident that the poem contains enough information to identify them. Can you help? They are coming. (author unknown) I am so powerful, but I am frail. M...

I was browsing my email one morning when I got this curious email: Date: February 17, 2020 Subject: Want to see the future? Hello, I am a clairvoyant who can predict the future. I have made a fortune from my talent and now I want to share it to you. However, this knowledge is not f...