Cyclic Numbers

There is a unique number which when multiplied by any number from 1 to 6, we will get the new number that contains the same digits only.

Can you find that number?




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What's a single-digit number with no value?

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Using eight eights and addition only, can you make 1000?

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In the Chess Board picture below white army is arranged. You need to add a black army on the board such that no piece is under any threat.
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Game of Chess

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The below is a number puzzle. It should be read left to right, top to bottom.
1
1 1
2 1
1 2 1 1
1 1 1 2 2 1
? ? ? ? ? ?
? ? ? ? ? ? ? ?
Question 1: What are the next two rows of numbers?
Question 2: How was this reached?

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In the 1920s, people feared that crossword puzzles would contribute to illiteracy.