Phone Numbers

What number do you get when you multiply all of the numbers on a telephone's number pad?




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You have to put a letter on the following to make it a meaningful word. The only challenge is that you can't use 'E'.

S E Q U E N C _

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0 0 0 = 6
1 1 1 = 6
2 2 2 = 6
3 3 3 = 6
4 4 4 = 6
5 5 5 = 6
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You can use any mathematical symbols in the space provided to make all above algebraic expressions true.

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Now he gives you the chance to switch to the other unrevealed door or stay at your initial choice. You will then get what is behind that door.

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Should you stay, or switch, or doesn't it matter?

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It's pretty hard to give up.
If you remove a part of it, you will be left with a bit.
Even if you remove another part, the bit still remains.
Remove one more and it still remains.

What is it?

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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.

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There is a cryptic organization called Cicada 3301 that posts challenging puzzles online, possibly to recruit codebreakers and linguists.