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sequence of numbers 1 to 3999 written like ( 123456789101112......3999) . Find the number of zeros in this sequence ?

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sequence of numbers 1 to 3999 written like ( 123456789101112......3999) . Find the number of zeros in this sequence ?
posted May 11, 2015 by Ankit Kamboj

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Can you find a seven digit number which describes itself.

The first digit is the number of zeros in the number.
The second digit is the number of ones in the number, etc.

For example, in the number 21200, there are 2 zeros, 1 one, 2 twos, 0 threes and 0 fours.

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23 x 64 gives the same answer as 46 x 32 (everything written in reverse order) can you find other pairs of two digit numbers with different digits that work like this?

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3 rational numbers form a geometric progression in its current order.

  1. If 8 is added to the middle number, then this new sequence forms an arithmetic progression.
  2. If 64 is later added to the last number, then this yet another sequence forms a geometric progression again.
  3. First number of these sequences is an integer.

Find the numbers?

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