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If all the natural numbers starting from $1$ are written side by side $(123456789\dots),$ then find the $100^{th}$ digit of this series.

1. $2$
2. $3$
3. $0$
4. $5$

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+3
1 to 9 = 9 digits

10 = 2 digits

11-50=80 digits

51 to 54= 8 digits

'5' of '55' would be 100th digit.
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D ?
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Thanks