Question

An eccentric person starts writing numbers from 1 to n in a row such that i^th number is written i² times. Then find the 500^th digit from the starting.

Answer 1

To exhaust all single-digit numbers he must have written

To exhaust 10 he must write 2 x 10² more digits. That is, 485 digits. So, the 500^th digit will occur when he is writing 11