Question

A computer is programmed to scan the digits of the counting numbers. For example, if it scans 1 2 3 4 5 6 7 8 9 10 11 12 13 then it has scanned 17 digits altogether. If the computer begins its task and scans the first 1392 digits starting at 1, what is the last counting number scanned?

Answer 1

I believed it is "401"

1-9 = 9 digits

10-99 = 90 which is 180

100-200 = 100 which is 300 digits

9+180= 189

1392-189= 1203

1200÷300=400 which 1200 digits

401 is the 1392 number scanned