What is the total number of digits printed, if a book containing 150 pages is to be numbered from 1 to 150?

The correct answer is Option 342.

To find the total number of digits printed when numbering a book from page 1 to page 150, we can break the page numbers down by the number of digits in each range.

1. Single-digit page numbers (1 to 9):
The page numbers from 1 to 9 each contain 1 digit.
Number of pages = 9 - 1 + 1 = 9 pages.
Total digits for single-digit pages = $9\times 1=9$ digits.

2. Two-digit page numbers (10 to 99):
The page numbers from 10 to 99 each contain 2 digits.
Number of pages = 99 - 10 + 1 = 90 pages.
Total digits for two-digit pages = $90\times 2=180$ digits.

3. Three-digit page numbers (100 to 150):
The page numbers from 100 to 150 each contain 3 digits.
Number of pages = 150 - 100 + 1 = 51 pages.
Total digits for three-digit pages = $51\times 3=153$ digits.

Total number of digits printed:
Summing up the digits from all three ranges:
Total digits = $9+180+153=342$ digits.

Thus, a total of 342 digits are printed to number the 150 pages.