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NathanMasky
20 Feb 2025, 19:58
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
60% (01:48) correct
40%
(02:03)
wrong
based on 108
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A scripture contains 322 pages and the pages are numbered from 1 to 322. The total number of digits used to number the pages is?
A) 858
B) 855
C) 853
D) 856
E) None of these
A) 858
B) 855
C) 853
D) 856
E) None of these
NathanMasky
20 Feb 2025, 20:02
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Understanding the Problem
We need to count the total number of digits used to number the pages of a book from page 1 to page 322.
Solution Breakdown
1. Pages 1 to 9 (Single-Digit Pages):
There are 9 single-digit pages (1, 2, 3, 4, 5, 6, 7, 8, 9).
Each page number uses 1 digit.
Total digits used: 9 * 1 = 9 digits
2.Pages 10 to 99 (Two-Digit Pages):
There are 90 two-digit pages (99 - 10 + 1 = 90).
Each page number uses 2 digits.
Total digits used: 90 * 2 = 180 digits
3. Pages 100 to 322 (Three-Digit Pages):
There are 223 three-digit pages (322 - 100 + 1 = 223).
Each page number uses 3 digits.
Total digits used: 223 * 3 = 669 digits
Total Digits: Add the digits used for each range: 9 + 180 + 669 = 858 digits
The correct answer is A) 858.
We need to count the total number of digits used to number the pages of a book from page 1 to page 322.
Solution Breakdown
1. Pages 1 to 9 (Single-Digit Pages):
There are 9 single-digit pages (1, 2, 3, 4, 5, 6, 7, 8, 9).
Each page number uses 1 digit.
Total digits used: 9 * 1 = 9 digits
2.Pages 10 to 99 (Two-Digit Pages):
There are 90 two-digit pages (99 - 10 + 1 = 90).
Each page number uses 2 digits.
Total digits used: 90 * 2 = 180 digits
3. Pages 100 to 322 (Three-Digit Pages):
There are 223 three-digit pages (322 - 100 + 1 = 223).
Each page number uses 3 digits.
Total digits used: 223 * 3 = 669 digits
Total Digits: Add the digits used for each range: 9 + 180 + 669 = 858 digits
The correct answer is A) 858.
20 Feb 2025, 23:06
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NathanMasky
| Numbers | Number of digits | Total Number of digits | |
| 1 to 9 | 9 | 1 | 9*1 = 9 |
| 10 to 99 | 90 | 2 | 90*2 = 180 |
| 100 to 322 | 223 | 3 | 223*3 = 669 |
9+180+669 = 858
Answer A.
