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printer numbered

Expert replies
by sanju09 » Tue Mar 31, 2009 4:02 am
A printer numbered consecutively the pages of a book, beginning with 1 on the first page. In numbering the pages, he had to print a total of 187 digits. What is the number of pages in the book?

A. 99
B. 98
C. 96
D. 97
E. 95
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Source: — Problem Solving |

by bluementor » Tue Mar 31, 2009 4:13 am
pages 1-9 --> 9 digits (one digit on each page)

187-9 = 178 digits remaining to be printed from page 10 onwards.

pages 10-99 --> 2 digits per page

No. of double digit pages = 178/2 = 89 pages

Total number of pages = 9 + 89 = 98 pages

Choose B.

-BM-
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Re: printer numbered

by dtweah » Sun Apr 05, 2009 4:00 am
sanju09 wrote:A printer numbered consecutively the pages of a book, beginning with 1 on the first page. In numbering the pages, he had to print a total of 187 digits. What is the number of pages in the book?

A. 99
B. 98
C. 96
D. 97
E. 95
Single digits 1-9; 9-1+1 = 9 pages
double 10-99; 99-10+1= 90 pages.

Total Digits. 9(1) +90(2)= 189. Ooops but we have 187 digits. Since 99 has two digits, scratch off both and we have last page 98.
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by gmat740 » Sun Apr 05, 2009 5:09 am
I will go with bluementor's method

Thanks Buddy
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Re: printer numbered

by Scott@TargetTestPrep » Sun Mar 01, 2020 12:58 pm
sanju09 wrote: ↑
Tue Mar 31, 2009 4:02 am
A printer numbered consecutively the pages of a book, beginning with 1 on the first page. In numbering the pages, he had to print a total of 187 digits. What is the number of pages in the book?

A. 99
B. 98
C. 96
D. 97
E. 95
Since numbers from 1 to 9 take up 9 digits, we are left with a total of 178 digits.

Starting with page 10, each number has 2 digits. Thus, there needs to be 178/2 = 89 more pages. Therefore, there are a total of 9 + 89 = 98 pages.

Answer: B

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