printer numbered

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

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: Beat The GMAT — Problem Solving | Tue Mar 31, 2009 4:02 am

bluementor: Master | Next Rank: 500 Posts; Posts: 418; Joined: Wed Jun 11, 2008 5:29 am; Thanked: 65 times

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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dtweah: Master | Next Rank: 500 Posts; Posts: 487; Joined: Fri Mar 27, 2009 5:49 am; Thanked: 36 times

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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gmat740: MBA Student; Posts: 1194; Joined: Sat Aug 16, 2008 9:42 pmFollowed by: 17 members; Location: Paris, France; Thanked: 71 times; GMAT Score:710

by gmat740 » Sun Apr 05, 2009 5:09 am

I will go with bluementor's method

Thanks Buddy

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Debbieichols: Newbie | Next Rank: 10 Posts; Posts: 1; Joined: Mon Jan 27, 2020 2:09 am

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by Debbieichols » Wed Feb 26, 2020 12:43 am

The printer numbered is mention. The detail which is about to beat and all for which were mention the things where all is important to manage everything. I have some decision which is really prominent number and uses it whenever we use for us.

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8142; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

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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[email protected]

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