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Find the number of Digits required to write down the number of pages

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WE: Engineering (Energy and Utilities)
Find the number of Digits required to write down the number of pages  [#permalink]

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New post 14 Aug 2017, 02:22
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A
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C
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Q. Find the number of Digits required to write down the number of pages in a book having exactly 300 pages ?


A. 279
B. 790
C. 792
D. 729
E. 793

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New post 14 Aug 2017, 02:38
Rule : Total number of integers between a and b(both inclusive) is b-a+1

Each page from 1 to 9 will use one digit each
9*1 = 9 (from 1 to 9)
Each page from 10 to 99 will use two digits each
90*2 = 180 (from 10 to 99)
Each page from 100 to 300 will use three digits each
201*3 = 603 (from 100 to 300)

Total number of digits required in order to write the number of pages in a 300 page book: 9+180+603 = 792(Option C)

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This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Find the number of Digits required to write down the number of pages   [#permalink] 14 Aug 2017, 02:38
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Find the number of Digits required to write down the number of pages

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