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# If the pages of a term paper were numbered consecutively, wi

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Joined: 29 Nov 2012
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If the pages of a term paper were numbered consecutively, wi  [#permalink]

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Updated on: 11 Sep 2013, 08:07
1
7
00:00

Difficulty:

35% (medium)

Question Stats:

70% (01:22) correct 30% (01:27) wrong based on 179 sessions

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If the pages of a term paper were numbered consecutively, with the first page numbered 1, how many pages did the term paper have?

(1) A total of 87 digits were used in numbering the pages

(2) The digit 6 was used only 5 times in numbering the pages.

Originally posted by fozzzy on 11 Sep 2013, 05:48.
Last edited by fozzzy on 11 Sep 2013, 08:07, edited 1 time in total.
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Re: If the pages of a term paper were numbered consecutively, wi  [#permalink]

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11 Sep 2013, 06:30
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If the pages of a term paper were numbered consecutively, with the first page numbered 1, how many pages did the term paper have?

(1) A total of 87 digits were used in numbering the pages --> 9 digits for single digit pages + 2 digits for each two-digit pages = 87 --> 9+2x=87 --> x=39 --> total pages 39+9=48. Sufficient.

(2) The digit 6 was used only 5 times in numbering the pages --> the first 5 pages with 6 are: 6, 16, 26, 36 and 46. The sixth is 56. So, we have that $$46\leq{pages}<56$$. Not sufficient.

Hope it's clear.
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Re: If the pages of a term paper were numbered consecutively, wi  [#permalink]

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11 Oct 2018, 09:06
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Re: If the pages of a term paper were numbered consecutively, wi   [#permalink] 11 Oct 2018, 09:06
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