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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.
(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.
11 Sep 2013, 06:30
Kudos
Bookmarks
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.
Answer: A.
Hope it's clear.
(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.
Answer: A.
Hope it's clear.
17 Oct 2023, 04:10
Kudos
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Bunuel
Hi Bunuel - can you elaborate on the second statement. Why it is not sufficient?
So, we have that 46≤pages<56
46≤Pages<56. Not sufficient.
