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A report consisting of 2,600 words is divided into 23 paragr

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A report consisting of 2,600 words is divided into 23 paragr [#permalink] New post 18 Dec 2012, 07:01
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A report consisting of 2,600 words is divided into 23 paragraphs. A 2-paragraph preface is then added to the report. Is the average (arithmetic mean) number of words per paragraph for all 25 paragraphs less than 120 ?

(1) Each paragraph of the preface has more than 100 words.
(2) Each paragraph of the preface has fewer than 150 words.
[Reveal] Spoiler: OA
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Re: A report consisting of 2,600 words is divided into 23 paragr [#permalink] New post 18 Dec 2012, 07:06
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A report consisting of 2,600 words is divided into 23 paragraphs. A 2-paragraph preface is then added to the report. Is the average (arithmetic mean) number of words per paragraph for all 25 paragraphs less than 120 ?

The question asks whether the average number of words per paragraph for all 25 paragraphs is less than 120, or whether the total number of words for all 25 paragraphs is less than 25*120=3,000. Thus, the question basically asks whether the total number of words for 2-paragraph preface is less than 3,000-2,600=400.

(1) Each paragraph of the preface has more than 100 words. This implies that the total number of words for 2-paragraph preface is more than 200. Not sufficient.

(2) Each paragraph of the preface has fewer than 150 words. This implies that the total number of words for 2-paragraph preface is less than 300. Sufficient.

Answer: B.
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Re: A report consisting of 2,600 words is divided into 23 paragr [#permalink] New post 20 Aug 2013, 01:34
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Re: A report consisting of 2,600 words is divided into 23 paragr [#permalink] New post 31 Aug 2014, 07:01
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Re: A report consisting of 2,600 words is divided into 23 paragr [#permalink] New post 31 Aug 2014, 08:27
the report already has 2600 words and 23 paragraphs .. if 2 paragraphs are added that would take the total no. of paragraphs to 25.
for the average no .of of words per paragraph to be less than 120, the total no. of words need to be less than 3000.

statement I says , the paragraphs have more than 100 words .. but do not extly how much .. could be 500 each in which case the toal number of words in the report may go well beyond 3000.

statement II says, the new paragraphs have less than 150 words.. so the two new paragraphs together have less than 300 words.. so the total no .of words in the paragraph will be less than 3000.

so II alone is sufficient to answer the question.
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Re: A report consisting of 2,600 words is divided into 23 paragr [#permalink] New post 31 Aug 2014, 23:34
If the average is 120 words per paragraph, then for 25 paragraphs, there will be a total of 25*120=3000 words. So any total less than 3000 words will give an average less than 120.

(1) Each paragraph of the preface has more than 100 words.
The total number of words may or may not exceed 3000. Insufficient

(2) Each paragraph of the preface has fewer than 150 words.
The total number of words cannot exceed 2750 so average is less than 120. SUFFICIENT

Answer B
Re: A report consisting of 2,600 words is divided into 23 paragr   [#permalink] 31 Aug 2014, 23:34
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