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A report consisting of 2,600 words is divided into 23 paragr [#permalink]
18 Dec 2012, 07:01

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Question Stats:

72% (02:28) correct
28% (01:47) wrong based on 420 sessions

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.

Re: A report consisting of 2,600 words is divided into 23 paragr [#permalink]
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.

Re: A report consisting of 2,600 words is divided into 23 paragr [#permalink]
31 Aug 2014, 07:01

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Re: A report consisting of 2,600 words is divided into 23 paragr [#permalink]
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.

Re: A report consisting of 2,600 words is divided into 23 paragr [#permalink]
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

A report consisting of 2,600 words is divided into 23 paragr [#permalink]
02 Apr 2015, 22:00

Question. I tried 2 ways. First way worked, second way didn't. Could someone have a look and let me know where I went wrong with the 2nd method?

FIRST WAY (CORRECT):

Background info: Y/N question 23 paragraphs, 2,600 words Added 2 preface paragraphs. Let x be total of new words added. Thus question is: (2,600+x)/25<120? OR, simply, is x<400?

Stem (1): Each preface paragraph has 100+ words. If each preface paragraph has 101 words then x= 2*(101) = 202 words. This would make x<400 Alternatively if each preface paragraph has 250 words then x=2*(202) = 404 words. This would mean x>400. Stem 1 is Insufficient.

Stem (2) Each preface paragraph has less than 150 words. This means x is AT MOST 2*(149) = 298 words. I.e. x MUST BE <400. Stem 1 is Sufficient.

FINAL ANSWER: B

WAY TWO (INCORRECT)

I worked out the average word count for the current 23 paragraphs: 2,600/23= approx 113 words I then thought, if the new average (inclusive of 2 preface paragraphs) is 120 then the difference b/w the 2 averages is 7 words. The total number of words added due to preface paragraphs would then = 7*25 = 175 words The answer stem has to tell me if the 2 new paragraphs has less or more than 175 words.

Stem (1): Each preface paragraph has 100+ words. Total must be more than 175 words. Sufficient Stem (2): Each preface paragraph has less than 150 words. So could be 100 words, 200 words, 298 words. NOT sufficient

Re: A report consisting of 2,600 words is divided into 23 paragr [#permalink]
03 Apr 2015, 15:38

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Expert's post

Hi ColdSushi,

There's nothing wrong with the second approach that you took (although the "rounding" that did could be a problem in certain questions that require specifics/accuracy).

The "7 word difference" you calculated IS correct, but you also have to account for the 120 words that would need to appear in EACH of the 2 preface paragraphs. Your calculation didn't do that.

Using your approximation, your calculation should have been (7)(25) + 2(120) = 415 words

Using this value, you would have gotten the correct answer.

Re: A report consisting of 2,600 words is divided into 23 paragr [#permalink]
09 Apr 2015, 17:56

EMPOWERgmatRichC wrote:

Hi ColdSushi,

There's nothing wrong with the second approach that you took (although the "rounding" that did could be a problem in certain questions that require specifics/accuracy).

The "7 word difference" you calculated IS correct, but you also have to account for the 120 words that would need to appear in EACH of the 2 preface paragraphs. Your calculation didn't do that.

Using your approximation, your calculation should have been (7)(25) + 2(120) = 415 words

Using this value, you would have gotten the correct answer.

GMAT assassins aren't born, they're made, Rich

Thanks very much Rich. Appreciate your help and it makes sense now!

gmatclubot

Re: A report consisting of 2,600 words is divided into 23 paragr
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09 Apr 2015, 17:56

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