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Date Sufficiency, decide and explain if the statements 1 or 2 or independently sufficient/insufficient to answer the problem, or need each other for sufficiency, or both wont work

the daily news has 25 reporters covering asia, 20 covering europe and 20 covering north america. 4 reporters cover asia and europe but not north america. 6 cover north america and asia but not europe. 7 cover north america and europe but not asia. how many reporters cover all 3 continents.?

Statement 1. Daily News has 38 reporters in total covering at least 1 of the following continents, asia, europe and north america.

Statement 2. there are more daily news reporters covering only asia than there are daily news reporters covering only north america.


thats a mouthful guys, im having problems with this one... some great minds are requested to explain this one.... thank you in advance.

2007-10-19 09:53:52 · 1 answers · asked by mandeep s 1 in Science & Mathematics Mathematics

1 answers

The following equation is valid:

(20 reporters covering North America) = (X reporters covering North America only) + (6 reporters covering North America and Asia but not Europe) + (7 reporters covering North America and Europe but not Asia) + (Y reporters covering all 3 continents)

20 = X + 6 + 7 + Y
X + Y = 7

This equation gives 8 possible solutions summarized in the table:

http://s210.photobucket.com/albums/bb64/oregfiu/?action=view¤t=reporters.jpg

If we add the Statement 1, then we get the only solution: 5 reporters cover all 3 continents. (Statement is sufficient to answer the problem.)

Statement 2 is always valid and therefore useless for solution. (Statement is insufficient to answer the problem.)

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2007-10-19 13:26:30 · answer #1 · answered by oregfiu 7 · 0 0

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