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Of all the nations with populations greater than 500,000 who are not m

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Of all the nations with populations greater than 500,000 who are not m [#permalink] New post   05 Sep 2024, 22:54
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A
B
C
D
E

Question Stats:

37% (01:48) correct 62% (02:27) wrong based on 8 sessions

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The diagram shows the 44 nations that occupy the continent of Europe. (The diagram excludes Russia, which occupies both Europe & Asia.) Every dot is a smaller nation, with a national population less than 500,000; the circles are nations each with more than half a million people. Those nations in the "NATO" circle, as of 2013, are members of the NATO military alliance. Those nations in the "euro" circle, as of 2013, use the euro as their primary currency.



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Of all the nations with populations greater than 500,000 who are not members of NATO, approximately what percent of them use the euro as their primary currency?

A. 26%
B. 35%
C. 41%
D. 48%
E. 63%




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Re: Of all the nations with populations greater than 500,000 who are not m [#permalink] New post   11 Dec 2024, 02:34
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The circles are the countries with more than half a million people. If we count all the circles, not dots, that are outside the NATO circle, we find 6 are in the euro circle, and 11 are above the two Venn circles. That's a total of 17 , the "whole", and the "part" consists of those six inside the euro circle.

We'll estimate ---- 6/17 is slightly more than $6/18$ (when the denominator gets bigger, the fraction gets smaller), and $6/18=1/3=33%$, so we expect a percent slightly larger than $33%$. Answer (B) is perfect.

In a more precise calculation:

\( percent =617×100%=35.2941→35%\)


Answer = $(B)$.
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