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23 Jan 2015, 07:45
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
66% (01:31) correct
34%
(01:34)
wrong
based on 587
sessions
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Does Country X have more citizens than Country Y?
(1) 60% of Country X's citizens are also citizens of Country Y.
(2) 30% of Country Y's citizens are not citizens of Country X.
(1) 60% of Country X's citizens are also citizens of Country Y.
(2) 30% of Country Y's citizens are not citizens of Country X.
26 Jan 2015, 04:49
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Bunuel
VERITAS PREP OFFICIAL SOLUTION:
In this Organizing Information / Venn Diagram problem you should see relatively quickly that neither statement alone is sufficient. For statement 1, for example, those 60% of Country X's citizens could be "all six" of Country Y's citizens (making X larger than Y with 10 citizens to 6) or could be 6 of a trillion citizens of Country Y (making Y exponentially larger).
So this problem comes down to C vs. E, and that should signal that it's time to do some work. Given the Venn Diagram structure of the problem, we know that we have an overlap of "both", and that that overlap represents:
60% of Country X's citizens
70% of Country Y's citizens (if 30% are not in the overlap, then 70% are)
So we know that .6X = .7Y, in which case we can solve that X/Y = 7/6, meaning that X definitely has a larger population than Y. Answer choice C is correct.
General Discussion
23 Jan 2015, 07:59
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Bunuel
1) gives us the overlap of citizens between A and B. We have no way of figuring out the value of each indipendent group
not sufficient.
2) gives us Y's citizens. Not sufficient.
1+2) we can figure out B's citizens and thus estimate whether A>B. Sufficient.
Answer C.
