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Does Country X have more citizens than Country Y?

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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Thu Jan 03, 2019 10:35 pm

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BTGmoderatorLU wrote:Source: Veritas Prep

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.

The OA is C
Say Country X has X numbers of citizens and Country Y has Y numbers of citizens.

We have to determine whether X > Y.

Let's take each statement one by one.

1) 60% of Country X's citizens are also citizens of Country Y.

The number of citizens of both the countries = 60% of X = 0.6X. No information about Country Y. Insufficient.

2) 30% of Country Y's citizens are not citizens of Country X.

The number of citizens of both the countries = (100 - 30)% = 70% of Y = 0.7Y. No information about Country X. Insufficient.

(1) and (2) together

0.6X = 0.7Y

=> X = 7Y/6

=> X > Y. Sufficient.

The correct answer: C

Hope this helps!

-Jay
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