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.
OA C
Source: Veritas Prep
Does Country X have more citizens than Country Y?
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Let's take each statement one by one.BTGmoderatorDC wrote: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.
OA C
Source: Veritas Prep
(1) 60% of Country X's citizens are also citizens of Country Y.
We can have both the results: 1. Country X has more citizens than Country Y. and 2. Country Y has more citizens than Country X.
Case 1: Say, the number of citizens from Country X = 100 and the number of citizens from Country Y = 70, then 60 citizens from Country X can also be citizens of Country Y. The answer is Yes, Country X (100) has more citizens than Country Y (70).
Case 2: Say, the number of citizens from Country X = 100 and the number of citizens from Country Y = 1000, then 60 citizens from Country X can also be citizens of Country Y. The answer is No, Country X (100) does NOT have more citizens than Country Y (1000).
(2) 30% of Country Y's citizens are not citizens of Country X.
=> 70% of Country Y's citizens are also citizens of Country X.
As with Statement 1, the same with Statement 2.
Case 1: Say, the number of citizens from Country Y = 100 and the number of citizens from Country X = 70, then 70 citizens from Country Y can also be citizens of Country X. The answer is No, Country X (70) does have more citizens than Country Y (100).
Case 2: Say, the number of citizens from Country Y = 100 and the number of citizens from Country X = 1000, then 70 citizens from Country Y can also be citizens of Country X. The answer is Yes, Country X (1000) has more citizens than Country Y (100).
Insufficient.
(1) and (2) together
Say, the number of citizens from Country X = X and the number of citizens from Country Y = Y
=> 60% of X = 70% of Y
=> 6X = 7Y
=> X > Y. Sufficicient.
The correct answer: C
Hope this helps!
-Jay
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