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Bunuel
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In 1980 the Immigration and Naturalization Service (INS) granted 1024 02 Mar 2022, 06:00
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Difficulty:

55% (hard)

Question Stats:

55% (02:59) correct 45% (02:10) wrong based on 33 sessions

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In 1980 the Immigration and Naturalization Service (INS) granted 1024 refugee status visas, and R of these visas were granted to people from Eastern Europe. In 1990 the total number of such visas granted by the INS was 1468, and r of these were granted to people from Eastern Europe. If the number of refugee status visas to people from Eastern Europe increased from 1980 to 1990, was the increase greater than 20%?

(1) r = R + 33
(2) 1/6 < r/1468 < 1/5



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C
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In 1980 the Immigration and Naturalization Service (INS) granted 1024 08 Mar 2022, 15:35
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Bunuel
In 1980 the Immigration and Naturalization Service (INS) granted 1024 refugee status visas, and R of these visas were granted to people from Eastern Europe. In 1990 the total number of such visas granted by the INS was 1468, and r of these were granted to people from Eastern Europe. If the number of refugee status visas to people from Eastern Europe increased from 1980 to 1990, was the increase greater than 20%?

(1) r = R + 33
(2) 1/6 < r/1468 < 1/5



Rephrase the question:

We are asking if \(r > 120\%*R\).

Statement 1 Alone:

20% of the 1980 total is roughly 200, so an increase of 33 cannot guarantee us anything. If r is small enough, the increase of 33 is more than 20% of the original, but not necessarily when r is big enough. Insufficient.

Statement 2 Alone:

This tells us r is less than 20% of the 1990 total, but more than 1/6 of the 1990 total. Thus r is less than roughly 300, but more than roughly 250. We don't know how that compares to R, so statement 2 alone is insufficient.

Both Statements Combined:

Now we can see an increase of 33 is not even close to 20% of 250, so we know the increase must be less than 20% of R. Sufficient.

Answer: C
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