manik11 wrote: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
Question stem:
Is r more than 120% of R?
Translated into math:
r > (120/100)R ?
r > (6/5)R ?
Statement 1:
Substituting R = r-33 into the resulting inequality above, we get:
r > (6/5)(r - 33) ?
5r > 6r - 198 ?
198 > r ?
r < 198 ?
No way to determine whether r < 198.
INSUFFICIENT.
Statement 2:
No information about R.
INSUFFICIENT.
Statements combined:
Rephrased question stem yielded by Statement 1:
Is r < 198 ?
Test r=198 in 1/6 < r/1468:
1/6 < 198/1468
1468*1 < 6*198
1468 < integer less than 1200.
Doesn't work:
The right-hand side is too small.
To increase the value of the right-hand side, r must increase to a value GREATER THAN 198.
Thus, the answer to the rephrased question stem is NO.
SUFFICIENT.
The correct answer is
C.
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