Solutions
Get detailed explanations to advanced GMAT questions.
Question
Which of the following fractions has the greatest value?
Option A:
1/(3^2*5^2)
Option B:
2/(3^2*5^2)
Option C:
7/(3^3*5^2)
Option D:
45/(3^3*5^3)
Option E:
75/(3^4*5^3)
Difficulty Level
MediumSolution
Option D is the correct answer.
Option Analysis
Since all the options have denominator 3^2 * 5^2,
Multiply all the options with 3^2*5^2
A. 1/(3^2*5^2) = 1
B. 2/(3^2*5^2) = 2
C. 7/(3^3*5^2) = 7/3
D. 45/(3^3*5^3) = 45 / 15 = 3. So this is the greatest.
E. 75/(3^4*5^3) = 5 /3.
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