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

Medium

Solution

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.