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31 May 2026, 10:29
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
86% (00:57) correct
14%
(01:09)
wrong
based on 222
sessions
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Time
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Which of the following fractions has the greatest value?
(A) \(\frac{5}{13}\)
(B) \(\frac{3}{11}\)
(C) \((\frac{5}{13})^2\)
(D) \((\frac{3}{11})^3\)
(E) \((\frac{5}{13})^3\)
(A) \(\frac{5}{13}\)
(B) \(\frac{3}{11}\)
(C) \((\frac{5}{13})^2\)
(D) \((\frac{3}{11})^3\)
(E) \((\frac{5}{13})^3\)
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Which of the following fractions has the greatest value?
(A) \(\frac{5}{13}\)
(B) \(\frac{3}{11}\)
(C) \((\frac{5}{13})^2\)
(D) \((\frac{3}{11})^3\)
(E) \((\frac{5}{13})^3\)
The fractions \(\frac{5}{13}\) and \(\frac{3}{11}\) are both between 0 and 1, so raising either of them to a power makes it smaller.
Thus, the powered options are smaller than their original fractions.
Now compare \(\frac{5}{13}\) and \(\frac{3}{11}\).
\(\frac{5}{13}\) is greater than \(\frac{1}{3}\).
\(\frac{3}{11}\) is less than \(\frac{1}{3}\).
Therefore, \(\frac{5}{13}\) is the greatest value.
Answer: A.
Similar questions to practice:
https://gmatclub.com/forum/which-of-the ... 58437.html
https://gmatclub.com/forum/of-the-follo ... 58580.html
(A) \(\frac{5}{13}\)
(B) \(\frac{3}{11}\)
(C) \((\frac{5}{13})^2\)
(D) \((\frac{3}{11})^3\)
(E) \((\frac{5}{13})^3\)
The fractions \(\frac{5}{13}\) and \(\frac{3}{11}\) are both between 0 and 1, so raising either of them to a power makes it smaller.
Thus, the powered options are smaller than their original fractions.
Now compare \(\frac{5}{13}\) and \(\frac{3}{11}\).
\(\frac{5}{13}\) is greater than \(\frac{1}{3}\).
\(\frac{3}{11}\) is less than \(\frac{1}{3}\).
Therefore, \(\frac{5}{13}\) is the greatest value.
Answer: A.
Similar questions to practice:
https://gmatclub.com/forum/which-of-the ... 58437.html
https://gmatclub.com/forum/of-the-follo ... 58580.html
01 Jun 2026, 17:30
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Which of the following fractions has the greatest value?
(A) \(\frac{5}{13}\)
(B) \(\frac{3}{11}\)
(C) \((\frac{5}{13})^2\)
(D) \((\frac{3}{11})^3\)
Squaring or cubing a positive fraction less than 1 produces a value lower than the original fraction. So, we can quickly eliminate (C), (D), and (E) because either (A) or (B) will be greater than any of them.
Now, we just need to compare (A) and (B).
For ( A), \(\frac{5}{15} = \frac{1}{3}\). So, \(\frac{5}{13}\) is greater than \(\frac{1}{3}\).
For (B), \(\frac{3}{9} = \frac{1}{3}\). So, \(\frac{3}{11}\) is less than \(\frac{1}{3}\).
Thus, (A) > (B).
Correct answer: A
(A) \(\frac{5}{13}\)
(B) \(\frac{3}{11}\)
(C) \((\frac{5}{13})^2\)
(D) \((\frac{3}{11})^3\)
Squaring or cubing a positive fraction less than 1 produces a value lower than the original fraction. So, we can quickly eliminate (C), (D), and (E) because either (A) or (B) will be greater than any of them.
Now, we just need to compare (A) and (B).
For ( A), \(\frac{5}{15} = \frac{1}{3}\). So, \(\frac{5}{13}\) is greater than \(\frac{1}{3}\).
For (B), \(\frac{3}{9} = \frac{1}{3}\). So, \(\frac{3}{11}\) is less than \(\frac{1}{3}\).
Thus, (A) > (B).
Correct answer: A
09 Jun 2026, 09:51
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Another way to quickly check bw A and B is:
if 5/13 is greater than 3/11 then when we cross-multiply resultant condition should still hold true.
5*11 is indeed greater than 13*3, thus the starting condition is also true. This easier to do since all numbers are +Z
thus A
if 5/13 is greater than 3/11 then when we cross-multiply resultant condition should still hold true.
5*11 is indeed greater than 13*3, thus the starting condition is also true. This easier to do since all numbers are +Z
thus A
MartyMurray
