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19 Sep 2022, 04:50
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
44% (01:37) correct
56%
(01:18)
wrong
based on 164
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Is x an integer?
(1) \(9x^2\) is an integer.
(2) \(\sqrt{9x}\) is an integer.
(1) \(9x^2\) is an integer.
(2) \(\sqrt{9x}\) is an integer.
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Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
19 Sep 2022, 06:22
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Bunuel
(1) \(9x^2\) is an integer.
x could be any integer. Possible
x could be a fraction \(\frac{1}{3}\) or \(\frac{7}{3}\)
x could also be any square root - \(\sqrt{2}\) or \(\sqrt{3}\)
Insufficient
(2) \(\sqrt{9x}\) is an integer.
\(3\sqrt{x}\)
x could be any perfect square - 1, 4, 9, 16, 25….
x could be a fraction that has 9 in denominator and square in numerator - \(\frac{4}{9}\)
Insufficient
Combined
x cannot be a square root from statement II
x cannot be a fraction in simplified form with denominator 9, but in statement II, the denominator has to be 9.
Thus, x has to be an integer or rather a perfect square, to be more precise.
C
18 Jan 2025, 09:58
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