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Mon Jul 13, 2020 2:47 am
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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:
75%
(hard)
Question Stats:
43% (01:37) correct
57%
(01:53)
wrong
based on 196
sessions
History
Date
Time
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Not Attempted Yet
If 0 < x < 100, what is the value of x?
(1) \(\sqrt{x}\) is a multiple of 8.
(2) \(\sqrt{x}\) and \(\sqrt[3]{x}\) are integers.
Are You Up For the Challenge: 700 Level Questions
(1) \(\sqrt{x}\) is a multiple of 8.
(2) \(\sqrt{x}\) and \(\sqrt[3]{x}\) are integers.
Are You Up For the Challenge: 700 Level Questions
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
Updated on: Mon Jul 13, 2020 9:55 pm
Originally posted by GMATinsight on Mon Jul 13, 2020 2:52 am.
Last edited by GMATinsight on Mon Jul 13, 2020 9:55 pm, edited 2 times in total.
Last edited by GMATinsight on Mon Jul 13, 2020 9:55 pm, edited 2 times in total.
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Bunuel
Statement 1: \(\sqrt{x}\) is a multiple of 8.
i.e. \(√x = 8, 16, 24, 32\)...
ie.. \(x = 64, 256\)..
ie.. \(x = 64\) in the given range
SUFFICINT
Statement 2: \(\sqrt{x}\) and \(\sqrt[3]{x}\) are integers.
i.e. x is a perfect square as well as a perfect cube
ie.. \(x = 1^6\) or \(2^6\) or \(3^6\) or...
But less than 100 x can only be \(1^6\) or \(2^6\)
NOT SUFFICINT
Answer: Option A
Mon Jul 13, 2020 2:53 am
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Bunuel
Asked: If 0 < x < 100, what is the value of x?
(1) \(\sqrt{x}\) is a multiple of 8.
\(x = 64k^2\)
x = 64
SUFFICIENT
(2) \(\sqrt{x}\) and \(\sqrt[3]{x}\) are integers.
\(x = I^6\)
where I is an integer
I = {1,2}
x = {1,64}
NOT SUFFICIENT
IMO A
