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06 Sep 2019, 10:52
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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:
25%
(medium)
Question Stats:
76% (01:36) correct
24%
(01:32)
wrong
based on 202
sessions
History
Date
Time
Result
Not Attempted Yet
Is \(\sqrt{\sqrt[n]{m}}\) an integer?
(1) m = n + 14
(2) m = 5n + 6
(1) m = n + 14
(2) m = 5n + 6
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
07 Sep 2019, 21:15
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Equation 1 is insufficient as we have 2 variables (m&n) and one equation, similarly, equation 2 is also insufficient.
Upon combining we get m=16 and n=2.
=> C is right choice
Upon combining we get m=16 and n=2.
=> C is right choice
23 Jul 2023, 06:13
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Bunuel
We need to answer the question:
Is root[2n] of m = integer ?
Statement One Alone:
=> m = n + 14
If n = 2, then root[2n] of m = root[4] of 16 = 2, which is an integer.
Whereas, if n = 1, then root[2n] of m = root[2] of 15, which is not an integer.
Statement one is not sufficient. Eliminate answer choices A and D.
Statement Two Alone:
=> m = 5n + 6
If n = 2, then root[2n] of m = root[4] of 16 = 2, which is an integer.
Whereas, if n = 1, then root[2n] of m = root[2] of 11, which is not an integer.
Statement two is not sufficient. Eliminate answer choice B.
Statements One and Two Together:
The two statements together are sufficient to determine the values of m and n:
5n + 6 = n + 14
4n = 8
n = 2 and m = 16, so root[2n] of m = root[4] of 16 = 2, which is an integer.
The two statements together are sufficient.
Answer: C
