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10 May 2023, 09:30
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A
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Difficulty:
25%
(medium)
Question Stats:
67% (00:52) correct
33%
(01:01)
wrong
based on 49
sessions
History
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Not Attempted Yet
If \(n\) is positive integer, is 35 a factor of \(n\)?
(1) 35 is a factor of \(n^2\)
(2) 35 is a factor of \(5n\)
(1) 35 is a factor of \(n^2\)
(2) 35 is a factor of \(5n\)
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
10 May 2023, 12:34
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Bunuel
Given: n is a positive integer.
Question: Is 35 a factor of \(n\)
Statement 1
(1) 35 is a factor of \(n^2\)
As n is an integer, if 7 and 5 are a part of \(n^2\), then the numbers must also be a part of n.
Hence, we can conclude that 35 is a factor on n.
The statement alone is sufficient.
Statement 2
(2) 35 is a factor of \(5n\)
We know that 5n is divisible by 35. This doesn't tell us conclusively that n contains both a 7 and a 5. n may contain both 7 and 5, alternatively, n may just contain 7. While in the former case, 35 is a factor of \(n\) in the latter case, 35 is not a factor of \(n\).
Hence, this statement doesn't provide us with enough information to conclude whether 35 is a factor of \(n\).
Eliminate D.
Option A
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