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21 May 2017, 11:21
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E
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:
69% (00:51) correct
31%
(00:49)
wrong
based on 72
sessions
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Is the integer n greater than 3?
(1) 2n is a positive integer.
(2) \(\sqrt{n}\) is an integer
(1) 2n is a positive integer.
(2) \(\sqrt{n}\) is an integer
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
Shruti0805
21 May 2017, 23:06
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Bunuel
Stmt 1 : 2n > 0
=> n > 0.
N can be 1/2/3 or 4 and greater, Not Sufficient.
Stmt 2 : \(\sqrt{n}\) is an Integer. N can be 1 or 100. Not sufficient.
Combining, n > 0 and a perfect square. Can be 1 or 100. Not sufficient. Should be E.
22 May 2017, 05:10
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Statement 1. 2n is a positive integer.
if 2n > 0 then n>0
So we get that n is a positive integer but nothing else. Insufficient.
Statement 2. If square root of n is an integer, then n is a perfect square.
n could be: 0, 1, 4, 9, 16, 25,...
of which some values are less than 3 and others are not. Insufficient.
Lets combine the two statements. We get that n >0 and n is a perfect square.
So n could be: 1, 4, 9, 16, 25,...
Of which 1 is less than 3 but all other values are greater than 3. Still Insufficient.
Hence E answer
if 2n > 0 then n>0
So we get that n is a positive integer but nothing else. Insufficient.
Statement 2. If square root of n is an integer, then n is a perfect square.
n could be: 0, 1, 4, 9, 16, 25,...
of which some values are less than 3 and others are not. Insufficient.
Lets combine the two statements. We get that n >0 and n is a perfect square.
So n could be: 1, 4, 9, 16, 25,...
Of which 1 is less than 3 but all other values are greater than 3. Still Insufficient.
Hence E answer
