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HKD1710
Retired Moderator
Joined: 21 Jun 2014
Last visit: 26 Feb 2021
Posts: 958
Location: India
Concentration: General Management, Technology
Schools: IIMB IIMA ISB PGP Pro '19
GMAT 1: 540 Q45 V20
GPA: 2.49
WE:Information Technology (Computer Software)
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:
65% (00:35) correct
35%
(01:08)
wrong
based on 53
sessions
History
Date
Time
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Is a certain number \(p\) an integer?
(1) \(\sqrt{p}\) is an integer.
(2) \(p^2\) is an integer.
(1) \(\sqrt{p}\) is an integer.
(2) \(p^2\) 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
Is a certain number \(p\) an integer?
(1) \(\sqrt{p}\) is an integer --> \(\sqrt{p}=integer\) --> \(p=integer^2=integer\). Sufficient.
(2) \(p^2\) is an integer. If p^2 = perfect square, say 4, then p will be an integer but if p^2 is not a perfect square, say 2, then p will not be an integer. Not sufficient.
Answer: A.
_________________
(1) \(\sqrt{p}\) is an integer --> \(\sqrt{p}=integer\) --> \(p=integer^2=integer\). Sufficient.
(2) \(p^2\) is an integer. If p^2 = perfect square, say 4, then p will be an integer but if p^2 is not a perfect square, say 2, then p will not be an integer. Not sufficient.
Answer: A.
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