|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
21 Sep 2022, 04:37
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
56% (00:59) correct
44%
(01:34)
wrong
based on 48
sessions
History
Date
Time
Result
Not Attempted Yet
If k is a positive integer, is √k an integer?
(1) k = m^2, where m is an integer.
(2) √k = n, where n^2 is an integer.
(1) k = m^2, where m is an integer.
(2) √k = n, where n^2 is an integer.
Part of the project: GMAT DS & PS DAILY Challenge - [TOPIC WISE] (2022) - Gain 25 Kudos & Get FREE Access to GMATClub TESTS
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GMAT - Math Book
Ultimate GMAT Quantitative Megathread
ALL YOU NEED FOR QUANT ! ! !
ALL GMAT PREP PS + DS QUESTIONS (LINKS TO ALL 825 QUESTIONS)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GMAT - Math Book
Ultimate GMAT Quantitative Megathread
ALL YOU NEED FOR QUANT ! ! !
ALL GMAT PREP PS + DS QUESTIONS (LINKS TO ALL 825 QUESTIONS)
21 Sep 2022, 22:58
Kudos
Bookmarks
carcass
Solution:
Pre-Analysis:
- k is a positive integer
- We are asked if \sqrt{k} is an integer or not
- We are basically asked if k is a perfect square or not
- This is a Yes - No question
Statement 1: \(k = m^2\), where m is an integer
- This is exactly what the question is asking i.e. if k is square of an integer or not
- Thus, statement 1 alone is sufficient and we can eliminate options B, C and E
Statement 2: \(\sqrt{k}=n\), where \(n^2\) is an inetger
- If \(\sqrt{k}=n\), then \(n^2=(\sqrt{k})^2=k\) is an integer we know
- So, the second part of the information is sort of redundant
- Just knowing \(\sqrt{k}=n\) without any information on n is not sufficient to say if k is perfect square or not
- Thus, statement 2 alone is not sufficient
Hence the right answer is Option A
Moderators:
