Events & Promotions
|
|
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.
Nov 2007:30 AM PST
-08:30 AM PST
Learn what truly sets the UC Riverside MBA apart and how it helps in your professional growth
Nov 2001:30 PM EST
-02:30 PM IST
Learn how Kamakshi achieved a GMAT 675 with an impressive 96th %ile in Data Insights. Discover the unique methods and exam strategies that helped her excel in DI along with other sections for a balanced and high score.
Nov 2206:30 AM PST
-08:30 AM PST
Let’s dive deep into advanced CR to ace GMAT Focus! Join this webinar to unlock the secrets to conquering Boldface and Paradox questions with expert insights and strategies. Elevate your skills and boost your GMAT Verbal Score now!
Nov 2211:00 AM IST
-01:00 PM IST
Do RC/MSR passages scare you? e-GMAT is conducting a masterclass to help you learn – Learn effective reading strategies Tackle difficult RC & MSR with confidence Excel in timed test environment- Nov 23
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Nov 2407:00 PM PST
-08:00 PM PST
Full-length FE mock with insightful analytics, weakness diagnosis, and video explanations!
Nov 2510:00 AM EST
-11:00 AM EST
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors.
19 Dec 2010, 19:45
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
58% (01:21) correct
42%
(01:11)
wrong
based on 592
sessions
History
Date
Time
Result
Not Attempted Yet
Is s an odd integer?
(1) \(\sqrt{s}\) is not an even integer.
(2) s^2 is not an even integer.
(1) \(\sqrt{s}\) is not an even integer.
(2) s^2 is not an even integer.
When not mentioned do we consider irrational numbers as well? Please clarify. Thanks !
20 Dec 2010, 00:38
Kudos
Bookmarks
GMAT is dealing only with Real Numbers: Integers, Fractions and Irrational Numbers. So, if there is no restriction then you must consider irrational numbers as well.
Note that only integers can be even or odd. So, for example there is no difference in asking "is s an odd integer" and "is s odd".
For more check Number Theory chapter of Math Book: https://gmatclub.com/forum/math-number-theory-88376.html
Back to the original question:
Is s an odd integer?
(1) \(\sqrt{s}\) is not an even integer --> \(\sqrt{s}\) might be an odd integer, for example 1, 3, ... and in this case \(s\) will be an odd integer, but \(\sqrt{s}\) might as well be a fraction, for example 1/3, 7/5 and in this case \(s\) won't be an integer at all. \(s\) also might be an irrational number, for example \(\sqrt{2}\), \(\sqrt{3}\), \(\sqrt{{\frac{1}{3}}}\) ... and in this case \(s\) might or might not be an odd integer. Not sufficient.
(2) s^2 is not an even integer --> the same here: \(s^2\) might be a square of an odd integer, for example 1, 9, ... and in this case \(s\) will be an odd integer, but \(s^2\) might as well not be a perfect square, for example 1/3, 17, and in this case \(s\) won't be an integer at all. Not sufficient.
(1)+(2) When combined still insufficient: if \(s=1\) then the answer will be YES but if if \(s=\frac{1}{3}\) then the answer will be NO.
Answer: E.
Hope it's clear.
Note that only integers can be even or odd. So, for example there is no difference in asking "is s an odd integer" and "is s odd".
For more check Number Theory chapter of Math Book: https://gmatclub.com/forum/math-number-theory-88376.html
Back to the original question:
Is s an odd integer?
(1) \(\sqrt{s}\) is not an even integer --> \(\sqrt{s}\) might be an odd integer, for example 1, 3, ... and in this case \(s\) will be an odd integer, but \(\sqrt{s}\) might as well be a fraction, for example 1/3, 7/5 and in this case \(s\) won't be an integer at all. \(s\) also might be an irrational number, for example \(\sqrt{2}\), \(\sqrt{3}\), \(\sqrt{{\frac{1}{3}}}\) ... and in this case \(s\) might or might not be an odd integer. Not sufficient.
(2) s^2 is not an even integer --> the same here: \(s^2\) might be a square of an odd integer, for example 1, 9, ... and in this case \(s\) will be an odd integer, but \(s^2\) might as well not be a perfect square, for example 1/3, 17, and in this case \(s\) won't be an integer at all. Not sufficient.
(1)+(2) When combined still insufficient: if \(s=1\) then the answer will be YES but if if \(s=\frac{1}{3}\) then the answer will be NO.
Answer: E.
Hope it's clear.
General Discussion
12 Feb 2012, 01:13
Kudos
Bookmarks
Is s an odd integer?
(1) \(\sqrt{s}\) is not an even integer. Notice we are not told that \(\sqrt{s}=odd\), we are told that \(\sqrt{s}\neq{even}\), those ARE NOT the same. \(\sqrt{s}\) might be an odd integer, for example 1, 3, ... and in this case \(s\) will be an odd integer, but \(\sqrt{s}\) might as well be a fraction, for example 1/3, 7/5 and in this case \(s\) won't be an integer at all. \(\sqrt{s}\) also might be an irrational number, for example \(\sqrt{2}\), \(\sqrt{3}\), \(\sqrt{{\frac{1}{3}}}\) ... and in this case \(s\) might or might not be an odd integer. Not sufficient.
(2) \(s^2\) is not an even integer. Notice again that we are not told that \(s^2=odd\), we are told that \(s^2\neq{even}\), those ARE NOT the same. The same here: \(s^2\) might be a square of an odd integer, for example 1, 9, ... and in this case \(s\) will be an odd integer, but \(s^2\) might as well not be a perfect square, for example 1/3, 17, and in this case \(s\) won't be an integer at all. Not sufficient.
(1)+(2) When combined still insufficient: if \(s=1\) then the answer will be YES but if \(s=\frac{1}{3}\) then the answer will be NO.
Answer: E.
Hope it's clear.
(1) \(\sqrt{s}\) is not an even integer. Notice we are not told that \(\sqrt{s}=odd\), we are told that \(\sqrt{s}\neq{even}\), those ARE NOT the same. \(\sqrt{s}\) might be an odd integer, for example 1, 3, ... and in this case \(s\) will be an odd integer, but \(\sqrt{s}\) might as well be a fraction, for example 1/3, 7/5 and in this case \(s\) won't be an integer at all. \(\sqrt{s}\) also might be an irrational number, for example \(\sqrt{2}\), \(\sqrt{3}\), \(\sqrt{{\frac{1}{3}}}\) ... and in this case \(s\) might or might not be an odd integer. Not sufficient.
(2) \(s^2\) is not an even integer. Notice again that we are not told that \(s^2=odd\), we are told that \(s^2\neq{even}\), those ARE NOT the same. The same here: \(s^2\) might be a square of an odd integer, for example 1, 9, ... and in this case \(s\) will be an odd integer, but \(s^2\) might as well not be a perfect square, for example 1/3, 17, and in this case \(s\) won't be an integer at all. Not sufficient.
(1)+(2) When combined still insufficient: if \(s=1\) then the answer will be YES but if \(s=\frac{1}{3}\) then the answer will be NO.
Answer: E.
Hope it's clear.
