MBA Spotlight – The Biggest MBA Fair is June 13-14
close
It is currently 29 May 2023, 01:47
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
New comers' posts

Close

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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel

If -10 < k < 10, is k > 0 ?

11 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
avatar
Shiv636
Intern
Intern
Joined: 01 Jan 2011
Posts: 15
Location: Kansas, USA
Schools:INSEAD, Wharton
If -10 < k < 10, is k > 0 ? [#permalink] New post  Updated on: 17 Jul 2012, 01:43
5
Kudos
11
Bookmarks
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

85% (00:50) correct 15% (01:04) wrong based on 684 sessions

Hide Show timer Statistics

If -10 < k < 10, is k > 0 ?

(1) 1/k > 0
(2) k^2 > 0
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

Originally posted by Shiv636 on 16 Jul 2012, 20:28.
Last edited by Bunuel on 17 Jul 2012, 01:43, edited 1 time in total.
EDITED THE QUESTION.
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
Most Helpful Expert Reply
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 88712
CAT Tests Forum Quiz Mode Top Member of the Month
Re: If -10 < k < 10, is k > 0 ? [#permalink] New post  17 Jul 2012, 01:53
1
Kudos
3
Bookmarks
Expert Reply
If -10 < k < 10, is k > 0 ?

(1) 1/k > 0 --> \(k>0\). Sufficient
.
(2) k^2 > 0. This statement just says that \(k\neq{0}\). Not sufficient.

Answer: A.

sayak636 wrote:
This is a relatively simple (600 level) question from the OG. I have a doubt though: Statement 1 says that 1/k>0. Well, for K=0, 1/k= Infinity and is thus >0. Hence, statement 1 should be insufficient. If you combine (1) and (2), only then can you say that K<>0 and hence the two statements together are sufficient.

I didn't post this part along with the question above to ensure that I do not interfere with the thought process of others. Am I missing something here?


The first statement says that \(\frac{1}{k} > 0\). Now, if \(k=0\), then \(\frac{1}{k}=\frac{1}{0}= undefined\) (division by zero is not allowed), hence in this case \(\frac{1}{k}>0\) does not hold true, which means that \(k\) cannot equal to zero.

Hope it's clear.

P.S. Please read and follow: rules-for-posting-please-read-this-before-posting-133935.html
_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
General Discussion
avatar
heygmat
Intern
Intern
Joined: 26 May 2012
Posts: 16
Re: Question from OG [#permalink] New post  17 Jul 2012, 06:45
sayak636 wrote:
This is a relatively simple (600 level) question from the OG. I have a doubt though: Statement 1 says that 1/k>0. Well, for K=0, 1/k= Infinity and is thus >0. Hence, statement 1 should be insufficient. If you combine (1) and (2), only then can you say that K<>0 and hence the two statements together are sufficient.

I didn't post this part along with the question above to ensure that I do not interfere with the thought process of others. Am I missing something here?



u must take the statements are right. u r wrong, if u justify these by evaluation.
in statement 1 says-------1/k is greater than 0 dentes k must be greater than 0 to be valid of this statement.

oh, yes 0 is neither negative nor positive in this connection. your confusion is infinity, does it mean, if k equal to 0, the expression is right.

got it?
User avatar
appsy01
Intern
Intern
Joined: 01 Nov 2015
Posts: 29
Location: India
Concentration: Marketing, Entrepreneurship
WE:Engineering (Computer Software)
Re: If -10 < k < 10, is k > 0 ? [#permalink] New post  24 Dec 2015, 08:54
Given -10 < k <10 , is k>0

This is simple if we think the question in terms of sign of k rather than its values

(1) 1/k > 0
1/k is +ve this means k is +ve Sufficient

(2) k^2 > 0
k^2 is +ve means, k could either be +ve or -ve
Insufficient.

Answer is A
User avatar
B
LogicGuru1
Senior Manager
Senior Manager
Joined: 04 Jun 2016
Posts: 491
GMAT 1: 750 Q49 V43
Re: If -10 < k < 10, is k > 0 ? [#permalink] New post  18 Jul 2016, 04:19
1
Kudos
Shiv636 wrote:
If -10 < k < 10, is k > 0 ?

(1) 1/k > 0
(2) k^2 > 0


If -10 < k < 10, is k > 0 ?
(1) 1/k > 0
It means K cannot be negative because 1 divided by a negative number will yield negative number and by definition -ve<0
so k will always be greater than 0
K>0 yes
SUFFICIENT


(2) k^2 > 0
Squaring a term takes away its polarity so k can be both negative and positive
If k is -ve then 1/-ve will be <0 ; hence the answer will be NO
if k is +ve then 1/+ve will be >0 ; hence answer will be YES
INSUFFICIENT

ANSWER is A
_________________
Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly.
FINAL GOODBYE :- 17th SEPTEMBER 2016. .. 16 March 2017 - I am back but for all purposes please consider me semi-retired.
Signature Read More
avatar
B
Ben10512
Intern
Intern
Joined: 11 Jan 2020
Posts: 4
Re: If -10 < k < 10, is k > 0 ? [#permalink] New post  01 Apr 2020, 07:06
Hi experts,
Could you please look into my question.
As per statement 1) 1/k>0. What I learnt from previous questions is that we cannot decide whether 1/k is positive or negative in such cases. The sign could be negative or positive. Then how can we conclude that k>0. Moreover, it is nowhere mentioned that k is a positive integer.

Posted from my mobile device
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 88712
CAT Tests Forum Quiz Mode Top Member of the Month
Re: If -10 < k < 10, is k > 0 ? [#permalink] New post  01 Apr 2020, 07:23
Expert Reply
Ben10512 wrote:
Hi experts,
Could you please look into my question.
As per statement 1) 1/k>0. What I learnt from previous questions is that we cannot decide whether 1/k is positive or negative in such cases. The sign could be negative or positive. Then how can we conclude that k>0. Moreover, it is nowhere mentioned that k is a positive integer.

Posted from my mobile device


1/k > 0 directly tells us that 1/k is positive (1/k is more than 0). 1/k to be positive k has to be positive. It's that simple. Also, k can be any positive number integer or not.

I think you should brush up basics on inequalities. Check the links below.

9. Inequalities



For more check Ultimate GMAT Quantitative Megathread



Hope it helps.
_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
User avatar
L
hiranmay
Senior Manager
Senior Manager
Joined: 12 Dec 2015
Posts: 486
Re: If -10 < k < 10, is k > 0 ? [#permalink] New post  01 Apr 2020, 07:41
If -10 < k < 10, is k > 0 ?

(1) 1/k > 0 --> suff: 1/k > 0 => k/k^2>0 => k > 0
(2) k^2 > 0 --> insuff: k^2 > 0 => k > 0 or k < 0

Answer: A
User avatar
L
Kinshook
GMAT Club Legend
GMAT Club Legend
Joined: 03 Jun 2019
Posts: 5013
Location: India
Schools: HBS '22 CBS '22 Wharton '22
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Reviews Badge
Re: If -10 < k < 10, is k > 0 ? [#permalink] New post  01 Apr 2020, 08:40
Shiv636 wrote:
If -10 < k < 10, is k > 0 ?

(1) 1/k > 0
(2) k^2 > 0


Asked: If -10 < k < 10, is k > 0 ?

(1) 1/k > 0
k>0 and k<>0
SUFFICIENT

(2) k^2 > 0
|k|>0
\(k \neq 0 \)
k may be positive or negative
NOT SUFFICIENT

IMO A
_________________
Kinshook Chaturvedi
Email: kinshook.chaturvedi@gmail.com
Signature Read More
avatar
B
palaknayyar
Current Student
Joined: 31 Jul 2015
Posts: 52
Location: India
Schools: Darden '24 (D) McDonough '24 (A) Owen '24 (I) Tepper '24 (S) McCombs '24
GPA: 3.46
Re: If -10 < k < 10, is k > 0 ? [#permalink] New post  09 May 2021, 10:48
Shiv636 wrote:
If -10 < k < 10, is k > 0 ?

(1) 1/k > 0
(2) k^2 > 0


S1: well 1/k > 0 is possible ONLY when k>0. if k<0, this would've been a negative number. Sufficient. Keep A and D, strike off BCE.
S2. square (or for that matter any even powers) will always be positive, no matter the sign of k. Therefore B is not sufficient.

Final answer A. Hope this was helpful.
_________________
Here to learn and grow.
Signature Read More
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 27812
Re: If -10 < k < 10, is k > 0 ? [#permalink] New post  21 Nov 2022, 05:46
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources
Signature Read More
GMAT Club Bot
gmatclubot
Re: If -10 < k < 10, is k > 0 ? [#permalink]
21 Nov 2022, 05:46
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderator:
Bunuel
Math Expert
88708 posts

cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions