GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 05 Apr 2020, 16:14

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.

Close

Request Expert Reply

Confirm Cancel

What is the value of k - n ? (1) k^2 - n^2 = 0 (2) k = 11

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 62498
What is the value of k - n ? (1) k^2 - n^2 = 0 (2) k = 11  [#permalink]

Show Tags

New post 18 Feb 2020, 02:43
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

77% (01:04) correct 23% (00:46) wrong based on 43 sessions

HideShow timer Statistics

CEO
CEO
User avatar
V
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 3445
Location: India
GMAT: QUANT EXPERT
Schools: IIM (A)
GMAT 1: 750 Q51 V41
WE: Education (Education)
Reviews Badge
Re: What is the value of k - n ? (1) k^2 - n^2 = 0 (2) k = 11  [#permalink]

Show Tags

New post 18 Feb 2020, 02:54
1
Bunuel wrote:
What is the value of k - n ?

(1) k^2 - n^2 = 0
(2) k = 11


Project DS Butler Data Sufficiency (DS3)


For DS butler Questions Click Here


Question: k - n = ?

Statement 1: k^2 - n^2 = 0

i.e. (k+n)*(k-n) = 0
So k-n may be zero but for k+n =0, k-n may have some other value as well hence

NOT SUFFICIENT

Statement 2: k = 11

No information about n hence

NOT SUFFICIENT

COmbining the two statements
(k+n)*(k-n) = 0 and k = 11 but n is still unknown

So k-n may be zero but for k+n =0, k-n may have some other value as well hence

NOT SUFFICIENT

Answer: Option E
_________________
Prosper!!!
GMATinsight .............(Bhoopendra Singh and Dr.Sushma Jha)
e-mail: info@GMATinsight.com l Call : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
Click Here for Uneditable GOOGLE reviews

Click here for Our VERBAL & QUANT private tutoring package details
My Recent Posts Q-1-Integer-Divisibility l Q-2-Inequality DS l Q-3-Standard Deviation l Q-4-Functions
ACCESS FREE GMAT TESTS HERE:22 FREE (FULL LENGTH) GMAT CATs LINK COLLECTION
GMATWhiz Representative
User avatar
G
Joined: 07 May 2019
Posts: 444
Location: India
Re: What is the value of k - n ? (1) k^2 - n^2 = 0 (2) k = 11  [#permalink]

Show Tags

New post 18 Feb 2020, 03:53
1
Bunuel wrote:
What is the value of k - n ?

(1) k^2 - n^2 = 0
(2) k = 11



Solution


Step 1: Analyse Question Stem


    • We need to find the value of \(k – n\).

Step 2: Analyse Statements Independently (And eliminate options) – AD/BCE


Statement 1: \(k^2 - n^2 = 0\)
    • \(k^2 – n^2 = 0 ⟹ (k+n)*(k-n) = 0 ⟹\) \((k+n) = 0\) or \((k-n) =0\)
    • So there will be two cases:
      o Case 1: \(k - n = 0\), or
      o Case 2: \(k+n = 0 ⟹ n= -k\) and \(k – n = 2k\), but we do not know the value of k.
From this statement we are not getting unique value of k – n.
Hence, statement 1 is not sufficient and we can eliminate answer options B, C and E
Statement 2: \(k = 11\)
    • We know the value of k but we don’t know n.
So, we cannot find \(k – n\).
Hence, statement 2 is also not sufficient and we can eliminate answer B.

Step 3: Analyse Statements by combining.


• From statement 1: \(k – n = 0\) or \(2k\)
• From statement 2: \(k = 11\)
• On combining both statements: \(k – n = 0 \) or \(22\)
Thus, the correct answer is Option E.
_________________

GMAT Prep truly Personalized using Technology


Prepare from an application driven course that serves real-time improvement modules along with a well-defined adaptive study plan. Start a free trial to experience it yourself and get access to 25 videos and 300 GMAT styled questions.

Helpful Links


Score Improvement Strategy: How to score Q50+ on GMAT | 5 steps to Improve your Verbal score
Study Plan Articles: 3 mistakes to avoid while preparing | How to create a study plan? | The Right Order of Learning | Importance of Error Log
Helpful Quant Strategies: Filling Spaces Method | Avoid Double Counting in P&C | The Art of Not Assuming anything in DS | Number Line Method
Key Verbal Techniques: Plan-Goal Framework in CR | Quantifiers the tiny Game-changers | Countable vs Uncountable Nouns | Tackling Confusing Words in Main Point
Director
Director
avatar
G
Joined: 14 Dec 2019
Posts: 503
Location: Poland
GMAT 1: 570 Q41 V27
WE: Engineering (Consumer Electronics)
Premium Member CAT Tests
Re: What is the value of k - n ? (1) k^2 - n^2 = 0 (2) k = 11  [#permalink]

Show Tags

New post 18 Feb 2020, 04:34
1
Bunuel wrote:
What is the value of k - n ?

(1) k^2 - n^2 = 0
(2) k = 11


Project DS Butler Data Sufficiency (DS3)


For DS butler Questions Click Here


i) \(k^2 - n^2 = (k+n) (k-n) = 0\) => either k+n = 0 or k-n =0 -> Insufficient
ii) \(k = 11\) - Insufficient

Combining i) and ii)
\(11^2 = n^2 \)=> n = +-11 => k-n = 0 or 22 - Insufficient

Answer - E
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 18 Aug 2017
Posts: 6018
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Reviews Badge
Re: What is the value of k - n ? (1) k^2 - n^2 = 0 (2) k = 11  [#permalink]

Show Tags

New post 18 Feb 2020, 07:38
Bunuel wrote:
What is the value of k - n ?

(1) k^2 - n^2 = 0
(2) k = 11


Project DS Butler Data Sufficiency (DS3)


For DS butler Questions Click Here



#1 k^2 - n^2 = 0
(k+n)(k-n) = 0
many possible values insufficient
#2
k=11 ; n not know
insufficient
from 1&2
we can say
121= n^2
n = +/-11
and k-n = 0 or 22
insufficient
IMO E
GMAT Club Bot
Re: What is the value of k - n ? (1) k^2 - n^2 = 0 (2) k = 11   [#permalink] 18 Feb 2020, 07:38
Display posts from previous: Sort by

What is the value of k - n ? (1) k^2 - n^2 = 0 (2) k = 11

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne