It is currently 24 Nov 2017, 04:50

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

S96-02

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42356

Kudos [?]: 133196 [0], given: 12439

S96-02 [#permalink]

Show Tags

New post 16 Sep 2014, 01:50
Expert's post
5
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

33% (00:52) correct 67% (01:11) wrong based on 105 sessions

HideShow timer Statistics

Kudos [?]: 133196 [0], given: 12439

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42356

Kudos [?]: 133196 [1], given: 12439

Re S96-02 [#permalink]

Show Tags

New post 16 Sep 2014, 01:50
1
This post received
KUDOS
Expert's post
Official Solution:


The question cannot be easily rephrased to incorporate the particular information given. However, of course we should take note that both variables are integers and that \(x\) is less than \(y\). We are looking for the value of \(x + y\).

Statement (1): SUFFICIENT. First, we should list out all the possible scenarios in which integers \(x\) and \(y\) fit the equation \(x^y = 4\).

There are three possibilities, as we can find by trial and error: \(2^2 = 4\), \((-2)^2 = 4\), and \(4^1 = 4\). However, of these possibilities, there is only one for which \(x\) is less than \(y\), namely \((-2)^2 = 4\). Thus, we can find the value of \(x + y\), which is \(-2 + 2 = 0\).

Statement (2): SUFFICIENT. Knowing that \(|x| = |y|\) does not tell us the values of the integers. However, since they have the same absolute value, but \(x\) is less than \(y\), it must be the case that \(y\) is a positive integer and \(x\) is the negative of that integer. For instance, if \(y\) is 5, then \(x\) is -5. The sum of \(x\) and \(y\) must therefore be 0, no matter what.


Answer: D
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 133196 [1], given: 12439

Intern
Intern
avatar
Joined: 19 Jul 2016
Posts: 11

Kudos [?]: 2 [0], given: 6

Re: S96-02 [#permalink]

Show Tags

New post 27 Aug 2016, 05:31
I didn't understand the logic of the solution. By knowing |x| = |y|, how can we find out x+y? Also, when it is mentioned that x<y.

Kudos [?]: 2 [0], given: 6

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42356

Kudos [?]: 133196 [0], given: 12439

Re: S96-02 [#permalink]

Show Tags

New post 27 Aug 2016, 05:41
agarwalneha1 wrote:
I didn't understand the logic of the solution. By knowing |x| = |y|, how can we find out x+y? Also, when it is mentioned that x<y.


Please read the first sentence of the question: If \(x\) and \(y\) are integers and \(x \lt y\),...
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 133196 [0], given: 12439

Intern
Intern
avatar
Joined: 19 Jul 2016
Posts: 11

Kudos [?]: 2 [0], given: 6

Re: S96-02 [#permalink]

Show Tags

New post 27 Aug 2016, 10:28
Bunuel wrote:
agarwalneha1 wrote:
I didn't understand the logic of the solution. By knowing |x| = |y|, how can we find out x+y? Also, when it is mentioned that x<y.


Please read the first sentence of the question: If \(x\) and \(y\) are integers and \(x \lt y\),...


Thanks.. I got the point.

Kudos [?]: 2 [0], given: 6

Intern
Intern
avatar
Joined: 20 Jul 2016
Posts: 1

Kudos [?]: [0], given: 0

Re: S96-02 [#permalink]

Show Tags

New post 18 Oct 2016, 02:47
I still don't understand how the second statement in sufficient.

Kudos [?]: [0], given: 0

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42356

Kudos [?]: 133196 [0], given: 12439

Re: S96-02 [#permalink]

Show Tags

New post 18 Oct 2016, 02:53
A1996J wrote:
I still don't understand how the second statement in sufficient.


If x and y are integers and x<y, what is the value of x+y?

(1) x^y=4 --> as x and y are integers and x<y then only possible solution is (-2)^2=4 (other integer solutions for x^y=4 are: 2^2=4 and 4^1=4) --> x+y=-2+2=0. Sufficient.

(2) |x|=|y| --> as also x<y then they have opposite signs (x<0<y, so |x|=-x and|y|=y) --> -x=y --> x+y=0. Sufficient.

Answer: D.

Hope it helps.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 133196 [0], given: 12439

Intern
Intern
avatar
B
Joined: 22 Mar 2016
Posts: 2

Kudos [?]: [0], given: 14

Re: S96-02 [#permalink]

Show Tags

New post 15 Oct 2017, 09:33
I love this question, got it wrong because I didnt understand the logic of statement 2. Cheers

Kudos [?]: [0], given: 14

Re: S96-02   [#permalink] 15 Oct 2017, 09:33
Display posts from previous: Sort by

S96-02

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

Moderators: chetan2u, Bunuel



GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.