GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 15 Dec 2018, 20:08

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 in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • $450 Tuition Credit & Official CAT Packs FREE

     December 15, 2018

     December 15, 2018

     10:00 PM PST

     11:00 PM PST

    Get the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)
  • FREE Quant Workshop by e-GMAT!

     December 16, 2018

     December 16, 2018

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.

Is point A closer to point (1,2) than to point (2,1) ?

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

Hide Tags

Manager
Manager
User avatar
Joined: 06 Apr 2010
Posts: 117
Reviews Badge
Is point A closer to point (1,2) than to point (2,1) ?  [#permalink]

Show Tags

New post 02 Mar 2011, 05:10
1
1
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

51% (01:12) correct 49% (01:18) wrong based on 191 sessions

HideShow timer Statistics

Is point A closer to point (1,2) than to point (2,1) ?

(1) Point A lies on the line y = x
(2) Point A lies on the line y = -x
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51218
Re: Is point A closer to point (1,2) than to point (2,1) ?  [#permalink]

Show Tags

New post 02 Mar 2011, 05:23
1
udaymathapati wrote:
Is point A closer to point (1,2) than to point (2,1) ?
1.Point A lies on the line y=x
2.Point A lies on the line y= -x

This is question from GMAT club test. Can anyone explain it with picture please?


See the graph below:
Attachment:
graph.php.png
graph.php.png [ 17.76 KiB | Viewed 4372 times ]

You can see that no matter where on blue line point A is, it will always be equidistant from the given points. So statement (1) is sufficient.

But if A is on the red line we can not say whether it's closer to point (1, 2) than to point (2, 1). Not sufficient.

Answer: A.

Also discussed here: m10-q27-ds-69234.html
_________________

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

Retired Moderator
avatar
Joined: 20 Dec 2010
Posts: 1820
Re: Is point A closer to point (1,2) than to point (2,1) ?  [#permalink]

Show Tags

New post 02 Mar 2011, 05:30
1
Is point A closer to point (1,2) than to point (2,1) ?
1.Point A lies on the line y=x
2.Point A lies on the line y= -x

Equation of a line passing through two points (1,2) and (2,1)

\(\frac{1-2}{2-1}=\frac{y-2}{x-1}\)

\(y = -x + 3\)

Slope =-1

1. y=x;
Slope = 1
Thus this line is perpendicular to the line (y = -x+3)

Not only this is perpendicular, but also it bisects the line in two equal parts.

Thus, all points on this line will be equidistant from both points (1,2) and (2,1).

Sufficient.

How to be sure that it is perpendicular bisector;

Let us find the midpoint of (1,2) and (2,1)

(2+1)/2, (1+2)/2

3/2, 3/2

Does this point satisfy the equation y=x; indeed it does.

2. y = -x

This line passes through the origin and goes at 45 degrees in 2nd and 4th quadrant.

So; if we visualize, when x=2, y=-2;
Point 2,1 will be closer

if x=-2, y=2
Point 1,2 will be closer.

Not sufficient.

Ans: "A"
_________________

~fluke

GMAT Club Premium Membership - big benefits and savings

Retired Moderator
avatar
Joined: 20 Dec 2010
Posts: 1820
Re: Is point A closer to point (1,2) than to point (2,1) ?  [#permalink]

Show Tags

New post 02 Mar 2011, 05:41
Bunuel wrote:
udaymathapati wrote:
Is point A closer to point (1,2) than to point (2,1) ?
1.Point A lies on the line y=x
2.Point A lies on the line y= -x

This is question from GMAT club test. Can anyone explain it with picture please?


See the graph below:
Attachment:
graph.php.png

You can see that no matter where on blue line point A is, it will always be equidistant from the given points. So statement (1) is sufficient.

But if A is on the red line we can not say whether it's closer to point (1, 2) than to point (2, 1). Not sufficient.

Answer: A.

Also discussed here: m10-q27-ds-69234.html


Bunuel, may I ask how to draw such fine graphical/geometrical figures and attach them? Is there any post where it is discussed in length?
_________________

~fluke

GMAT Club Premium Membership - big benefits and savings

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51218
Re: Is point A closer to point (1,2) than to point (2,1) ?  [#permalink]

Show Tags

New post 02 Mar 2011, 05:45
fluke wrote:
Bunuel wrote:
udaymathapati wrote:
Is point A closer to point (1,2) than to point (2,1) ?
1.Point A lies on the line y=x
2.Point A lies on the line y= -x

This is question from GMAT club test. Can anyone explain it with picture please?


See the graph below:
Attachment:
graph.php.png

You can see that no matter where on blue line point A is, it will always be equidistant from the given points. So statement (1) is sufficient.

But if A is on the red line we can not say whether it's closer to point (1, 2) than to point (2, 1). Not sufficient.

Answer: A.

Also discussed here: m10-q27-ds-69234.html


Bunuel, may I ask how to draw such fine graphical/geometrical figures and attach them? Is there any post where it is discussed in length?


Usually I use these two online plotters: http://graph-plotter.cours-de-math.eu/ and http://www.wolframalpha.com/

Then save the image and attach to the post (Choose file --> Add the file).
_________________

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

VP
VP
avatar
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 1033
Re: Is point A closer to point (1,2) than to point (2,1) ?  [#permalink]

Show Tags

New post 19 May 2011, 01:49
point on y=x

mirror image line this is. distance will be always equal.
Director
Director
avatar
Status: Final Lap Up!!!
Affiliations: NYK Line
Joined: 21 Sep 2012
Posts: 946
Location: India
GMAT 1: 410 Q35 V11
GMAT 2: 530 Q44 V20
GMAT 3: 630 Q45 V31
GPA: 3.84
WE: Engineering (Transportation)
Re: Is point A closer to point (1,2) than to point (2,1) ?  [#permalink]

Show Tags

New post 03 Feb 2013, 12:39
Is point A closer to point (1,2) than to point (2,1)?

(1) Point A lies on the line y=x

(2) Point A lies on the line y=−x
Director
Director
avatar
Status: Final Lap Up!!!
Affiliations: NYK Line
Joined: 21 Sep 2012
Posts: 946
Location: India
GMAT 1: 410 Q35 V11
GMAT 2: 530 Q44 V20
GMAT 3: 630 Q45 V31
GPA: 3.84
WE: Engineering (Transportation)
Re: Is point A closer to point (1,2) than to point (2,1) ?  [#permalink]

Show Tags

New post 03 Feb 2013, 12:42
My doubt is The answer to above question is A, but I am not convinced.
consider a point on Y = X
(1,1)
Its distance from (1,2) is 1 unit
its distance from (2,1) is 1 unit

For the answer to be A , statement 1 should specifically answer that it is either closer to one of the two points.

Pls corrcct me if i am wrong.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51218
Re: Is point A closer to point (1,2) than to point (2,1) ?  [#permalink]

Show Tags

New post 03 Feb 2013, 13:12
Director
Director
avatar
Status: Final Lap Up!!!
Affiliations: NYK Line
Joined: 21 Sep 2012
Posts: 946
Location: India
GMAT 1: 410 Q35 V11
GMAT 2: 530 Q44 V20
GMAT 3: 630 Q45 V31
GPA: 3.84
WE: Engineering (Transportation)
Re: Is point A closer to point (1,2) than to point (2,1) ?  [#permalink]

Show Tags

New post 03 Feb 2013, 15:22
Hi bunuel
I have checked the post prior to posting the question, but it does not addresses my doubt...can you pls help me with the doubt its posted above.

Regards
Archit
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51218
Re: Is point A closer to point (1,2) than to point (2,1) ?  [#permalink]

Show Tags

New post 04 Feb 2013, 03:10
Archit143 wrote:
Hi bunuel
I have checked the post prior to posting the question, but it does not addresses my doubt...can you pls help me with the doubt its posted above.

Regards
Archit


First of all, please post your doubts/questions in the thread which already exists.

As for your question:
Archit143 wrote:
My doubt is The answer to above question is A, but I am not convinced.
consider a point on Y = X
(1,1)
Its distance from (1,2) is 1 unit
its distance from (2,1) is 1 unit

For the answer to be A , statement 1 should specifically answer that it is either closer to one of the two points.

Pls corrcct me if i am wrong.


Yes, you are wrong. The question asks whether point A is closer to point (1,2) than to point (2,1). From (1) we have that ANY point on y=x is equidistant from the given points, so the answer to the question is NO.

Hope it's clear.
_________________

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

Veritas Prep GMAT Instructor
User avatar
P
Joined: 16 Oct 2010
Posts: 8678
Location: Pune, India
Re: Is point A closer to point (1,2) than to point (2,1) ?  [#permalink]

Show Tags

New post 04 Feb 2013, 20:08
Archit143 wrote:
My doubt is The answer to above question is A, but I am not convinced.
consider a point on Y = X
(1,1)
Its distance from (1,2) is 1 unit
its distance from (2,1) is 1 unit

For the answer to be A , statement 1 should specifically answer that it is either closer to one of the two points.

Pls corrcct me if i am wrong.


DS questions of this type are often a source of confusion.

There are two types of DS questions:
1. What is the value of x? Here you need to answer the question with one unique value. If you do, the statement(s) is(are) sufficient. Otherwise not.
2. Is x = 4? Here you need to answer the question with either a 'Yes' or a 'No'. Either is acceptable as long as you can take a stand. You could have found that x must be 4 or you could have found that x cannot be 4. If you say 'may be' or 'cannot say', that's when the statement is not sufficient to answer this question.

If you can say that the point will be equidistant from (2, 1) and (1, 2), you can say that 'no, it is not closer to (1, 2)' which is a perfectly acceptable reply. When you say that may be it is closer, may be it is not, that's when the statement is not sufficient.
_________________

Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >

CEO
CEO
User avatar
P
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2711
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: Is point A closer to point (1,2) than to point (2,1) ?  [#permalink]

Show Tags

New post 28 Oct 2014, 04:17
Answe: Option A
Attachments

1.jpg
1.jpg [ 207.93 KiB | Viewed 1701 times ]


_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Intern
Intern
avatar
Joined: 03 Feb 2018
Posts: 2
Re: Is point A closer to point (1,2) than to point (2,1) ?  [#permalink]

Show Tags

New post 28 Sep 2018, 13:53
But why can't we apply the formula of "distance of line from a point" in equation of the line is given!!!!

Posted from my mobile device
CEO
CEO
User avatar
P
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2711
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Is point A closer to point (1,2) than to point (2,1) ?  [#permalink]

Show Tags

New post 28 Sep 2018, 19:40
dipankar0890 wrote:
But why can't we apply the formula of "distance of line from a point" in equation of the line is given!!!!

Posted from my mobile device


dipankar0890
Distance of a point from a line is always the perpendicular distance (Shortest distance) whereas the question doesn't talk about the shortest distance in question.

When the question says that point A is on the line then it never mentions that Points is on the line at shortest distance from given points, therefore point A remains variable anywhere on th eline hence the distance can't be predicted.

I hope this explains your doubt.
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

GMAT Club Bot
Is point A closer to point (1,2) than to point (2,1) ? &nbs [#permalink] 28 Sep 2018, 19:40
Display posts from previous: Sort by

Is point A closer to point (1,2) than to point (2,1) ?

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.