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

It is currently 10 Dec 2018, 18:27

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
  • Free lesson on number properties

     December 10, 2018

     December 10, 2018

     10:00 PM PST

     11:00 PM PST

    Practice the one most important Quant section - Integer properties, and rapidly improve your skills.
  • Free GMAT Prep Hour

     December 11, 2018

     December 11, 2018

     09:00 PM EST

     10:00 PM EST

    Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.

In the coordinate geometry plane, point A is the midpoint between poin

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51072
In the coordinate geometry plane, point A is the midpoint between poin  [#permalink]

Show Tags

New post 06 Jun 2017, 09:32
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

64% (01:52) correct 36% (01:34) wrong based on 215 sessions

HideShow timer Statistics

In the coordinate geometry plane, point A is the midpoint between points (5,8) and (-3, -2). If the midpoint between point A and point B is (4, -1), in which quadrant does point B lie?

A. I
B. II
C. III
D. IV
E. None of the above

_________________

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

Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3325
Location: India
GPA: 3.12
Premium Member CAT Tests
In the coordinate geometry plane, point A is the midpoint between poin  [#permalink]

Show Tags

New post 06 Jun 2017, 09:46
1
Midpoint of 2 points (x1,y1) and (x2,y2) can be calculated by using (\(\frac{x1+x2}{2}\),\(\frac{y1+y2}{2}\))

Now coming to the question at hand.

Given: Points A(5,8) and B(-3,-2)

The midpoint is (1,3). Let's call this point X

Given: The midpoint of points Y(a,b) and X(1,3) is (4,-1)

Using midpoint formula, we get \(\frac{(a+1)}{2} = 4\) and \(\frac{(b+3)}{2} = -1\)

Therefore, we can get point Y(a,b) to be (7,-5) which is in the IV quadrant(Option D)
_________________

You've got what it takes, but it will take everything you've got

Intern
Intern
avatar
B
Joined: 07 Sep 2015
Posts: 2
Re: In the coordinate geometry plane, point A is the midpoint between poin  [#permalink]

Show Tags

New post 06 Jun 2017, 09:52
pushpitkc wrote:
Midpoint of 2 points (x1,y1) and (x2,y2) can be calculated by using (\(\frac{(x1+x2)}{2}\),\(\frac{(y1+y2)}{2}\))

Now coming to the question at hand. Given points A(5,8) and B(-3,-2)
Midpoint is (1,3). Lets call this point X

Given midpoint of a point Y(a,b) and X(1,3) is (4,-1)

So \(\frac{(a+1)}{2} = 4\) and \(\frac{(b+3)}{2} = -1\)
Hence we can get point (a,b) to be (7,-5) which is obviously in the II quadrant(Option B)


(7, -5) is obviously in the IV quadrant
CEO
CEO
User avatar
D
Joined: 11 Sep 2015
Posts: 3228
Location: Canada
Re: In the coordinate geometry plane, point A is the midpoint between poin  [#permalink]

Show Tags

New post 06 Jun 2017, 09:59
Top Contributor
Bunuel wrote:
In the coordinate geometry plane, point A is the midpoint between points (5,8) and (-3, -2). If the midpoint between point A and point B is (4, -1), in which quadrant does point B lie?

A. I
B. II
C. III
D. IV
E. None of the above


The midpoint of (a, b) and (c, d) = [(a+c)/2, (b+d)/2]

Given: Point A is the midpoint between points (5,8) and (-3, -2)
So, the coordinates of point A = [(5 + -3)/2, (8 + -2)/2] = (2/2, 6/2) = (1, 3)

Given: The midpoint between point A and point B is (4, -1)
So, we don't know the coordinates of point B
Let the coordinates of point B = (x, y)

Applying the formula, we get: [(1 + x)/2, (3 + y)/2] = (4, -1)
This means (1 + x)/2 = 4
Solve to get: x = 7

It also means (3 + y)/2 = -1
Solve to get: y = -5

So, the coordinates of point B = (7, -5)
So, point B is in quadrant IV

Image

Answer:
Attachments

A4.png
A4.png [ 36.99 KiB | Viewed 3045 times ]


_________________

Test confidently with gmatprepnow.com
Image

Manager
Manager
avatar
S
Joined: 13 Mar 2013
Posts: 164
Location: United States
Concentration: Leadership, Technology
GPA: 3.5
WE: Engineering (Telecommunications)
Re: In the coordinate geometry plane, point A is the midpoint between poin  [#permalink]

Show Tags

New post 10 Jun 2017, 05:56
OA is D ?


(5,8)---------------Mid point A ( 1,3 ) ------------------ (-3, -2)

To cal the mid point
(5 +(-3))/2=1
(8 + (-2))/2=3

Now
A(1,3)-------------Mid point ( (4, -1) ----------B(x,y)
we are required to cal. B ( x,y)

By Mid Point Rule

B is ( 7,-5) .

Hence IV quadrant
_________________

Regards ,

Director
Director
avatar
S
Joined: 12 Nov 2016
Posts: 734
Location: United States
Schools: Yale '18
GMAT 1: 650 Q43 V37
GRE 1: Q157 V158
GPA: 2.66
Re: In the coordinate geometry plane, point A is the midpoint between poin  [#permalink]

Show Tags

New post 15 Jun 2017, 20:20
Bunuel wrote:
In the coordinate geometry plane, point A is the midpoint between points (5,8) and (-3, -2). If the midpoint between point A and point B is (4, -1), in which quadrant does point B lie?

A. I
B. II
C. III
D. IV
E. None of the above


In order to solve this question we need to know the midpoint formula- however, there is an interesting way to look at this formula. Rather than memorize the formula, notice that the x coordinates for the midpoint are simply the average two given x values- so it doesn't matter which order you add them in (commutative property of addition). Also, the y coordinate of the midpoint is just the average of the two y values. This is perhaps a better way to look at the formula so as to have it stick in your head like riding a bike. But anyways, the question stem gives us a midpoint between two coordinates, we don't necessarily have to call these coordinates anything or draw diagram- just take the average of both x coordinates and the average of both y coordinates in order to find the midpoint. We then just reverse engineer and use algebra in order to find the missing variable in our midpoint formula for B- in simple terms, the average of a's x coordinate and the x coordinate of some other point must equal the x coordinate of B AND the average point A's y coordinate and some other point must equal the y coordinate of B.

1 + x /2 = 4
1 + x= 8
x= = 7

3 + y/2= -1
3 + y = -2
y= -5
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9099
Premium Member
Re: In the coordinate geometry plane, point A is the midpoint between poin  [#permalink]

Show Tags

New post 12 Aug 2018, 02:58
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

GMAT Club Bot
Re: In the coordinate geometry plane, point A is the midpoint between poin &nbs [#permalink] 12 Aug 2018, 02:58
Display posts from previous: Sort by

In the coordinate geometry plane, point A is the midpoint between poin

  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®.