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

It is currently 24 Sep 2018, 13:08

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

In the figure above, what are the coordinates of point R ?

  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: 49430
In the figure above, what are the coordinates of point R ?  [#permalink]

Show Tags

New post 21 Jun 2018, 09:44
Top Contributor
2
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

81% (01:07) correct 19% (01:00) wrong based on 367 sessions

HideShow timer Statistics

Image

In the figure above, what are the coordinates of point R ?

A. (3,−5)

B. (3,−3)

C. (5,5)

D. (5,−3)

E. (5,−5)


NEW question from GMAT® Official Guide 2019


(PS02599)

Attachment:
xy.jpg
xy.jpg [ 13.82 KiB | Viewed 2370 times ]

_________________

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

Manager
Manager
User avatar
S
Joined: 10 Jun 2016
Posts: 74
Location: India
Concentration: Operations, Strategy
GMAT 1: 710 Q48 V39
GPA: 3.3
WE: Project Management (Energy and Utilities)
GMAT ToolKit User Premium Member Reviews Badge
Re: In the figure above, what are the coordinates of point R ?  [#permalink]

Show Tags

New post 21 Jun 2018, 10:01
Bunuel wrote:
Image

In the figure above, what are the coordinates of point R ?

A. (3,−5)

B. (3,−3)

C. (5,5)

D. (5,−3)

E. (5,−5)


NEW question from GMAT® Official Guide 2019


(PS02599)

Attachment:
xy.jpg



We know that -

The line through point Q (5,3) is a vertical line with undefined slope. Thus, the x co-ordinate of the point R is 5.

Given that line through origin and point R is inclined 45 degree with the x-axis and it goes from left to right (bottom to top) - thus the slope is -1. Therefore, only if y co-ordinate is -5 will the slope of line OR be -1.

Thus, answer E.
_________________

"Success is a lousy teacher. It seduces smart people to think they can't lose" - Bill Gates.

Intern
Intern
avatar
B
Joined: 08 Jul 2017
Posts: 17
Location: Greece
GPA: 3.31
Re: In the figure above, what are the coordinates of point R ?  [#permalink]

Show Tags

New post 21 Jun 2018, 10:06
2
The x-coordinate of R is positive and the y-coordinate of R is negative. So answer C is out.
The x-coordinate of R is the same with the x-coordinate of Q which is 5. So answer A and B are out.
The triangle of the 4th quartile has angles in the ratio 45:45:90 since there is a right angle at the point where the QR intersects the x-axis. So the ratio of the sides of the triangle is x:x:sqrt2*x. The x equals 5 since equals with the side PQ. But R is in the 4th quartile so we need the negative value which is -5. The coordinates of R are (5,-5)
The correct answer is E.
Intern
Intern
avatar
Joined: 29 Jul 2018
Posts: 4
Re: In the figure above, what are the coordinates of point R ?  [#permalink]

Show Tags

New post 13 Aug 2018, 07:54
Dimensions of the rectangle would be height = 3 , width = 5

We know that it's a right angle triangle 90 - 45 (given) = 45 (the unknown angle)

So since we know that lets now operate on the following sine rule :

Sine A (angle) / a (opp side length) = Sine B (angle) / b (opp side length)

Applying the above rule :

Sine 45 / 5 = Sine 45 / x
(where x is the height of right angle triangle)

After computing we get x = 5.

Now the easiest part we know that right angle triangle is on negative side of Y Axis so it's -5 and we already know X Axis which is 5.

Therefore answer is 5,-5.
Intern
Intern
avatar
B
Joined: 22 Jul 2018
Posts: 5
Re: In the figure above, what are the coordinates of point R ?  [#permalink]

Show Tags

New post 16 Aug 2018, 14:00
Since the triangle has two 45 degree angles, is that enough to let you know that the base and height will be the same (i.e., R's x-value will be the same as Q)?
Intern
Intern
avatar
Joined: 29 Jul 2018
Posts: 4
Re: In the figure above, what are the coordinates of point R ?  [#permalink]

Show Tags

New post 16 Aug 2018, 19:21
1
royharmon4 wrote:
Since the triangle has two 45 degree angles, is that enough to let you know that the base and height will be the same (i.e., R's x-value will be the same as Q)?


Yes, it's enough to let us know the height since only base length is known we compute it with that.

The Law of Sines says that in any given triangle, the ratio of any side length to the sine of its opposite angle is the same for all three sides of the triangle. This is true for any triangle.

You can use the Law of Sines if you already know

> One side and its opposite angle, and
> One or more other sides or angles

Posted from my mobile device
Senior Manager
Senior Manager
User avatar
D
Joined: 22 Feb 2018
Posts: 326
Re: In the figure above, what are the coordinates of point R ?  [#permalink]

Show Tags

New post 17 Aug 2018, 01:30
Bunuel wrote:
Image

In the figure above, what are the coordinates of point R ?

A. (3,−5)

B. (3,−3)

C. (5,5)

D. (5,−3)

E. (5,−5)


NEW question from GMAT® Official Guide 2019


(PS02599)

Attachment:
xy.jpg


OA: E
Equation of QR , \(x=5\)
Equation of OR , \(y=-x\)
The intersection point of Line QR and OR is R
Solving equation
\(x =5\) and \(y=-x\) , we get \(x=5\) and \(y =-5\)
Coordinate of R \(: (5,-5)\)
_________________

Good, good Let the kudos flow through you

Intern
Intern
avatar
B
Joined: 01 Jun 2017
Posts: 25
Re: In the figure above, what are the coordinates of point R ?  [#permalink]

Show Tags

New post 21 Aug 2018, 00:09
We know that sides in a 90-45-45 angle are in the ratio root 2:1:1. Notice the triangle is 90-45-45

From point Q(5,3) we know that the length of base of the triangle is 5. Hence the height will also be 5, while the hypotenuse will be 5root2.

Therefore, the x coordinate will be 5(base) and y coordinate will be -5( Height)

Ans- E
GMAT Club Bot
Re: In the figure above, what are the coordinates of point R ? &nbs [#permalink] 21 Aug 2018, 00:09
Display posts from previous: Sort by

In the figure above, what are the coordinates of point R ?

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

Events & Promotions

PREV
NEXT


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®.