It is currently 21 Nov 2019, 09:07
My Tests

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.

w > 45

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 8802
Followers: 176

Kudos [?]: 2056 [0], given: 8134

CAT Tests
w > 45 [#permalink] New post 07 Dec 2017, 03:19
Expert's post
00:00

Question Stats:

56% (00:36) correct 43% (00:47) wrong based on 97 sessions
Attachment:
cg.png
cg.png [ 7.33 KiB | Viewed 3202 times ]


\(w > 45\)

Quantity A
Quantity B
m + n
2m


A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

Intern
Intern
Joined: 01 Sep 2017
Posts: 20
Followers: 0

Kudos [?]: 20 [0], given: 21

Re: w > 45 [#permalink] New post 07 Dec 2017, 15:19
Since w > 45, the slope of the line must be > 1. Hence the Y coordinate, will be greater than the X coordinate, when both are positive. Hence 2m<n+m

Another way of thinking about this is to set up an function with a positive slope.

For instance f(x)= 2x

For every positive x value one enters, y will always be greater.


EDIT: Sorry, mixed up A and B in my answer

Last edited by simon1994 on 08 Dec 2017, 05:03, edited 3 times in total.
1 KUDOS received
Manager
Manager
Joined: 03 Dec 2017
Posts: 65
Followers: 0

Kudos [?]: 16 [1] , given: 20

Re: w > 45 [#permalink] New post 07 Dec 2017, 20:31
1
This post received
KUDOS
my answer is n+m > 2m,
do anyone have an official answer, please, thank you
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 8802
Followers: 176

Kudos [?]: 2056 [0], given: 8134

CAT Tests
Re: w > 45 [#permalink] New post 08 Dec 2017, 04:02
Expert's post
Added the OA.

Please provide always the explanation. It helps the community.

Thank you
_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

Manager
Manager
Joined: 27 Feb 2017
Posts: 189
Followers: 1

Kudos [?]: 67 [0], given: 15

Re: w > 45 [#permalink] New post 18 Sep 2018, 12:08
When slope is linear, it equals 1 and divides the plane into two 45 degree angles and x=y. However, here w > 45, which means slope is more than 1 because it is more steep. In such cases, y coordinates > x coordinates.
n>m. I.E. n+m>2m

If you are good at drawing or visualization, it usually helps in GRE with coordinate geometry especially because planes are to scale.
1 KUDOS received
Supreme Moderator
Joined: 01 Nov 2017
Posts: 370
Followers: 8

Kudos [?]: 137 [1] , given: 4

Re: w > 45 [#permalink] New post 21 Oct 2018, 23:01
1
This post received
KUDOS
Expert's post
Carcass wrote:
Attachment:
The attachment cg.png is no longer available


\(w > 45\)

Quantity A
Quantity B
m + n
2m


A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.



Refer the attached figure..

At 45, \(m=n\)..
but at \(w>45\), \(n>m....n+m>m+m...n+m>2m....A>B\)
Attachments

11.png
11.png [ 5.61 KiB | Viewed 2204 times ]


_________________

Some useful Theory.
1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

1 KUDOS received
GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 2571
Followers: 91

Kudos [?]: 2746 [1] , given: 40

CAT Tests
Re: w > 45 [#permalink] New post 14 Jun 2019, 11:10
1
This post received
KUDOS
Expert's post
Carcass wrote:
Attachment:
The attachment cg.png is no longer available


\(w > 45\)

Quantity A
Quantity B
m + n
2m


Attachment:
Z5.png
Z5.png [ 18.89 KiB | Viewed 1183 times ]


To get a better idea of what's going on here, let's see what happens when the angle is EXACTLY 45 degrees
Attachment:
Z1.png
Z1.png [ 3.42 KiB | Viewed 1183 times ]

If we drop a line from a point ON the line, we see we get an ISOSCELES RIGHT triangle.


This means that, for any point ON the line, ....
Attachment:
Z2.png
Z2.png [ 4.94 KiB | Viewed 1183 times ]

....the x-coordinate and the y-coordinate will be EQUAL

So, some other points on this line will look like this:
Attachment:
Z3.png
Z3.png [ 3.89 KiB | Viewed 1184 times ]



KEY CONCEPT: If w > 45, then the line will pass through the red region
Attachment:
Z4.png
Z4.png [ 3.35 KiB | Viewed 1185 times ]


We already know that, for any point ON THE BLUE LINE, the x-coordinate and the y-coordinate will be EQUAL
If the red region lies ABOVE THE BLUE LINE, what important thing can we say about the coordinates of ANY point in the red region???

We can say that, for any point in the red region, the y-coordinate will be greater than the x-coordinate

So, if w > 45, then we know that n > m

We're now ready to answer the question...

Given:
Quantity A: m + n
Quantity B: 2m

Subtract m from both quantities to get:
Quantity A: n
Quantity B: m

Since we now know that n > m, we can see that the correct answer is A

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com
Sign up for my free GRE Question of the Day emails

Re: w > 45   [#permalink] 14 Jun 2019, 11:10
Display posts from previous: Sort by

w > 45

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.