It is currently 18 Dec 2018, 15:30
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.

The area of region ABCD

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 5204
Followers: 77

Kudos [?]: 1051 [0], given: 4710

CAT Tests
The area of region ABCD [#permalink] New post 15 Dec 2016, 02:23
Expert's post
00:00

Question Stats:

72% (00:39) correct 27% (00:03) wrong based on 11 sessions
Image

ABCD is a parallelogram

Quantity A
Quantity B
The area of the region ABCD
24


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

_________________

Get the 2 FREE GREPrepclub Tests

2 KUDOS received
GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 1253
Followers: 47

Kudos [?]: 1159 [2] , given: 7

Re: The area of region ABCD [#permalink] New post 29 Dec 2016, 13:45
2
This post received
KUDOS
Expert's post
Carcass wrote:
Image

ABCD is a parallelogram

Quantity A
Quantity B
The area of the region ABCD
24



First notice that IF a RECTANGLE had lengths the same as the parallelogram...
Image
...then the area of that rectangle would be 24 (since area = base x height = 4x6 = 24)


However, the given quadrilateral is NOT a rectangle.
Instead, the rectangle has been "pushed" over.
Image

Notice that if we "push" the rectangle far enough, then its measurements will be the same as in the given diagram/
Image

Most importantly, the height is now less than 6
The area of a parallelogram = base x height
So, the area = 4 x (some number that's less than 6) = some value that's less than 24

ASIDE: We need not find the actual height of the parallelogram; we need only recognize that it will be less than 6.

We have:
Quantity A: some value that's less than 24
Quantity B: 24

Answer: B
_________________

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

GRE Forum Moderator
Joined: 29 May 2018
Posts: 123
Followers: 0

Kudos [?]: 78 [0], given: 3

CAT Tests
Re: The area of region ABCD [#permalink] New post 03 Dec 2018, 20:45
Carcass..if not above logic , what could be the other solution.
Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 5204
Followers: 77

Kudos [?]: 1051 [0], given: 4710

CAT Tests
Re: The area of region ABCD [#permalink] New post 05 Dec 2018, 13:41
Expert's post
Sorry, In this particular case your geometry notions applied to the figure would lead to the right answer pretty fast.

I do not see any other strategy such as picking numbers, not here at least.

Regards
_________________

Get the 2 FREE GREPrepclub Tests

Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 5204
Followers: 77

Kudos [?]: 1051 [0], given: 4710

CAT Tests
Re: The area of region ABCD [#permalink] New post 05 Dec 2018, 13:43
Expert's post
Sorry, In this particular case your geometry notions applied to the figure would lead to the right answer pretty fast.

I do not see any other strategy such as picking numbers, not here at least.

Regards
_________________

Get the 2 FREE GREPrepclub Tests

Supreme Moderator
Joined: 01 Nov 2017
Posts: 221
Followers: 3

Kudos [?]: 76 [0], given: 1

CAT Tests
Re: The area of region ABCD [#permalink] New post 05 Dec 2018, 19:54
Expert's post
msk0657 wrote:
Carcass..if not above logic , what could be the other solution.


see what can be the area of the given parallelogram..
The area of a parallelogram is Base * Height.
Base is 4 and height is a, which will be less than 6 as 6 is the hypotenuse and thus he largest side of right angled triangle.
therefore area will be < 4*6 or <24.
hence B>A.

B
Attachments

001.png
001.png [ 44.36 KiB | Viewed 205 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

Intern
Intern
Joined: 05 Dec 2018
Posts: 9
Followers: 0

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

Re: The area of region ABCD [#permalink] New post 06 Dec 2018, 01:13
It's quite simple.
The area of a parallelogram will be 6x4xSin125. That's 24Sin125. The value of Sin125 should be less than 1. That will reduce the area below 24. So 24 is more than 24 Sin125.
It's B
Re: The area of region ABCD   [#permalink] 06 Dec 2018, 01:13
Display posts from previous: Sort by

The area of region ABCD

  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®.