Last visit was: 22 Dec 2024, 11:32 It is currently 22 Dec 2024, 11:32
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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 GRE 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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

GRE Math Challenge #136 - XQY and ZYR are equilateral triang

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
sandy
Retired Moderator
Joined: 07 Jun 2014
Posts: 4815
Own Kudos [?]: 11267 [11]
Given Kudos: 0
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Send PM
GRE Math Challenge #136 - XQY and ZYR are equilateral triang [#permalink] New post   Updated on: 20 Feb 2020, 16:20
3
Expert Reply
8
Bookmarks
00:00

Question Stats:

72% (01:48) correct 27% (01:39) wrong based on 206 sessions

Hide Show timer Statistics

Image

XQY and ZYR are equilateral triangles, and the ratio of ZR to PR is 1 to 4.

Quantity A
Quantity B
The perimeter of △XQY
The perimeter of parallelogram PXYZ


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.

Show: ::
Attachment:
Quant8.jpg
Quant8.jpg [ 8.33 KiB | Viewed 13869 times ]
ShowHide Answer
Official Answer
A

Originally posted by sandy on 15 May 2015, 11:38.
Last edited by Carcass on 20 Feb 2020, 16:20, edited 4 times in total.
Updated
avatar
greMS15
Manager
Manager
Joined: 21 Oct 2015
Posts: 64
Own Kudos [?]: 48 [0]
Given Kudos: 0
Send PM
Re: GRE Math Challenge #136- Geometry of Triangle [#permalink] New post   25 Nov 2015, 13:31
1
i got the answer A . what is the correct answer ? it says E which is incorrect
avatar
halailesh
Intern
Intern
Joined: 01 Sep 2015
Posts: 2
Own Kudos [?]: 0 [0]
Given Kudos: 0
Send PM
Re: GRE Math Challenge #136- Geometry of Triangle [#permalink] New post   28 Nov 2015, 12:36
what is the answer and how did u get?
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30461
Own Kudos [?]: 36818 [0]
Given Kudos: 26100
Send PM
Re: GRE Math Challenge #136- Geometry of Triangle [#permalink] New post   29 Nov 2015, 05:19
Expert Reply
If the triangle ZRY and XQY are equilater and in the ration 1:4 we can conclude that YR is 2 for instance and XQ is 6.

As such, PX is 2 and XQ is 6. the perimeter XQY is 18. ZR is 2 and its perimeter is 6.

PZ is 6, YZ is 2, so the perimeter PXYZ is 16

The quantity A is greater. So the answer is A
avatar
priyanka67
Intern
Intern
Joined: 22 Apr 2019
Posts: 9
Own Kudos [?]: 2 [0]
Given Kudos: 0
Send PM
Re: GRE Math Challenge #136 - XQY and ZYR are equilateral triang [#permalink] New post   09 Jun 2019, 13:16
could you give another explanation ?
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30461
Own Kudos [?]: 36818 [0]
Given Kudos: 26100
Send PM
Re: GRE Math Challenge #136 - XQY and ZYR are equilateral triang [#permalink] New post   09 Jun 2019, 13:43
1
Expert Reply
Attachment:
#GREpracticequestion XQY and ZYR are equilateral triang.png
#GREpracticequestion XQY and ZYR are equilateral triang.png [ 46.84 KiB | Viewed 8855 times ]


Hope this helps
avatar
GREsucks
Intern
Intern
Joined: 24 May 2019
Posts: 28
Own Kudos [?]: 39 [2]
Given Kudos: 0
Send PM
Re: GRE Math Challenge #136 - XQY and ZYR are equilateral triang [#permalink] New post   12 Jun 2019, 22:24
2
sandy wrote:
Image

XQY and ZYR are equilateral triangles, and the ratio of ZR to PR is 1 to 4.

Quantity A: The perimeter of △XQY
Quantity B: The perimeter of parallelogram PXYZ

• Quantity A is greater.
• Quantity B is greater.
• Both Quantities are Equal
• Cannot be determined


Show: ::
Attachment:
Quant8.jpg


-------------CONCEPT----------
Let ZR = x, so PR = 4x & PZ = 3x
Hence XY = 3x as well (parallelogram's opposite sides).

Now Perimeter of triangle XQY = 3*3x = 9x
Perimeter of Parallelogram PXYZ = x + 3x + x + 3x = 8x

Hence A (perimeter of triangle) is bigger
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12234 [0]
Given Kudos: 136
Send PM

Top Member of the Month
Re: GRE Math Challenge #136 - XQY and ZYR are equilateral triang [#permalink] New post   04 Sep 2019, 15:14
1
sandy wrote:
Image

XQY and ZYR are equilateral triangles, and the ratio of ZR to PR is 1 to 4.

Quantity A
Quantity B
The perimeter of △XQY
The perimeter of parallelogram PXYZ



Show: ::
Attachment:
Quant8.jpg


GIVEN: the ratio of ZR to PR is 1 to 4.

If we let ZR have length 1, then PR must have length 4, which means PZ = 3
Image



If ZR = 1, and ZYR is an equilateral triangle, we know that all 3 sides have length 1
Image



If PZ = 3, and PXYZ is a parallelogram, we know that side XY = 3 (opposite sides of a parallelogram have equal lengths.
Likewise, since YZ = 1, we know that XP = 1
Finally, since XQY is an equilateral triangle, QY = 3 and QX = 3
Image



So, the perimeter of △XQY = 3 + 3 + 3 = 9
Image



And the perimeter of parallelogram PXYZ = 3 + 1 + 3 + 1 = 8
Image

We get:
QUANTITY A: 9
QUANTITY B: 8

Answer: A

Cheers,
Brent
avatar
vidhikakani
Intern
Intern
Joined: 28 Aug 2019
Posts: 40
Own Kudos [?]: 19 [0]
Given Kudos: 0
Send PM
Re: GRE Math Challenge #136 - XQY and ZYR are equilateral triang [#permalink] New post   06 Sep 2019, 20:39
1
If the triangle ZRY and XQY are equilater and in the ration 1:4 we can conclude that YR is 2 for instance and XQ is 6.

As such, PX is 2 and XQ is 6. the perimeter XQY is 18. ZR is 2 and its perimeter is 6.

PZ is 6, YZ is 2, so the perimeter PXYZ is 16

The quantity A is greater. So the answer is A
_________________
avatar
chacinluis
Manager
Manager
Joined: 22 Jan 2020
Posts: 120
Own Kudos [?]: 241 [0]
Given Kudos: 10
Send PM
Re: GRE Math Challenge #136 - XQY and ZYR are equilateral triang [#permalink] New post   18 Aug 2020, 13:14
Carcass wrote:
Attachment:
#GREpracticequestion XQY and ZYR are equilateral triang.png


Hope this helps




Not quite the right picture b/c your ZR/PR = 1/5 and not 1/4
User avatar
bumpbot
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5088
Own Kudos [?]: 76 [0]
Given Kudos: 0
Send PM
Re: GRE Math Challenge #136 - XQY and ZYR are equilateral triang [#permalink] New post   03 Jul 2024, 05:57
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep 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.
Prep Club for GRE Bot
gmatclubot
Re: GRE Math Challenge #136 - XQY and ZYR are equilateral triang [#permalink]
03 Jul 2024, 05:57
Moderators:
adewale223
GRE Instructor
88 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1115 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact