Last visit was: 15 Sep 2026, 08:49 It is currently 15 Sep 2026, 08:49
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
555-605 (Medium)|   Geometry|      
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 15 Sep 2026
Posts: 113,535
Own Kudos:
841,434
 [4]
Given Kudos: 111,541
Products:
GMAT Club Tests
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 113,535
Kudos: 841,434
 [4]
In circle K shown, chords AB and CD intersect at point E within the 30 Apr 2018, 09:11
Kudos
Add Kudos
4
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

35% (medium)

Question Stats:

71% (02:00) correct 29% (02:26) wrong based on 89 sessions

History

Date
Time
Result
Not Attempted Yet

In circle K shown, chords AB and CD intersect at point E within the circle. What is the value of x?

(A) 3
(B) 5
(C) 10
(D) 21
(E) 35

Show Spoiler
Attachment:
2018-04-30_2009.png
2018-04-30_2009.png [ 25.87 KiB | Viewed 4327 times ]
ShowHide Answer
Official Answer
B
User avatar
Hero8888
User avatar
Joined: 29 Dec 2017
Last visit: 14 Apr 2019
Posts: 299
Own Kudos:
353
 [1]
Given Kudos: 273
Location: United States
Concentration: Marketing, Technology
GMAT 1: 630 Q44 V33
GMAT 2: 690 Q47 V37
GMAT 3: 710 Q50 V37
GPA: 3.25
WE:Marketing (Telecommunications)
GMAT 3: 710 Q50 V37
Posts: 299
Kudos: 353
 [1]
In circle K shown, chords AB and CD intersect at point E within the 30 Apr 2018, 09:51
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
3*(6x+5) = 5 (4x+1), x=5, Answer (C)
Attachments

1.png
1.png [ 24.97 KiB | Viewed 3999 times ]

User avatar
aggvipul
User avatar
Joined: 15 Nov 2017
Last visit: 13 Apr 2022
Posts: 226
Own Kudos:
432
 [1]
Given Kudos: 28
Status:Current Student
Concentration: Operations, Marketing
Schools: IIML-IPMX '22 (A)
WE:Operations (Retail: E-commerce)
Schools: IIML-IPMX '22 (A)
Posts: 226
Kudos: 432
 [1]
In circle K shown, chords AB and CD intersect at point E within the 30 Apr 2018, 10:03
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Bunuel

In circle K shown, chords AB and CD intersect at point E within the circle. What is the value of x?

(A) 3
(B) 5
(C) 10
(D) 21
(E) 35

Show Spoiler
Attachment:
2018-04-30_2009.png
Show more

CE*ED = AE*EB
X = 5 (option B)
avatar
zishu912
avatar
Joined: 31 Jan 2018
Last visit: 02 Nov 2019
Posts: 52
Own Kudos:
37
Given Kudos: 39
GMAT 1: 700 Q46 V40
GMAT 1: 700 Q46 V40
Posts: 52
Kudos: 37
In circle K shown, chords AB and CD intersect at point E within the 30 Apr 2018, 12:56
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

In circle K shown, chords AB and CD intersect at point E within the circle. What is the value of x?

(A) 3
(B) 5
(C) 10
(D) 21
(E) 35

Show Spoiler
Attachment:
2018-04-30_2009.png
Show more

3 * (6x+5) = 5(4x +1)
==>18x + 15 = 20x + 5
==>20x - 18x =15 -5
==>2x = 10
therefore x = 5(B)
User avatar
abhishek31
User avatar
Joined: 17 Sep 2017
Last visit: 12 Sep 2020
Posts: 72
Own Kudos:
23
Given Kudos: 59
Posts: 72
Kudos: 23
In circle K shown, chords AB and CD intersect at point E within the 14 May 2019, 10:46
Kudos
Add Kudos
Bookmarks
Bookmark this Post
hi, can anyone explain this theorem talked about?
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 15 Sep 2026
Posts: 22,740
Own Kudos:
26,982
 [2]
Given Kudos: 302
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 22,740
Kudos: 26,982
 [2]
In circle K shown, chords AB and CD intersect at point E within the 14 May 2019, 19:26
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Bunuel

In circle K shown, chords AB and CD intersect at point E within the circle. What is the value of x?

(A) 3
(B) 5
(C) 10
(D) 21
(E) 35

Show Spoiler
Attachment:
2018-04-30_2009.png
Show more

When two chords intersect in a circle, the product of the two subsegments of one chord is equal to the product of the two subsegments of the other chord. Therefore, we have:

AE * BE = CE * DE

3(6x + 5) = 5(4x + 1)

18x + 15 = 20x + 5

10 = 2x

5 = x

Answer: B
User avatar
LeoN88
User avatar
BSchool Moderator
Joined: 08 Dec 2013
Last visit: 19 Oct 2025
Posts: 681
Own Kudos:
573
Given Kudos: 227
Location: India
Concentration: Nonprofit, Sustainability
Schools: ISB '23
GMAT 1: 630 Q47 V30
WE:Operations (Non-Profit and Government)
Products:
My Reviews
Schools: ISB '23
GMAT 1: 630 Q47 V30
Posts: 681
Kudos: 573
In circle K shown, chords AB and CD intersect at point E within the 14 May 2019, 22:42
Kudos
Add Kudos
Bookmarks
Bookmark this Post
abhishek31
hi, can anyone explain this theorem talked about?
Show more


I recommend the GMAT CLUB quant PDF book for you, it has all the basic concepts.
Check page 79.

Download the book here: https://gmatclub.com/forum/gmat-math-bo ... 30609.html

Drop a kudos if this helps you.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 39,228
Own Kudos:
1,159
Posts: 39,228
Kudos: 1,159
In circle K shown, chords AB and CD intersect at point E within the 24 Aug 2023, 07:55
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderator:
Bunuel
Math Expert
113534 posts