It is currently 09 Dec 2018, 14:26
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.

In circle P, the two chords intersect at point X, with the l

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 5122
Followers: 76

Kudos [?]: 1018 [0], given: 4624

CAT Tests
In circle P, the two chords intersect at point X, with the l [#permalink] New post 08 Jan 2018, 15:05
Expert's post
00:00

Question Stats:

66% (00:24) correct 33% (00:55) wrong based on 9 sessions



Attachment:
chords.jpg
chords.jpg [ 14.2 KiB | Viewed 1157 times ]


In circle P, the two chords intersect at point X, with the lengths as indicated in the figure. Which could NOT be the sum of the lengths a and b , if a and b are integers?

A. 30

B. 26

C. 19

D. 16

E. 14

Kudo for the right answer and explanation.
[Reveal] Spoiler: OA

_________________

Get the 2 FREE GREPrepclub Tests

1 KUDOS received
Manager
Manager
Joined: 25 Nov 2017
Posts: 51
Followers: 0

Kudos [?]: 41 [1] , given: 5

Re: In circle P, the two chords intersect at point X, with the l [#permalink] New post 10 Jan 2018, 01:27
1
This post received
KUDOS
So according to me ( I am pretty bad at geometry) is to draw line between AD and BC and you will see two triangles that is similar triangles.
So AX/XB = DX/XC
We know that AX = 6 and XB = 8
So the ratio is 3/4 so it must follows that DX/XC must have the same !

So C.
Anyone has a better explanation?
1 KUDOS received
Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 5122
Followers: 76

Kudos [?]: 1018 [1] , given: 4624

CAT Tests
Re: In circle P, the two chords intersect at point X, with the l [#permalink] New post 10 Jan 2018, 01:53
1
This post received
KUDOS
Expert's post
OE

Quote:
When two chords intersect within a circle, the product of the segments on one chord is equal to the product of the segments on the other chord. Because the segments of the first chord are 6 and 8, the product of the lengths is 48. Thus, the product of the lengths a and b must be 48. Possible lengths are 48 and 1, 24 and 2, 16 and 3, 12 and 4, and 8 and 6, so possible values for a + b are 49, 26, 19, i6, and 14. The correct answer is choice A because 3o is not the sum of two integer factors of 48.

_________________

Get the 2 FREE GREPrepclub Tests

Re: In circle P, the two chords intersect at point X, with the l   [#permalink] 10 Jan 2018, 01:53
Display posts from previous: Sort by

In circle P, the two chords intersect at point X, with the l

  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®.