GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 13 Oct 2019, 18:13

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.

Close

Request Expert Reply

Confirm Cancel

In the figure, a, b, c, d, e, f, g, h, i, and j are chords of the circ

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58335
In the figure, a, b, c, d, e, f, g, h, i, and j are chords of the circ  [#permalink]

Show Tags

New post Updated on: 15 Jul 2019, 04:26
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

50% (02:12) correct 50% (01:37) wrong based on 44 sessions

HideShow timer Statistics

Image
In the figure, a, b, c, d, e, f, g, h, i, and j are chords of the circle. Which two chords are parallel to each other?

(A) a and f
(B) b and g
(C) c and h
(D) d and i
(E) e and j

Source: Nova GMAT
Difficulty Level: 700

Attachment:
circle.jpg
circle.jpg [ 55.23 KiB | Viewed 665 times ]

_________________

Originally posted by Bunuel on 09 Oct 2018, 23:28.
Last edited by SajjadAhmad on 15 Jul 2019, 04:26, edited 1 time in total.
Added Source
Senior PS Moderator
User avatar
D
Status: It always seems impossible until it's done.
Joined: 16 Sep 2016
Posts: 737
GMAT 1: 740 Q50 V40
GMAT 2: 770 Q51 V42
GMAT ToolKit User Reviews Badge
Re: In the figure, a, b, c, d, e, f, g, h, i, and j are chords of the circ  [#permalink]

Show Tags

New post 09 Oct 2018, 23:35
Chords e and j are parallel to each other & Option (E) is correct.

For two chords to be parallel they need to have 180 degree separation in alignment. The figure gives us the difference between two chords, so we must find the correct chords between whom a total of 180 deg separation is present.

Chord e + ( 40 + 35 + 35 + 40 + 30 ) = Chord J. In the anticlockwise direction

Chord e + 180 deg = Chord j.

Hence they are parallel and Option (E) is our choice.

Posted from my mobile device
_________________
Regards,
Gladi



“Do. Or do not. There is no try.” - Yoda (The Empire Strikes Back)
Senior Manager
Senior Manager
avatar
G
Joined: 10 Jan 2013
Posts: 294
Location: India
Concentration: General Management, Strategy
GPA: 3.95
GMAT ToolKit User Premium Member Reviews Badge
Re: In the figure, a, b, c, d, e, f, g, h, i, and j are chords of the circ  [#permalink]

Show Tags

New post 10 Oct 2018, 03:42
chetan2u sorry to bug again but your approach

Posted from my mobile device
Senior Manager
Senior Manager
User avatar
P
Joined: 03 Mar 2017
Posts: 368
Reviews Badge CAT Tests
Re: In the figure, a, b, c, d, e, f, g, h, i, and j are chords of the circ  [#permalink]

Show Tags

New post 10 Oct 2018, 22:35
VeritasKarishma Your thoughts please !!
Any quicker way to do this .
_________________
--------------------------------------------------------------------------------------------------------------------------
All the Gods, All the Heavens, and All the Hells lie within you.
Veritas Prep GMAT Instructor
User avatar
V
Joined: 16 Oct 2010
Posts: 9695
Location: Pune, India
Re: In the figure, a, b, c, d, e, f, g, h, i, and j are chords of the circ  [#permalink]

Show Tags

New post 11 Oct 2018, 02:55
Bunuel wrote:
Image
In the figure, a, b, c, d, e, f, g, h, i, and j are chords of the circle. Which two chords are parallel to each other?

(A) a and f
(B) b and g
(C) c and h
(D) d and i
(E) e and j

Attachment:
circle.jpg


When I see this figure, I don't see circles and chords - I see a polygon. Had it been about circles and chords, there would have been 1 or 2 chords. These all are making a complete polygon inscribed in the circle.
We are given exterior angles of a polygon. I know that the sum of all exterior angles will be 360.
Consider the side a. It is turned 40 degrees to get side b. Side b is turned 35 degrees to get side c and so on...
When are 2 lines parallel? When a side is eventually turned 180 degrees, it will have the same slope as before.

I notice the figures 32, 32 and 36. They are different from the rest which end in a 5 or a 0. I am thinking that if one of them is a part of my sum of 180, all 3 need to be so add up to 100. Fortunately I have a 45 degrees angle between them and a 35 degrees angle after them.
This tells me that side e is turned 180 degrees clockwise to get side j (32 + 36 + 45 + 32 + 35)

So sides e and j are parallel

Answer (E)
_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
GMAT Club Bot
Re: In the figure, a, b, c, d, e, f, g, h, i, and j are chords of the circ   [#permalink] 11 Oct 2018, 02:55
Display posts from previous: Sort by

In the figure, a, b, c, d, e, f, g, h, i, and j are chords of the circ

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





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