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

It is currently 16 Oct 2019, 14:59

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

A window is in the shape of a regular hexagon with each side of length

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

Hide Tags

Find Similar Topics 
Intern
Intern
avatar
Joined: 27 Aug 2015
Posts: 2
A window is in the shape of a regular hexagon with each side of length  [#permalink]

Show Tags

New post 22 Dec 2015, 11:59
27
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

75% (01:31) correct 25% (02:14) wrong based on 904 sessions

HideShow timer Statistics

A window is in the shape of a regular hexagon with each side of length 80 Centimeters. If a diagonal through the center of the hexagon is W centimeters long, then w =?

(A) 80
(B) 120
(C) 150
(D) 160
(E) 240
Most Helpful Expert Reply
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15262
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: A window is in the shape of a regular hexagon with each side of length  [#permalink]

Show Tags

New post 25 Dec 2015, 12:10
9
Hi kkahuja91,

I'm going to give you a couple of hints so that you can attempt this question again on your own:

1) A regular hexagon has 6 equal sides and 6 equal angles (that are all 120 degrees).
2) You can 'cut' a regular hexagon into 6 equal EQUILATERAL triangles. If you know how to calculate the height of an equilateral triangle, then you should be able to answer this question.

GMAT assassins aren't born, they're made,
Rich
_________________
Contact Rich at: Rich.C@empowergmat.com
Image


The Course Used By GMAT Club Moderators To Earn 750+

souvik101990 Score: 760 Q50 V42 ★★★★★
ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★
Most Helpful Community Reply
VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1222
A window is in the shape of a regular hexagon with each side of length  [#permalink]

Show Tags

New post 26 May 2016, 15:25
13
5
A regular hexagon consists of six identical equilateral triangles,
each of whose sides is 80 cm.
We know the triangles are equilateral because each of
the 3 diagonals that run through the center bisects the
regular hexagon's internal 120°∠ into two 60° ∠s.
Therefore, w=(2)(80)=160 cm.
Attachments

hexagon.jpg
hexagon.jpg [ 14.24 KiB | Viewed 14426 times ]

General Discussion
Current Student
avatar
B
Status: Persevere
Joined: 09 Jan 2016
Posts: 117
Location: Hong Kong
GMAT 1: 750 Q50 V41
GPA: 3.52
Reviews Badge
Re: A window is in the shape of a regular hexagon with each side of length  [#permalink]

Show Tags

New post 26 May 2016, 01:57
1
1
kkahuja91 wrote:
A window is in the shape of a regular hexagon with each side of length 80 Centimeters. If a diagonal through the center of the hexagon is W centimeters long, then w =?

(A) 80
(B) 120
(C) 150
(D) 160
(E) 240


Attachment:
Solution.png
Solution.png [ 8.02 KiB | Viewed 14572 times ]


Let us draw a regular hexagon ABCDEF, as in figure above. We need to find the length of the diagonal BE.
Given: It is a regular hexagon so, AB = BC = CD = DE = EF = AF = 80 cm and each angle is 120
Join BF and CE, making BCEF a rectangle. Angle BCE = 90
As the diagonal BE bisects angles ABC and DEF, angle CBE is 60. So, triangle BCE is a 30-60-90 triangle and the sides of this triangle is in the ratio - \(1:\sqrt{3}:2\)
Hence, BE = 160
Answer - D.
Current Student
avatar
B
Status: Persevere
Joined: 09 Jan 2016
Posts: 117
Location: Hong Kong
GMAT 1: 750 Q50 V41
GPA: 3.52
Reviews Badge
Re: A window is in the shape of a regular hexagon with each side of length  [#permalink]

Show Tags

New post 26 May 2016, 02:06
2
Dear Moderators,

The source of this question is mentioned as Manhattan GMAT. This is actually from Official Guide Quant Review 2016 (PS# 145). Request you to change it.

Thanks,
Nalin
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58381
Re: A window is in the shape of a regular hexagon with each side of length  [#permalink]

Show Tags

New post 26 May 2016, 02:14
2
Intern
Intern
User avatar
Joined: 30 Jul 2013
Posts: 7
Re: A window is in the shape of a regular hexagon with each side of length  [#permalink]

Show Tags

New post 16 Aug 2016, 06:32
Bunuel I didn't get the below part. how does diagonal BE bisects angle ABC and DEF

Quote:
diagonal BE will bisects angles ABC and DEF, angle CBE is 60.

_________________
Gmat is weird ; Verbal is Quant and Quant is verbal!!
Kudos only,if you like my approach
Intern
Intern
avatar
B
Joined: 01 Apr 2016
Posts: 2
Re: A window is in the shape of a regular hexagon with each side of length  [#permalink]

Show Tags

New post 17 Aug 2016, 21:28
kapru wrote:
I didn't get the below part. how does diagonal BE bisects angle ABC and DEF

Quote:
diagonal BE will bisects angles ABC and DEF, angle CBE is 60.


" If a diagonal through the center of the hexagon is W centimeters long" -- this part of the question tells you there's a bisecting line (i.e. it's sliced down the middle).
Because each angle of a hexagon is 120 degrees.. bisecting it results in 60 degrees on each side.
Manager
Manager
User avatar
B
Joined: 21 Jun 2017
Posts: 82
A window is in the shape of a regular hexagon with each side of length  [#permalink]

Show Tags

New post 09 Oct 2017, 12:55
kkahuja91 wrote:
A window is in the shape of a regular hexagon with each side of length 80 Centimeters. If a diagonal through the center of the hexagon is W centimeters long, then w =?

(A) 80
(B) 120
(C) 150
(D) 160
(E) 240


Triangle in the hexagon is equilateral; you know it is equilateral because the degree of one of its angles is 60; you know it is 60, because the sum degrees of a hexagon is 720; 720/6 = 120 degrees per angle in hexagon; the triangle's sides splits that 120 degree hexagon angle in half, making 60 degrees.

The triangle is equilateral; all sides equal each other. therefore, BC = AB = 80. The question asks for diagonal, meaning the line cuts all the way through the hexagon - you have to double BC.

therefore, given BC = 80, 80 x 2 = 160 cm
Answer (D) 160
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2816
Re: A window is in the shape of a regular hexagon with each side of length  [#permalink]

Show Tags

New post 12 Oct 2017, 18:09
2
kkahuja91 wrote:
A window is in the shape of a regular hexagon with each side of length 80 Centimeters. If a diagonal through the center of the hexagon is W centimeters long, then w =?

(A) 80
(B) 120
(C) 150
(D) 160
(E) 240


When the hexagon is broken up by 6 diagonals, 6 equilateral triangles are created. Since each side of the hexagon is 80 cm and the length of 1 diagonal is 2 times the length of a side of the hexagon, we have 2 x 80 = 160. Thus, w = 160.

Answer: D
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13209
Re: A window is in the shape of a regular hexagon with each side of length  [#permalink]

Show Tags

New post 18 Oct 2018, 14:16
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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.
_________________
GMAT Club Bot
Re: A window is in the shape of a regular hexagon with each side of length   [#permalink] 18 Oct 2018, 14:16
Display posts from previous: Sort by

A window is in the shape of a regular hexagon with each side of length

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





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