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

It is currently 15 Oct 2019, 04:26

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 computer manufacturer claims that a perfectly square computer

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

Hide Tags

Find Similar Topics 
Retired Moderator
User avatar
S
Joined: 18 Sep 2014
Posts: 1096
Location: India
GMAT ToolKit User Reviews Badge
A computer manufacturer claims that a perfectly square computer  [#permalink]

Show Tags

New post 28 Feb 2016, 01:03
7
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

66% (02:53) correct 34% (03:14) wrong based on 131 sessions

HideShow timer Statistics

A computer manufacturer claims that a perfectly square computer monitor has a diagonal size of 20 inches. However, part of the monitor is made up of a plastic frame surrounding the actual screen. The area of the screen is three times the size of that of the surrounding frame. What is the diagonal of the screen?

A. \(\sqrt{125}\)
B. \(\frac{20}{3}\)
C. \(\frac{20}{\sqrt{3}}\)
D. \(\sqrt{150}\)
E. \(\sqrt{300}\)

Caution: Don't go for finer details such as Frame thickness as it will be a waste of time and effort.
Most Helpful Expert Reply
Veritas Prep GMAT Instructor
User avatar
V
Joined: 16 Oct 2010
Posts: 9701
Location: Pune, India
Re: A computer manufacturer claims that a perfectly square computer  [#permalink]

Show Tags

New post 28 Feb 2016, 22:56
7
6
Nevernevergiveup wrote:
A computer manufacturer claims that a perfectly square computer monitor has a diagonal size of 20 inches. However, part of the monitor is made up of a plastic frame surrounding the actual screen. The area of the screen is three times the size of that of the surrounding frame. What is the diagonal of the screen?

A. \(\sqrt{125}\)
B. \(\frac{20}{3}\)
C. \(\frac{20}{\sqrt{3}}\)
D. \(\sqrt{150}\)
E. \(\sqrt{300}\)

Caution: Don't go for finer details such as Frame thickness as it will be a waste of time and effort.


Diagonal of the monitor is 20 inches so side of the square monitor is \(20/\sqrt{2}\). So area of the complete monitor is \(Side^2 = 400/2 = 200\) square inches.

Area of screen is 3 times area of frame. Total area of both together is 200. So area of screen is 150 and area of frame is 50.

Side of the screen \(= \sqrt{150}\)

Diagonal of the screen = \(Side*\sqrt{2} = \sqrt{150}*\sqrt{2} = \sqrt{300}\)

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 >
General Discussion
Manager
Manager
avatar
Joined: 25 Dec 2012
Posts: 116
Re: A computer manufacturer claims that a perfectly square computer  [#permalink]

Show Tags

New post 28 Feb 2016, 01:19
Nevernevergiveup wrote:
A computer manufacturer claims that a perfectly square computer monitor has a diagonal size of 20 inches. However, part of the monitor is made up of a plastic frame surrounding the actual screen. The area of the screen is three times the size of that of the surrounding frame. What is the diagonal of the screen?

A. 125
B. 203
C. 203
D. 150
E. 300

Caution: Don't go for finer details such as Frame thickness as it will be a waste of time and effort.


Both option B and C are same.

Here is my explanation.
Diagonal of a Square 20 inches.
A diagonal will bisect a Square into an isosceles triangle. Sides of the Isoc. triangle will be in the ratio 1:1:\sqrt{2}

From this we can conclude that the sides of the complete square including the frame is 20. Hence the area of the complete square is 400 [A^2 = 20 * 20 = 400]_

Its given the screen area is 3times that of the frame. hence Area of screen:Area of frame = 3:1
4X = 400
X = 300sq.m is the area of the Screen excluding frame.

Diagonal is \sqrt{2} times the side of the square excluding frame. Which is \sqrt{600}

Am i missing anything here??
Retired Moderator
User avatar
S
Joined: 18 Sep 2014
Posts: 1096
Location: India
GMAT ToolKit User Reviews Badge
Re: A computer manufacturer claims that a perfectly square computer  [#permalink]

Show Tags

New post 28 Feb 2016, 01:26
sowragu wrote:
Both option B and C are same.
Am i missing anything here??


Corrected the options.
Board of Directors
User avatar
P
Joined: 17 Jul 2014
Posts: 2514
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
GMAT ToolKit User Reviews Badge
A computer manufacturer claims that a perfectly square computer  [#permalink]

Show Tags

New post 09 Sep 2016, 07:28
i think technically, the question is wrongly written...when someone says that diagonal of the monitor is X, it means the diagonal of the screen. check online for all major brands by what is meant when diagonal size is given.
i understood the question wrong just because of this shift in meaning.
Board of Directors
User avatar
P
Joined: 17 Jul 2014
Posts: 2514
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
GMAT ToolKit User Reviews Badge
Re: A computer manufacturer claims that a perfectly square computer  [#permalink]

Show Tags

New post 20 Nov 2016, 11:15
I redone the question after few months...still think the question is written incorrectly.
Manager
Manager
avatar
S
Joined: 21 Jul 2014
Posts: 61
GMAT Date: 07-30-2015
Reviews Badge
A computer manufacturer claims that a perfectly square computer  [#permalink]

Show Tags

New post 17 Jan 2018, 04:58
I am confused regarding the wordings here. Could some one explain how we can use the relation stated here "area of screen is three times the size of the frame. Does it mean area of the screen is thrice than the area of frame. Confused with the word " Size". VeritasPrepKarishma
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58327
Re: A computer manufacturer claims that a perfectly square computer  [#permalink]

Show Tags

New post 17 Jan 2018, 05:12
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2817
Re: A computer manufacturer claims that a perfectly square computer  [#permalink]

Show Tags

New post 26 Feb 2018, 11:16
1
Nevernevergiveup wrote:
A computer manufacturer claims that a perfectly square computer monitor has a diagonal size of 20 inches. However, part of the monitor is made up of a plastic frame surrounding the actual screen. The area of the screen is three times the size of that of the surrounding frame. What is the diagonal of the screen?

A. \(\sqrt{125}\)
B. \(\frac{20}{3}\)
C. \(\frac{20}{\sqrt{3}}\)
D. \(\sqrt{150}\)
E. \(\sqrt{300}\)


Since the diagonal = side√2, we have:

20 = side√2

20/√2 = side

Multiplying by √2/√2, we have:

10√2 = side

If we let each side of the monitor, not counting the frame = n, then we can create the following equation:

n^2 = 3[(10√2)^2 - n^2]

n^2 = 3[200 - n^2]

n^2 = 600 - 3n^2

4n^2 = 600

n^2 = 150

n = √150

So, the diagonal of the screen is √150 x √2 = √300.

Alternate Solution:

Since the diagonal = side√2, a side of the monitor is 20/√2 = 10√2. Thus, the area of the monitor, including the screen and the surrounding frame, is (10√2)^2 = 200.

If we let A denote the area of the surrounding frame, the area of the screen is 3A and thus, the total area of the monitor is 3A + A = 4A. Since 4A = 200, we find that A = 50 and the area of the screen is 3A = 150. Then, a side of the screen is √150 = 5√6. Finally, the diagonal of the screen is (5√6) x √2 = 5√12 = √300.

Answer: E
_________________

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: 13154
Re: A computer manufacturer claims that a perfectly square computer  [#permalink]

Show Tags

New post 07 Jul 2019, 07:15
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 computer manufacturer claims that a perfectly square computer   [#permalink] 07 Jul 2019, 07:15
Display posts from previous: Sort by

A computer manufacturer claims that a perfectly square computer

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





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