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

It is currently 21 Oct 2018, 10:31

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

Which of the following must be true?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Senior Manager
Senior Manager
User avatar
S
Joined: 23 Feb 2015
Posts: 425
GMAT ToolKit User
Which of the following must be true?  [#permalink]

Show Tags

New post Updated on: 29 Sep 2016, 01:23
1
1
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

62% (02:31) correct 38% (03:03) wrong based on 56 sessions

HideShow timer Statistics

Which of the following must be true?

Attachments

27.PNG
27.PNG [ 25.45 KiB | Viewed 851 times ]


_________________

“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”
― Henry Wadsworth Longfellow


Originally posted by AsadAbu on 28 Sep 2016, 14:59.
Last edited by AsadAbu on 29 Sep 2016, 01:23, edited 1 time in total.
Senior Manager
Senior Manager
User avatar
S
Joined: 23 Feb 2015
Posts: 425
GMAT ToolKit User
Re: Which of the following must be true?  [#permalink]

Show Tags

New post Updated on: 29 Sep 2016, 01:20
Hi Bunuel,
In the question, there is no indication that the ''y'' of R and the ''y'' of Q are same. So, why did we say that its correct choice is B?
Thanks Expert...
_________________

“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”
― Henry Wadsworth Longfellow


Originally posted by AsadAbu on 28 Sep 2016, 15:02.
Last edited by AsadAbu on 29 Sep 2016, 01:20, edited 1 time in total.
Current Student
avatar
B
Joined: 26 Jan 2016
Posts: 108
Location: United States
GPA: 3.37
Re: Which of the following must be true?  [#permalink]

Show Tags

New post 28 Sep 2016, 15:59
For triangle Q we know the area is 50 1/2 (b*h)=1/2(10*10)

And for triangle P I got the area was 25√3 so I'm lost how they can all be equal
Manager
Manager
avatar
Joined: 29 Aug 2008
Posts: 110
Re: Which of the following must be true?  [#permalink]

Show Tags

New post 29 Sep 2016, 00:16
Area of 1st triangle = (√3/4)*A^2 which gives us Area = 25√3

Area of 2nd triangle = (1/2)b*h = 50

We will have to calculate Y from 2nd triangle and it comes out to 5√5

Area of 3rd Triangle = (1/2)b*h, where as per figure b and h are equal to Y

So, area of 3rd Triangle = (1/2) Y * Y = (1/2) 5√5*5√5 = 125/2

So, as per my understanding it would be option B.

Pls help if its correct.
Board of Directors
User avatar
V
Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3622
Premium Member Reviews Badge
Re: Which of the following must be true?  [#permalink]

Show Tags

New post 29 Sep 2016, 01:08
iMyself : Are we sure the OA is correct? I got B as the answer.
_________________

My GMAT Story: From V21 to V40
My MBA Journey: My 10 years long MBA Dream
My Secret Hacks: Best way to use GMATClub | Importance of an Error Log!
Verbal Resources: All SC Resources at one place | All CR Resources at one place
Blog: Subscribe to Question of the Day Blog

GMAT Club Inbuilt Error Log Functionality - View More.
New Visa Forum - Ask all your Visa Related Questions - here.

New! Best Reply Functionality on GMAT Club!



Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free

Check our new About Us Page here.

Senior Manager
Senior Manager
User avatar
S
Joined: 23 Feb 2015
Posts: 425
GMAT ToolKit User
Re: Which of the following must be true?  [#permalink]

Show Tags

New post 29 Sep 2016, 01:22
abhimahna wrote:
iMyself : Are we sure the OA is correct? I got B as the answer.

I'm sorry for my mistake. I've edited it again.
_________________

“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”
― Henry Wadsworth Longfellow

Senior Manager
Senior Manager
User avatar
B
Status: Come! Fall in Love with Learning!
Joined: 05 Jan 2017
Posts: 472
Location: India
Premium Member
Re: Which of the following must be true?  [#permalink]

Show Tags

New post 28 Feb 2017, 04:29
(I) area of triangle P = √3*10*10/4 = 25√3 =25*1.73
(II) area of triangle Q = ½ *10*10 = 50 = 25*2 and y = 5√5
(III) area of triangle R = ½ *y*y = 125/2 = 25 *2.5

Therefore we can say that III>II>I . option B
_________________

GMAT Mentors
Image

GMAT Club Bot
Re: Which of the following must be true? &nbs [#permalink] 28 Feb 2017, 04:29
Display posts from previous: Sort by

Which of the following must be true?

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.