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

It is currently 10 Dec 2018, 04:00

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
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Free lesson on number properties

     December 10, 2018

     December 10, 2018

     10:00 PM PST

     11:00 PM PST

    Practice the one most important Quant section - Integer properties, and rapidly improve your skills.
  • Free GMAT Prep Hour

     December 11, 2018

     December 11, 2018

     09:00 PM EST

     10:00 PM EST

    Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.

Is the area of equilateral triangle E less than the area of square C ?

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

Hide Tags

Director
Director
User avatar
B
Status: I don't stop when I'm Tired,I stop when I'm done
Joined: 11 May 2014
Posts: 537
Location: Bangladesh
Concentration: Finance, Leadership
GPA: 2.81
WE: Business Development (Real Estate)
Is the area of equilateral triangle E less than the area of square C ?  [#permalink]

Show Tags

New post 05 Jun 2016, 13:19
1
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

65% (01:44) correct 35% (02:02) wrong based on 98 sessions

HideShow timer Statistics

Is the area of equilateral triangle E less than the area of square C ?

(1) A side of square C is \(\frac{2}{3}\) the length of a side of triangle E.

(2) The sum of the perimeters of triangle E and square C is 17

_________________

Md. Abdur Rakib

Please Press +1 Kudos,If it helps
Sentence Correction-Collection of Ron Purewal's "elliptical construction/analogies" for SC Challenges

SC Moderator
User avatar
D
Joined: 13 Apr 2015
Posts: 1687
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
GMAT ToolKit User Premium Member
Re: Is the area of equilateral triangle E less than the area of square C ?  [#permalink]

Show Tags

New post 06 Jun 2016, 02:59
Let 'l' be the length of square and 'a' be the length of equilateral triangle

St1: l = (2/3)*a
Area of equilateral triangle = (\(\sqrt{3}\)/4)*a^2 ----- (1)

Area of square = (4/9)*a^2 ----- (2)

(1)/(2) = Area of eqt. triangle/Area of square = (9*\(\sqrt{3}\))/16 = 9*(1.7)/16 = 15.3/16
Area of equilateral triangle = 0.9 * Area of square
Hence Area of equilateral triangle < Area of square
Sufficient

St2: Perimeter of triangle + Perimeter of square = 17
3a + 4l = 17 --> We have two unknowns.
If a = 1/3 and l = 4 then Area of square > Area of eqt. triangle
If l = 1/2 and a = 5 then Area of eqt. triangle > Area of square
Not Sufficient

Answer: A
BSchool Forum Moderator
User avatar
G
Joined: 07 Jan 2016
Posts: 825
Location: India
GMAT 1: 710 Q49 V36
Reviews Badge
Re: Is the area of equilateral triangle E less than the area of square C ?  [#permalink]

Show Tags

New post 23 Feb 2018, 01:30
AbdurRakib wrote:
Is the area of equilateral triangle E less than the area of square C ?

(1) A side of square C is \(\frac{2}{3}\) the length of a side of triangle E.

(2) The sum of the perimeters of triangle E and square C is 17



square's side 2/3of the equilateral triangles side

unique value obtained

ex - side of square = 2 side of triangle = 3

area of square = 4

area of equilateral triangle = rt3 /4 x 3 x 3 on calculation we can know the value

sufficient


(2) perimeter = 17

multiple solutions for perimeter possible

4a +3b = 17

no unique ans

(A) imo
Manager
Manager
avatar
B
Joined: 26 Sep 2016
Posts: 62
Is the area of equilateral triangle E less than the area of square C ?  [#permalink]

Show Tags

New post 23 Feb 2018, 15:26
If we name one side of the square c and one side of the triangle e, the square's area will be \(c^2\) and equilateral triangle's area will be \(e^2 \sqrt{3}/4\) We need to know whether the area of equilateral triangle E is less than the area of square C .

(1) A side of square C is 2/3 the length of a side of triangle E.

As we know the relationship between the sides, we can assign any numbers in this ratio as the sides of the square and triangle in our formulas for the areas of square and triangle and it will show us which one is larger. sufficient.


(2) The sum of the perimeters of triangle E and square C is 17

This statement just shows that 3e+4c=17 so e and c can take various values which would change the areas of square and triangle. Not sufficient

So the answer is A.
GMAT Club Bot
Is the area of equilateral triangle E less than the area of square C ? &nbs [#permalink] 23 Feb 2018, 15:26
Display posts from previous: Sort by

Is the area of equilateral triangle E less than the area of square C ?

  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®.