Find all School-related info fast with the new School-Specific MBA Forum

It is currently 26 Dec 2014, 11:58

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If two shapes (an equilateral triangle with all sides

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
avatar
Joined: 20 Feb 2006
Posts: 373
Followers: 1

Kudos [?]: 1 [0], given: 0

If two shapes (an equilateral triangle with all sides [#permalink] New post 21 Feb 2006, 07:39
If two shapes (an equilateral triangle with all sides labelled "T" and a square with all sides labelled "S") have the same area, what is the ratio of S:T

a) 2:3

b) 16:3

c) 4:sqrt3

d) 2:4sqrt3

e) 4:4sqrt3
Manager
Manager
avatar
Joined: 13 Dec 2005
Posts: 224
Location: Milwaukee,WI
Followers: 1

Kudos [?]: 7 [0], given: 0

 [#permalink] New post 21 Feb 2006, 08:56
area of equilateral traingle is (sqrt(3) /4 ) * T^2
area of square S * S

since both of them are equal

so S^2 /T^2 = sqrt(3) /4

so S/T = 4sqrt(3) /2

so S:T = 4sqrt(3) :2
VP
VP
avatar
Joined: 21 Sep 2003
Posts: 1069
Location: USA
Followers: 3

Kudos [?]: 34 [0], given: 0

 [#permalink] New post 21 Feb 2006, 09:14
ipc302 wrote:
so S^2 /T^2 = sqrt(3) /4

so S/T = 4sqrt(3) /2



ipc,

You are taking sqare root of sqrt(3). It cant be sqrt(3).!

I think the answers are wrong.
_________________

"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

- Bernard Edmonds

Intern
Intern
avatar
Joined: 16 Aug 2005
Posts: 37
Followers: 0

Kudos [?]: 1 [0], given: 0

 [#permalink] New post 21 Feb 2006, 09:45
I agree with IPC.
S^2/T^2=1/4*sqrt(3)
S/T=1/2*3^(1/4)
Manager
Manager
avatar
Joined: 13 Dec 2005
Posts: 224
Location: Milwaukee,WI
Followers: 1

Kudos [?]: 7 [0], given: 0

 [#permalink] New post 21 Feb 2006, 09:59
yes i took square root of sqrt(3) ,

in my answer 4sqrt(3) means 3 ^(1/4) (thats the way the options are written )

which is mathematical terms means

4th square root of 3 i.e 3 ^(1/4)

for example 4th square root of 81 is 3 (talking of positive values) .
VP
VP
avatar
Joined: 21 Sep 2003
Posts: 1069
Location: USA
Followers: 3

Kudos [?]: 34 [0], given: 0

 [#permalink] New post 21 Feb 2006, 10:55
ipc302 wrote:
yes i took square root of sqrt(3) ,

in my answer 4sqrt(3) means 3 ^(1/4) (thats the way the options are written )

which is mathematical terms means

4th square root of 3 i.e 3 ^(1/4)

for example 4th square root of 81 is 3 (talking of positive values) .


Thanks for the explanation! I didn't know the notation
4sqrt(3) = (3)^1/4

I always thought, 4sqrt(3) = 4*sqrt(3)

MBAlad,
Is this how *exactly* GMATPrep gave you the answers?
_________________

"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

- Bernard Edmonds

Manager
Manager
avatar
Joined: 16 Sep 2005
Posts: 62
Followers: 1

Kudos [?]: 2 [0], given: 0

 [#permalink] New post 21 Feb 2006, 11:30
ipc302 wrote:
yes i took square root of sqrt(3) ,

in my answer 4sqrt(3) means 3 ^(1/4) (thats the way the options are written )

which is mathematical terms means

4th square root of 3 i.e 3 ^(1/4)

for example 4th square root of 81 is 3 (talking of positive values) .


Thanks for explaining the notation. Otherwise answer choices were really confusing.
_________________

Thanks

Senior Manager
Senior Manager
avatar
Joined: 20 Feb 2006
Posts: 373
Followers: 1

Kudos [?]: 1 [0], given: 0

 [#permalink] New post 21 Feb 2006, 12:26
Thanks guys - yes, it's exactly how answers were given.

However, when you go from s^2/t^2=sqrt3/4 you obviously square root both sides - does this not make the answer s/t=3sqrt3/2 (because taking the square root of a square root make a cube root?)
Manager
Manager
avatar
Joined: 13 Dec 2005
Posts: 224
Location: Milwaukee,WI
Followers: 1

Kudos [?]: 7 [0], given: 0

 [#permalink] New post 21 Feb 2006, 13:13
No when u take sqrt of a sqrt no it becomes 4 th root

for example sqrt (sqrt (3))

first take sqrt (3) it can also be written as 3 ^ (1/2) right ?

so if u take sqrt of this number,it will be

3^(1/2) ^1/2 = 3^1/4

Now take the example of 81 .. take the sqrt of 81 its 9 .. then take the sqrt of 9 its 3

and u know 3*3*3*3 =81 ... so u r taking the 4th root of 81 ..

i hope the above ex. helps you to understand the logic.
Senior Manager
Senior Manager
avatar
Joined: 20 Feb 2006
Posts: 373
Followers: 1

Kudos [?]: 1 [0], given: 0

 [#permalink] New post 21 Feb 2006, 14:42
Thanks again IPC, as you may have realised, my core math skills are a little rusty. You're an assett!!
Senior Manager
Senior Manager
User avatar
Joined: 11 Jan 2006
Posts: 270
Location: Chennai,India
Followers: 1

Kudos [?]: 3 [0], given: 0

 [#permalink] New post 22 Feb 2006, 19:14
MBAlad wrote:
Thanks again IPC, as you may have realised, my core math skills are a little rusty. You're an assett!!


Definitely he is...
_________________

vazlkaiye porkalam vazltuthan parkanum.... porkalam maralam porkalthan maruma

  [#permalink] 22 Feb 2006, 19:14
    Similar topics Author Replies Last post
Similar
Topics:
1 If two figures, an equilateral triangle (side t) an a square Vavali 2 15 Jun 2008, 11:41
If the two regions, an equilateral triangle with side t and chica 9 09 Apr 2008, 22:44
A circle inscribed in an equilateral triangle with side apollo168 4 20 Aug 2006, 01:07
imagine a picture of an equilateral triangle with sides T consultinghokie 4 30 Apr 2006, 20:29
A circle inscribed in an equilateral triangle with side vivek123 4 31 Dec 2005, 22:18
Display posts from previous: Sort by

If two shapes (an equilateral triangle with all sides

  Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group and phpBB SEO

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®.