It is currently 21 Oct 2017, 23:47

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

Events & Promotions in June
Open Detailed Calendar

Ratio equals

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Manager
Manager
avatar
Joined: 25 May 2009
Posts: 142

Kudos [?]: 150 [0], given: 2

Concentration: Finance
GMAT Date: 12-16-2011
Ratio equals [#permalink]

Show Tags

New post 21 Jun 2009, 10:28
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Solve, what ratio with two integers is equal to the ratio \(1 + \sqrt{5}\) to \(2\)?

[Reveal] Spoiler:
I am getting 4:3 using conjugates, the actual question says 'nearly equal' and estimates that 8:5 is correct, but I believe that 4:3 is more accurate.

Kudos [?]: 150 [0], given: 2

Expert Post
GMAT Tutor
avatar
B
Joined: 24 Jun 2008
Posts: 1339

Kudos [?]: 1956 [0], given: 6

Re: Ratio equals [#permalink]

Show Tags

New post 21 Jun 2009, 11:17
I3igDmsu wrote:
Solve, what ratio with two integers is equal to the ratio \(1 + \sqrt{5}\) to \(2\)?

I am getting 4:3 using conjugates, the actual question says 'nearly equal' and estimates that 8:5 is correct, but I believe that 4:3 is more accurate.


The ratio is not exactly equal to any ratio involving integers, which is why the question asks for an approximation. Since root(5) is greater than root(4), or 2, then 1 + root(5) must be greater than 3, and the ratio in question should be slightly greater than 3 to 2. Since 4 to 3 is less than 3 to 2, it should not be the right answer.
_________________

GMAT Tutor in Toronto

If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com

Kudos [?]: 1956 [0], given: 6

Manager
Manager
avatar
Joined: 25 May 2009
Posts: 142

Kudos [?]: 150 [0], given: 2

Concentration: Finance
GMAT Date: 12-16-2011
Re: Ratio equals [#permalink]

Show Tags

New post 21 Jun 2009, 15:30
What answer are you getting if you use conjugates?

Kudos [?]: 150 [0], given: 2

Expert Post
GMAT Tutor
avatar
B
Joined: 24 Jun 2008
Posts: 1339

Kudos [?]: 1956 [0], given: 6

Re: Ratio equals [#permalink]

Show Tags

New post 21 Jun 2009, 15:46
I3igDmsu wrote:
What answer are you getting if you use conjugates?


There's no reason to use conjugates here, but if you did, you'd find:

root(5) + 1 to 2
= [root(5) + 1] * [root(5) - 1] to 2*[root(5) - 1]
= 5 - 1 to 2*root(5) - 2
= 2 to root(5) - 1

It's harder to get an estimate now than it was in the original question, which is why it doesn't make much sense to use conjugates here. Still, even with a rough estimate of root(5) here, you can see that the answer should be somewhere between 3 to 2 and 2 to 1.
_________________

GMAT Tutor in Toronto

If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com

Kudos [?]: 1956 [0], given: 6

Manager
Manager
avatar
Joined: 30 Nov 2008
Posts: 91

Kudos [?]: 28 [0], given: 0

GMAT ToolKit User
Re: Ratio equals [#permalink]

Show Tags

New post 22 Jun 2009, 14:59
How about 13 to 8

root 5 aproximately equals 2.24, so 3.25 to 2 equals 13 to 8.......

Kudos [?]: 28 [0], given: 0

Senior Manager
Senior Manager
avatar
Joined: 04 Jun 2008
Posts: 286

Kudos [?]: 155 [0], given: 15

Re: Ratio equals [#permalink]

Show Tags

New post 25 Jun 2009, 21:16
\sqrt{5} is almost equal to 2.2,
so 3.2 : 2 (multiply by 5 to get integers on both sides)
you get 16 : 10
or 8 : 5

Kudos [?]: 155 [0], given: 15

Senior Manager
Senior Manager
avatar
Joined: 23 Jun 2009
Posts: 360

Kudos [?]: 134 [0], given: 80

Location: Turkey
Schools: UPenn, UMich, HKS, UCB, Chicago
Re: Ratio equals [#permalink]

Show Tags

New post 26 Jun 2009, 01:29
As integers increase, one can find a so near ratio. root 5 is something near 2,23. So equation comes near 1,62. One can say this 81/50. That is to say, something missing in question.

Kudos [?]: 134 [0], given: 80

Intern
Intern
avatar
Joined: 05 Sep 2006
Posts: 14

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

Re: Ratio equals [#permalink]

Show Tags

New post 26 Jun 2009, 13:15
I got 13/8 as well. took underroot of 5 and added 1 and then divided by 2 =325/200 = 13/8

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

Re: Ratio equals   [#permalink] 26 Jun 2009, 13:15
Display posts from previous: Sort by

Ratio equals

  post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.