GMAT Diagnostic Test Question 8 : Retired Discussions [Locked] - Page 2
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 08 Dec 2016, 11:57

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

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

GMAT Diagnostic Test Question 8

Author Message
Intern
Joined: 27 Feb 2010
Posts: 6
Followers: 0

Kudos [?]: 4 [0], given: 2

Re: GMAT Diagnostic Test Question 8 [#permalink]

Show Tags

01 Mar 2010, 17:00
A good way to approach this type of problems is knowing that:

XY/99= 0.XYXYXY

In this case we have that m/n=0.3636 --> we now that n has to be 99.. hence m=36.

36/99=(9*4)/(9*11) --> 4/11 then m=4!
Intern
Joined: 15 Mar 2010
Posts: 8
Followers: 1

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

Re: GMAT Diagnostic Test Question 8 [#permalink]

Show Tags

04 May 2010, 14:20
So is there a way to get 0.99999999~?
CIO
Joined: 02 Oct 2007
Posts: 1218
Followers: 94

Kudos [?]: 905 [0], given: 334

Re: GMAT Diagnostic Test Question 8 [#permalink]

Show Tags

05 May 2010, 01:22
I'm not sure if there is a simple way to obtain 0.99999999(9). $$\frac{9}{9}$$ should result in 0.9999(9), but $$\frac{9}{9}$$ = 1.
thanatoz wrote:
So is there a way to get 0.99999999~?

_________________

Welcome to GMAT Club!

Want to solve GMAT questions on the go? GMAT Club iPhone app will help.
Result correlation between real GMAT and GMAT Club Tests
Are GMAT Club Test sets ordered in any way?

Take 15 free tests with questions from GMAT Club, Knewton, Manhattan GMAT, and Veritas.

GMAT Club Premium Membership - big benefits and savings

Math Expert
Joined: 02 Sep 2009
Posts: 35913
Followers: 6853

Kudos [?]: 90055 [2] , given: 10402

Re: GMAT Diagnostic Test Question 8 [#permalink]

Show Tags

05 May 2010, 02:08
2
KUDOS
Expert's post
dzyubam wrote:
I'm not sure if there is a simple way to obtain 0.99999999(9). $$\frac{9}{9}$$ should result in 0.9999(9), but $$\frac{9}{9}$$ = 1.
thanatoz wrote:
So is there a way to get 0.99999999~?

Note: it's not tested on GMAT.

$$0.(9)=1$$ - long known mathematical equality.

Proof: $$1=3*\frac{1}{3}=3*0.(3)=0.(9)$$.
_________________
Intern
Joined: 20 Jan 2010
Posts: 17
Followers: 0

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

Re: GMAT Diagnostic Test Question 8 [#permalink]

Show Tags

18 Oct 2010, 04:18
another easy way to solve this problem and problems of this nature

0.36363636....

so the 36 part is repeating after the decimal

suppose x = 0.36363636 ....
so 100X = 36. 36363636 ....
now why did I take 100 ? because I wanted to get a string of the repeating part before the decimal

so
99 X = 36
or X = 4/11
hence m = 4
Intern
Joined: 23 Oct 2010
Posts: 31
Location: London
WE 1: Consulting - 1.5 Yrs
WE 2: IB Finance - 5 Yrs
Followers: 0

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

Re: GMAT Diagnostic Test Question 8 [#permalink]

Show Tags

19 Dec 2010, 06:19
sarodearun wrote:
This is a easier way......

consider m/n = x.

x= .36(bar)
100x = 36.36(bar)

100x-x = 36.

i.e., 99x=36

x=4/11.

The original solution is great, but if you do forget the trick, I would go with this solution for sure.
Manager
Status: MBA Aspirant
Joined: 12 Jun 2010
Posts: 178
Location: India
WE: Information Technology (Investment Banking)
Followers: 3

Kudos [?]: 76 [0], given: 1

Re: GMAT Diagnostic Test Question 8 [#permalink]

Show Tags

09 Sep 2011, 23:55
m=(0.36363636...)n
100m=(36.36363636...)n

100m-m = 36n
99m=36n -> 11m=4n

thus the smallest value of m is 4

Correct me if my approach is wrong
Manager
Joined: 25 May 2011
Posts: 156
Followers: 2

Kudos [?]: 58 [0], given: 71

Re: GMAT Diagnostic Test Question 8 [#permalink]

Show Tags

14 Sep 2011, 22:37
dzyubam wrote:
Explanation:
 Rating:

We are dealing with a repeating decimal in this question. It's helpful to know that there's a way to write these kinds of decimals as a fraction. For example, the repeating decimal 0.444444444(4) may be written as $$\frac{4}{9}$$. So, $$\frac{5}{9}$$, $$\frac{7}{9}$$ and $$\frac{8}{9}$$ will all be repeating decimals. You might check it in your calculator. In order to make two decimal points repeat, you have to divide the two digit number by 99. For example, $$\frac{23}{99} = 0.232323232323(23)$$. Similarly, $$\frac{36}{99} = \frac{4}{11} = 0.36363636(36)$$. Now it's clear that the minimum value of $$m = 4$$.

Perfect! I didn't know that
Manager
Status: MBA Aspirant
Joined: 12 Jun 2010
Posts: 178
Location: India
WE: Information Technology (Investment Banking)
Followers: 3

Kudos [?]: 76 [0], given: 1

Re: GMAT Diagnostic Test Question 8 [#permalink]

Show Tags

28 Oct 2011, 21:54
Ans is B

m=0.363636... n
100m =36.3636... n

so 99m=36n => 11m=4n

so m=>4
Manager
Joined: 02 Jun 2011
Posts: 159
Followers: 1

Kudos [?]: 72 [0], given: 11

Re: GMAT Diagnostic Test Question 8 [#permalink]

Show Tags

30 Oct 2011, 03:36
can i sum up lke this?
when singularly repeated(.44444..) some number is divided by 9, if two digit repeated(.363636...) then by 99?
same goes for 11 then?
got the answer correct by picking up but couldnt get your method
Re: GMAT Diagnostic Test Question 8   [#permalink] 30 Oct 2011, 03:36

Go to page   Previous    1   2   [ 30 posts ]

Similar topics Replies Last post
Similar
Topics:
40 GMAT Diagnostic Test Question 5 26 06 Jun 2009, 20:07
16 GMAT Diagnostic Test Question 4 37 06 Jun 2009, 20:06
23 GMAT Diagnostic Test Question 3 33 06 Jun 2009, 18:33
9 GMAT Diagnostic Test Question 2 26 06 Jun 2009, 18:03
36 GMAT Diagnostic Test Question 1 30 05 Jun 2009, 21:30
Display posts from previous: Sort by

GMAT Diagnostic Test Question 8

Moderator: Bunuel

 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®.