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

It is currently 18 Dec 2018, 21:38

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
  • Happy Christmas 20% Sale! Math Revolution All-In-One Products!

     December 20, 2018

     December 20, 2018

     10:00 PM PST

     11:00 PM PST

    This is the most inexpensive and attractive price in the market. Get the course now!
  • Key Strategies to Master GMAT SC

     December 22, 2018

     December 22, 2018

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

Curly brackets {} around the last digits of a decimal fraction signify

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51285
Curly brackets {} around the last digits of a decimal fraction signify  [#permalink]

Show Tags

New post 27 Nov 2016, 00:57
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

62% (00:51) correct 38% (01:06) wrong based on 85 sessions

HideShow timer Statistics

Curly brackets {} around the last digits of a decimal fraction signify that these digits recur an infinite number of times. For example 0.1{5} is a shorthand for 0.1555555… Similarly, 0.{15} is a shorthand for 0.15151515…. 10/99 is which of the following?

A. 0.{11}
B. 0.{101}
C. 0.{10}
D. 0.{09}
E. 0.{01}

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Senior CR Moderator
User avatar
V
Status: Long way to go!
Joined: 10 Oct 2016
Posts: 1375
Location: Viet Nam
GMAT ToolKit User Premium Member
Curly brackets {} around the last digits of a decimal fraction signify  [#permalink]

Show Tags

New post 27 Nov 2016, 02:12
1
Bunuel wrote:
Curly brackets {} around the last digits of a decimal fraction signify that these digits recur an infinite number of times. For example 0.1{5} is a shorthand for 0.1555555… Similarly, 0.{15} is a shorthand for 0.15151515…. 10/99 is which of the following?

A. 0.{11}
B. 0.{101}
C. 0.{10}
D. 0.{09}
E. 0.{01}


\(10/99=0.1010101010...=0.\{10\}\)

Also, there is a way to convert recurring decimal into a fraction.

Given \(a_1,a_2,...\) are digits

\(\overline{0.\{a_1\}}=\frac{a_1}{9}\)
\(\overline{0.\{a_1 a_2\}}=\frac{\overline{a_1 a_2}}{99}\)
\(\overline{0.\{a_1 a_2 ... a_n\}}=\frac{\overline{a_1 a_2 ... a_n}}{99...9}=\frac{\overline{a_1 a_2 ... a_n}}{10^n-1}\)

For example, \(0.\{1\} = \frac{1}{9}\)
\(0.\{3\}=\frac{3}{9}=\frac{1}{3}\)
\(0.\{10\}=\frac{10}{99}\)
\(0.\{12345\}=\frac{12345}{99999}\)

\(0.\{11\}=\frac{11}{99}=\frac{1}{9}\). Actually \(0.\{11\}=0.\{1\}\)
\(0.\{101\}=\frac{101}{999}\)
\(0.\{09\}=\frac{9}{99}=\frac{1}{11}\)
\(0.\{01\}=\frac{1}{99}\)

What about the number like \(0.12\{3\}\)?

Simply, \(0.12\{3\}=10^{-2} \times 12.\{3\}=10^{-2} \times 12\frac{3}{9}=10^{-2} \times 12\frac{1}{3}=10^{-2} \times \frac{37}{3}=\frac{37}{300}\)
_________________

Actual LSAT CR bank by Broall

How to solve quadratic equations - Factor quadratic equations
Factor table with sign: The useful tool to solve polynomial inequalities
Applying AM-GM inequality into finding extreme/absolute value

New Error Log with Timer

Senior Manager
Senior Manager
avatar
Joined: 06 Jun 2016
Posts: 258
Location: India
Concentration: Operations, Strategy
Schools: ISB '18 (D)
GMAT 1: 600 Q49 V23
GMAT 2: 680 Q49 V34
GPA: 3.9
Re: Curly brackets {} around the last digits of a decimal fraction signify  [#permalink]

Show Tags

New post 27 Nov 2016, 03:28
Bunuel wrote:
Curly brackets {} around the last digits of a decimal fraction signify that these digits recur an infinite number of times. For example 0.1{5} is a shorthand for 0.1555555… Similarly, 0.{15} is a shorthand for 0.15151515…. 10/99 is which of the following?

A. 0.{11}
B. 0.{101}
C. 0.{10}
D. 0.{09}
E. 0.{01}



IMO C

0.101010=x
10.1010= 100x
99x= 10
x=10/99
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9206
Premium Member
Re: Curly brackets {} around the last digits of a decimal fraction signify  [#permalink]

Show Tags

New post 22 Feb 2018, 08:10
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: Curly brackets {} around the last digits of a decimal fraction signify &nbs [#permalink] 22 Feb 2018, 08:10
Display posts from previous: Sort by

Curly brackets {} around the last digits of a decimal fraction signify

  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®.