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

It is currently 15 Oct 2018, 05:57
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
Unanswered

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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel

What is the 99th digit after the decimal point in the

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
  Sort by Date Sort by Kudos  
Search for:
 
Print view
First unread post
Author Message
TAGS:

Hide Tags
Board of Directors
User avatar
P
Joined: 01 Sep 2010
Posts: 3355
Premium Member
Top Member of the Month
What is the 99th digit after the decimal point in the  [#permalink]

Show Tags

New post Updated on: 10 Mar 2012, 08:41
1
9
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

78% (01:38) correct 22% (01:24) wrong based on 340 sessions

HideShow timer Statistics

What is the 99th digit after the decimal point in the decimal expansion of 2/9 + 3/11?

A. 1
B. 2
C. 4
D. 7
E. 9
Spoiler: OA

_________________

COLLECTION OF QUESTIONS AND RESOURCES
Quant: 1. ALL GMATPrep questions Quant/Verbal 2. Bunuel Signature Collection - The Next Generation 3. Bunuel Signature Collection ALL-IN-ONE WITH SOLUTIONS 4. Veritas Prep Blog PDF Version 5. MGMAT Study Hall Thursdays with Ron Quant Videos
Verbal:1. Verbal question bank and directories by Carcass 2. MGMAT Study Hall Thursdays with Ron Verbal Videos 3. Critical Reasoning_Oldy but goldy question banks 4. Sentence Correction_Oldy but goldy question banks 5. Reading-comprehension_Oldy but goldy question banks


Originally posted by carcass on 10 Mar 2012, 08:23.
Last edited by Bunuel on 10 Mar 2012, 08:41, edited 1 time in total.
Added the OA
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49965
Premium Member
Top Member of the Month
Re: What is the 99th digit after the decimal point in the decim  [#permalink]

Show Tags

New post 10 Mar 2012, 08:37
2
carcass wrote:
What is the 99th digit after the decimal point in the decimal expansion of 2/9 + 3/11?

A. 1
B. 2
C. 4
D. 7
E. 9


\(\frac{2}{9} + \frac{3}{11}=\frac{22}{99} + \frac{27}{99}=\frac{49}{99}=0.494949...\). So, 99th (odd placed after the decimal) digit will be 4.

Answer: C.

For more on converting a recurring decimal to fraction check this: math-number-theory-88376.html

Hope it helps.
_________________

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

Board of Directors
User avatar
P
Joined: 01 Sep 2010
Posts: 3355
Premium Member
Top Member of the Month
Re: What is the 99th digit after the decimal point in the  [#permalink]

Show Tags

New post 10 Mar 2012, 09:54
I have not added OA because I hoped in a more long discussion. :)

Thanks
_________________

COLLECTION OF QUESTIONS AND RESOURCES
Quant: 1. ALL GMATPrep questions Quant/Verbal 2. Bunuel Signature Collection - The Next Generation 3. Bunuel Signature Collection ALL-IN-ONE WITH SOLUTIONS 4. Veritas Prep Blog PDF Version 5. MGMAT Study Hall Thursdays with Ron Quant Videos
Verbal:1. Verbal question bank and directories by Carcass 2. MGMAT Study Hall Thursdays with Ron Verbal Videos 3. Critical Reasoning_Oldy but goldy question banks 4. Sentence Correction_Oldy but goldy question banks 5. Reading-comprehension_Oldy but goldy question banks

SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1830
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: What is the 99th digit after the decimal point in the  [#permalink]

Show Tags

New post 02 Sep 2014, 23:02
2
\(\frac{2}{9} = 0.222222222...........2\)

\(\frac{3}{11}= 0.272727.............. 27\)

Addition (Does not have carries)

\(\frac{2}{9} + \frac{3}{11} = 0.4949494949....... 49\)

Odd's have 4

99th would have 4

Answer = C
_________________

Kindly press "+1 Kudos" to appreciate :)

Manager
Manager
User avatar
B
Joined: 24 Aug 2016
Posts: 68
Location: India
WE: Information Technology (Computer Software)
Re: What is the 99th digit after the decimal point in the  [#permalink]

Show Tags

New post 18 Sep 2016, 02:04
\(\frac{2}{9}\) = 0.22222.... ==> 99th digit is 2

\(\frac{3}{11}\) = 0.27272727.... ==> Every odd digit is 2. So, 99th digit will be 2.

2 +2 = 4 ( Ans C)
_________________

"If we hit that bullseye, the rest of the dominos will fall like a house of cards. Checkmate."

Director
Director
User avatar
G
Joined: 24 Nov 2015
Posts: 523
Location: United States (LA)
Reviews Badge
What is the 99th digit after the decimal point in the  [#permalink]

Show Tags

New post 18 Sep 2016, 05:23
\(\frac{2}{9}\) + \(\frac{3}{11}\) = \(\frac{49}{99}\)

\(\frac{49}{99}\) = 0.49494949..............

so the digits are getting repeated in order of two digits 49

so the 99 th digit is 4

correct answer - C
Manager
Manager
avatar
B
Joined: 02 Jan 2016
Posts: 102
Reviews Badge
Re: What is the 99th digit after the decimal point in the  [#permalink]

Show Tags

New post 25 Jan 2018, 22:55
Bunuel wrote:
carcass wrote:
What is the 99th digit after the decimal point in the decimal expansion of 2/9 + 3/11?

A. 1
B. 2
C. 4
D. 7
E. 9


\(\frac{2}{9} + \frac{3}{11}=\frac{22}{99} + \frac{27}{99}=\frac{49}{99}=0.494949...\). So, 99th (odd placed after the decimal) digit will be 4.

Answer: C.

For more on converting a recurring decimal to fraction check this: http://gmatclub.com/forum/math-number-theory-88376.html

Hope it helps.



HI what do you mean by 99th digit could you explain, I understand the theory of repeating no.'s but what do you mean by 99th Digit ?
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49965
Premium Member
Top Member of the Month
Re: What is the 99th digit after the decimal point in the  [#permalink]

Show Tags

New post 25 Jan 2018, 23:00
hero_with_1000_faces wrote:
Bunuel wrote:
carcass wrote:
What is the 99th digit after the decimal point in the decimal expansion of 2/9 + 3/11?

A. 1
B. 2
C. 4
D. 7
E. 9


\(\frac{2}{9} + \frac{3}{11}=\frac{22}{99} + \frac{27}{99}=\frac{49}{99}=0.494949...\). So, 99th (odd placed after the decimal) digit will be 4.

Answer: C.

For more on converting a recurring decimal to fraction check this: http://gmatclub.com/forum/math-number-theory-88376.html

Hope it helps.



HI what do you mean by 99th digit could you explain, I understand the theory of repeating no.'s but what do you mean by 99th Digit ?


We need 99th digit after the decimal point of 0.494949...

The first digit is 4, the second digit is 9, the third digit is 4 again, the fourth digit is 9 again, ... 99th (odd placed after the decimal) digit will be 4.
_________________

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

Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2835
Re: What is the 99th digit after the decimal point in the  [#permalink]

Show Tags

New post 29 Jan 2018, 11:05
carcass wrote:
What is the 99th digit after the decimal point in the decimal expansion of 2/9 + 3/11?

A. 1
B. 2
C. 4
D. 7
E. 9



2/9 + 3/11 = 22/99 + 27/99 = 49/99 = 0.494949….

SInce each odd-positioned digit to the right of the decimal point has a value of 4, the 99th digit is 4.

Alternate Solution:

We see that 2/9 = 0.222… and 3/11 = 0.272727…

If we add the two decimal expressions, we see that we obtain 0.494949… Since all the odd-positioned digit to the right of the decimal point has a value of of 4, the 99th digit is 4.

Answer: C
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

GMAT Club Bot
Re: What is the 99th digit after the decimal point in the &nbs [#permalink] 29 Jan 2018, 11:05
Print view
First unread post
Display posts from previous: Sort by

What is the 99th digit after the decimal point in the

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Moderators: chetan2u, VeritasKarishma, niks18, Bunuel, generis

Search for:


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®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions