What is the tenth digit to the right of the decimal point : GMAT Problem Solving (PS)
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

It is currently 08 Dec 2016, 23:54
GMAT Club Tests

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

What is the tenth digit to the right of the decimal point

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

Hide Tags

2 KUDOS received
Current Student
avatar
Status: Up again.
Joined: 31 Oct 2010
Posts: 541
Concentration: Strategy, Operations
GMAT 1: 710 Q48 V40
GMAT 2: 740 Q49 V42
Followers: 21

Kudos [?]: 398 [2] , given: 75

What is the tenth digit to the right of the decimal point [#permalink]

Show Tags

New post 18 Feb 2011, 02:37
2
This post received
KUDOS
7
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

47% (02:11) correct 53% (01:08) wrong based on 601 sessions

HideShow timer Statistics

What is the tenth digit to the right of the decimal point, in the decimal expansion of (1/5)^10
(A) 0
(B) 2
(C) 4
(D) 6
(E) 8
[Reveal] Spoiler: OA

_________________

My GMAT debrief: http://gmatclub.com/forum/from-620-to-710-my-gmat-journey-114437.html

8 KUDOS received
Math Forum Moderator
avatar
Joined: 20 Dec 2010
Posts: 2021
Followers: 162

Kudos [?]: 1670 [8] , given: 376

Re: Powers PS: Manhattan GMAT Challenge Problem Showdown [#permalink]

Show Tags

New post 18 Feb 2011, 03:41
8
This post received
KUDOS
7
This post was
BOOKMARKED
\((\frac{1}{5})^{10}\)

\(\frac{1}{5^{10}}\)

\(\frac{1}{(\frac{10}{2})^{10}}\)

\(\frac{2^{10}}{{10}^{10}}\)

\(\frac{1024}{{10}^{10}}\)

\(1024*10^{-10}\)

\(.0000001024\)

Tenth digit to the right of decimal is 4.

Ans: "C"
_________________

~fluke

GMAT Club Premium Membership - big benefits and savings

Manager
Manager
avatar
Joined: 14 Feb 2011
Posts: 196
Followers: 4

Kudos [?]: 124 [0], given: 3

Re: Powers PS: Manhattan GMAT Challenge Problem Showdown [#permalink]

Show Tags

New post 18 Feb 2011, 04:38
(1/5)^10 is same as (2/10)^10. 10th digit after decimal in this is same as unit's digit in 2^10
2^10 = 2^5*2^5 - 32*32 whose units digit would be 4
Manager
Manager
avatar
Joined: 08 Oct 2010
Posts: 213
Location: Uzbekistan
Schools: Johnson, Fuqua, Simon, Mendoza
WE 3: 10
Followers: 10

Kudos [?]: 642 [0], given: 974

Re: Powers PS: Manhattan GMAT Challenge Problem Showdown [#permalink]

Show Tags

New post 30 Nov 2011, 03:09
Hi fluke,

but, inasmuch as I know tenth digit to the right of the decimal point is a first number after the decimal point. Please correct if I am wrong!
Expert Post
2 KUDOS received
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 7076
Location: Pune, India
Followers: 2086

Kudos [?]: 13298 [2] , given: 222

Re: Powers PS: Manhattan GMAT Challenge Problem Showdown [#permalink]

Show Tags

New post 30 Nov 2011, 03:53
2
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
feruz77 wrote:
Hi fluke,

but, inasmuch as I know tenth digit to the right of the decimal point is a first number after the decimal point. Please correct if I am wrong!


You are talking about the 'tenths' digit which is right after the decimal point.
'The tenth digit to the right of the decimal' is the digit that appears after 9 digits to the right of the decimal point.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

2 KUDOS received
Senior Manager
Senior Manager
User avatar
Joined: 23 Oct 2010
Posts: 386
Location: Azerbaijan
Concentration: Finance
Schools: HEC '15 (A)
GMAT 1: 690 Q47 V38
Followers: 21

Kudos [?]: 316 [2] , given: 73

GMAT ToolKit User
Re: Powers PS: Manhattan GMAT Challenge Problem Showdown [#permalink]

Show Tags

New post 30 Nov 2011, 04:43
2
This post received
KUDOS
(1/5)^10 is (0.2)^10

we know that 2^5=32 .we have (2^5) *(2^5) or 32*32=1024 since we have 10 zeros , our result is
0.0000001024

so 10th digit is 4
_________________

Happy are those who dream dreams and are ready to pay the price to make them come true

I am still on all gmat forums. msg me if you want to ask me smth

Manager
Manager
avatar
Joined: 08 Oct 2010
Posts: 213
Location: Uzbekistan
Schools: Johnson, Fuqua, Simon, Mendoza
WE 3: 10
Followers: 10

Kudos [?]: 642 [0], given: 974

Re: Powers PS: Manhattan GMAT Challenge Problem Showdown [#permalink]

Show Tags

New post 30 Nov 2011, 04:52
VeritasPrepKarishma wrote:
feruz77 wrote:
Hi fluke,

but, inasmuch as I know tenth digit to the right of the decimal point is a first number after the decimal point. Please correct if I am wrong!


You are talking about the 'tenths' digit which is right after the decimal point.
'The tenth digit to the right of the decimal' is the digit that appears after 9 digits to the right of the decimal point.



Hi Karishma,

Thanks for reply. Such kind of things make GMAT very tricky. I appreciate your help.
Manager
Manager
avatar
Joined: 05 Mar 2011
Posts: 152
Followers: 0

Kudos [?]: 50 [0], given: 3

Re: Powers PS: Manhattan GMAT Challenge Problem Showdown [#permalink]

Show Tags

New post 30 Nov 2011, 22:31
I made a silly mistake...
Manager
Manager
avatar
Joined: 26 Apr 2011
Posts: 229
Followers: 2

Kudos [?]: 2 [0], given: 14

GMAT ToolKit User Reviews Badge CAT Tests
Re: Powers PS: Manhattan GMAT Challenge Problem Showdown [#permalink]

Show Tags

New post 12 Dec 2011, 22:47
Hi Karishma,
Thanks for making it clear . very confusing language.
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 12902
Followers: 562

Kudos [?]: 158 [0], given: 0

Premium Member
Re: What is the tenth digit to the right of the decimal point [#permalink]

Show Tags

New post 27 Dec 2013, 21:45
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

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 35927
Followers: 6853

Kudos [?]: 90069 [0], given: 10413

Re: What is the tenth digit to the right of the decimal point [#permalink]

Show Tags

New post 28 Dec 2013, 03:06
gmatpapa wrote:
What is the tenth digit to the right of the decimal point, in the decimal expansion of (1/5)^10
(A) 0
(B) 2
(C) 4
(D) 6
(E) 8


Similar questions to practice:
what-is-the-25th-digit-to-the-right-of-the-decimal-point-in-137220.html
what-is-the-18th-digit-to-the-right-of-the-decimal-point-142114.html
in-the-decimal-notation-of-number-2-23-3-what-is-the-thir-48012.html
if-t-1-2-9-5-3-is-expressed-as-a-terminating-decimal-ho-129447.html
if-10-4-3-456789-8-is-written-as-a-single-term-how-many-149047.html
a-bar-over-a-sequence-of-digits-in-a-decimal-indicates-that-99427.html
_________________

New to the Math Forum?
Please read this: 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

Current Student
User avatar
Joined: 06 Sep 2013
Posts: 2035
Concentration: Finance
GMAT 1: 770 Q0 V
Followers: 60

Kudos [?]: 582 [0], given: 355

GMAT ToolKit User
Re: What is the tenth digit to the right of the decimal point [#permalink]

Show Tags

New post 30 Dec 2013, 13:30
gmatpapa wrote:
What is the tenth digit to the right of the decimal point, in the decimal expansion of (1/5)^10
(A) 0
(B) 2
(C) 4
(D) 6
(E) 8


Yeah actually 1/5 = 0.2 = 2*10^-1

so 2^10 * 10^-10

2 has sequence 2,4,8,6.

Hence digit will be 4

Answer is C

Hope it helps

Cheers!
J :)
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 12902
Followers: 562

Kudos [?]: 158 [0], given: 0

Premium Member
Re: What is the tenth digit to the right of the decimal point [#permalink]

Show Tags

New post 19 Mar 2015, 05:27
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

Manager
Manager
avatar
Joined: 14 Jul 2014
Posts: 188
GMAT 1: 600 Q48 V27
Followers: 1

Kudos [?]: 8 [0], given: 110

Reviews Badge CAT Tests
Re: What is the tenth digit to the right of the decimal point [#permalink]

Show Tags

New post 26 Aug 2015, 08:07
so, this is about Tenth vs Tenths! Tricky
Re: What is the tenth digit to the right of the decimal point   [#permalink] 26 Aug 2015, 08:07
    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic If 125/999=0.125, what is the 81st digit to the right of the decimal Bunuel 4 19 Apr 2016, 23:53
4 Experts publish their posts in the topic What is the 57th digit to the right of the decimal point in the decima Bunuel 4 19 Apr 2016, 02:01
5 Experts publish their posts in the topic What is the 18th digit to the right of the decimal point Pansi 4 08 Nov 2012, 14:57
19 Experts publish their posts in the topic What is the 25th digit to the right of the decimal point in Bunuel 15 13 Aug 2012, 06:06
9 Experts publish their posts in the topic What is the 99th digit after the decimal point in the carcass 8 10 Mar 2012, 07:23
Display posts from previous: Sort by

What is the tenth digit to the right of the decimal point

  new topic 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 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®.