Find all School-related info fast with the new School-Specific MBA Forum

It is currently 24 Apr 2014, 14:42

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

What is the tenths digit in the decimal representation of a

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 17396
Followers: 2890

Kudos [?]: 18502 [0], given: 2362

GMAT Tests User CAT Tests
What is the tenths digit in the decimal representation of a [#permalink] New post 24 Sep 2012, 04:12
Expert's post
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

90% (01:44) correct 9% (00:25) wrong based on 116 sessions
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 17396
Followers: 2890

Kudos [?]: 18502 [1] , given: 2362

GMAT Tests User CAT Tests
Re: What is the tenths digit in the decimal representation of a [#permalink] New post 24 Sep 2012, 04:12
1
This post received
KUDOS
Expert's post
SOLUTION

What is the tenths digit in the decimal representation of a certain number?

(1) The number is less than 1/3.

(2) The number is greater than 1/4.

Each statement alone is clearly insufficient. When taken together we have 0.25<x<0.333.... Hence the tenths digit can be 2 (for example if x= 0.251) or 3 (for example if x=0.3). Not sufficient.

Answer: E.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

1 KUDOS received
Director
Director
Joined: 24 Aug 2009
Posts: 512
Schools: Harvard, Columbia, Stern, Booth, LSB,
Followers: 7

Kudos [?]: 325 [1] , given: 241

Re: What is the tenths digit in the decimal representation of a [#permalink] New post 24 Sep 2012, 04:28
1
This post received
KUDOS
The number is less than 1/3
(2) The number is greater than 1/4
1) Tenth digit can be 0,1,2,3 - Insufficient
2) Tenth digit can be 2,3,4,5..-Insufficient
1+2) .25<x<.333 - x can be 2,3-Insufficient
Answer E
_________________

If you like my Question/Explanation or the contribution, Kindly appreciate by pressing KUDOS.
Kudos always maximizes GMATCLUB worth
-Game Theory

If you have any question regarding my post, kindly pm me or else I won't be able to reply

Manager
Manager
Joined: 12 Mar 2012
Posts: 171
Location: India
Concentration: Technology, General Management
GMAT Date: 07-23-2012
WE: Programming (Telecommunications)
Followers: 0

Kudos [?]: 30 [0], given: 4

Re: What is the tenths digit in the decimal representation of a [#permalink] New post 24 Sep 2012, 08:28
Bunuel wrote:

What is the tenths digit in the decimal representation of a certain number?

(1) The number is less than 1/3
(2) The number is greater than 1/4



lets assume N = 0.xyz...

(1)
N < 1/3
N < 0.333333

Now, N can be 0.234 or 0.3111 or 0.121212
Basically, tenths digit can be 0 or 1 or 2 or 3
So, we cant say what would be the tenths digit
hence not sufficient.

(2)
N > 1/4
N > 0.25
Now, here digit can be 2,3,4,5,6,7,8,9
Hence this is also not sufficient

combining (1) and (2), the tenths digit can be either 2 or 3.
So, we can't answer the exact digit.

Hence E
_________________

FOCUS..this is all I need!

Ku-Do!

Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 17396
Followers: 2890

Kudos [?]: 18502 [0], given: 2362

GMAT Tests User CAT Tests
Re: What is the tenths digit in the decimal representation of a [#permalink] New post 28 Sep 2012, 04:06
Expert's post
SOLUTION

What is the tenths digit in the decimal representation of a certain number?

(1) The number is less than 1/3.

(2) The number is greater than 1/4.

Each statement alone is clearly insufficient. When taken together we have 0.25<x<0.333.... Hence the tenths digit can be 2 (for example if x= 0.251) or 3 (for example if x=0.3). Not sufficient.

Answer: E.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Moderator
Moderator
User avatar
Joined: 01 Sep 2010
Posts: 2178
Followers: 174

Kudos [?]: 1534 [0], given: 612

GMAT Tests User Premium Member
Re: What is the tenths digit in the decimal representation of a [#permalink] New post 28 Sep 2012, 06:13
Expert's post
Quote:
What is the tenths digit in the decimal representation of a certain number?

(1) The number is less than 1/3
(2) The number is greater than 1/4


1) 1/3 is 0.33 (periodic) but could be also 1/4 = 0.25 so we have a 3 and a 2 . insuff

2) the same: the number could be 1/4 or 1/5 or 1/10 . insuff

1) + 2) x is between 1/3 and 1/4 but a lot of infinite value we could find

E is the answer
_________________

KUDOS is the good manner to help the entire community.

Intern
Intern
Joined: 18 Nov 2011
Posts: 37
Concentration: Strategy, Marketing
GMAT Date: 06-18-2013
GPA: 3.98
Followers: 0

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

When to actually consider a negitive (or unspecified bounds) [#permalink] New post 21 Mar 2013, 21:32
As I am going through the OG12 and other sources, I notice the use of when to consider a negitive (or similar) inconsistent during answer explainations from the question makers.

For example, today I came across this DS question:

OG12 question 43 page 276
What is the tenths digit in the decimal representation of a certain number?

1) the number is less than 1/3
2) the number is greater than 1/4

The OA states:

1) Since the number is less than 1/3, the tenths digit can be 0,1,2, or 3; NOT sufficient
2) Since the numebr is greater than 1/4, the tenths digit can be 2,3,4, ..., 9; NOT sufficient


My contention is that the OA doesn't take into consideration negitive numbers for S1, nor numbers greater than 1 for S2. Because of this, the tens digit could be any number 0-9 for either S1 or S2. Of course, in this question it doesn't affect the outcome of the correct answer being E; but I have seen questions inconsistently consider negitives or not

Any insight as to when to ignore negitives (or other bounds like non-integer/fractions) despite the question not stating it in any manner?

Thanks
When to actually consider a negitive (or unspecified bounds)   [#permalink] 21 Mar 2013, 21:32
    Similar topics Author Replies Last post
Similar
Topics:
New posts What is the hundredths digit of the decimal z (1) The tenths dinesh8 4 07 May 2006, 17:26
New posts What is the hundreths digit of the decimal z? 1) The tenths lanter1 1 29 Jul 2007, 08:29
New posts What is the tenths digit in the decimal representation of a thinkblue 5 19 Apr 2009, 20:15
Popular new posts 11 Experts publish their posts in the topic What is the tenth digit to the right of the decimal point gmatpapa 11 18 Feb 2011, 02:37
New posts What is the tenths digit of decimal X? vidhya16 2 01 Sep 2012, 09:53
Display posts from previous: Sort by

What is the tenths digit in the decimal representation of a

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| 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®.