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

It is currently 17 Aug 2019, 14:29

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

What is the tenths digit in the decimal representation of a

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 57025
What is the tenths digit in the decimal representation of a  [#permalink]

Show Tags

New post 24 Sep 2012, 05:12
3
6
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

83% (01:05) correct 17% (01:03) wrong based on 1157 sessions

HideShow timer Statistics

Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 57025
Re: What is the tenths digit in the decimal representation of a  [#permalink]

Show Tags

New post 24 Sep 2012, 05:12
7
1
General Discussion
Senior Manager
Senior Manager
avatar
B
Joined: 24 Aug 2009
Posts: 455
Schools: Harvard, Columbia, Stern, Booth, LSB,
Re: What is the tenths digit in the decimal representation of a  [#permalink]

Show Tags

New post 24 Sep 2012, 05:28
3
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
avatar
Joined: 12 Mar 2012
Posts: 99
Location: India
Concentration: Technology, General Management
GMAT Date: 07-23-2012
WE: Programming (Telecommunications)
Re: What is the tenths digit in the decimal representation of a  [#permalink]

Show Tags

New post 24 Sep 2012, 09:28
1
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!
Board of Directors
User avatar
D
Joined: 01 Sep 2010
Posts: 3446
Re: What is the tenths digit in the decimal representation of a  [#permalink]

Show Tags

New post 28 Sep 2012, 07:13
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
_________________
Intern
Intern
avatar
Joined: 18 Nov 2011
Posts: 34
Concentration: Strategy, Marketing
GMAT Date: 06-18-2013
GPA: 3.98
When to actually consider a negitive (or unspecified bounds)  [#permalink]

Show Tags

New post 21 Mar 2013, 22:32
1
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
Manager
Manager
User avatar
B
Joined: 15 Mar 2015
Posts: 109
Re: What is the tenths digit in the decimal representation of a  [#permalink]

Show Tags

New post 03 May 2015, 09:38
We are looking for the tenths digit 0.(?)... and thus we ignore the following digits (...)

(1) X <1/3.

The number is smaller than 0.33.... This allows for the number to be 3,2,1,0 (and if we allow for X to be negative it could be any number. e.g. -0.9, -0.7 etc.) Not sufficient.

(2) X > 1/4

The number is thus larger than 0.25 allowing for the digit to be of any value. As such it's not sufficient.

(1)+(2) 1/4<X<1/3.

Or 0.25<X<0.33. This means we can have either 2 or 3 as the digit in the tenths place. Not sufficient together, E.
_________________
I love being wrong. An incorrect answer offers an extraordinary opportunity to improve.
Current Student
User avatar
D
Joined: 12 Aug 2015
Posts: 2604
Schools: Boston U '20 (M)
GRE 1: Q169 V154
GMAT ToolKit User
Re: What is the tenths digit in the decimal representation of a  [#permalink]

Show Tags

New post 24 Apr 2016, 20:19
Hey chetan2u i have a question regarding this official question.
The answer is clearly E but here is my doubt=>
the official guide says that that for statement 1 the unit digits can be 0 or 1 or 2 or 3
now what if the number is -2.55 or -198.67 My point being the negative numbers are possible too but why is not GMAT offical testmakers considering them ..
Similarly for statement two the tens digits can be 8 or 1 or 3 or anything as per me.

Just lemme know if i am missing something here ?


Regards
StoneCold
_________________
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7756
Re: What is the tenths digit in the decimal representation of a  [#permalink]

Show Tags

New post 24 Apr 2016, 20:27
stonecold wrote:
Hey chetan2u i have a question regarding this official question.
The answer is clearly E but here is my doubt=>
the official guide says that that for statement 1 the unit digits can be 0 or 1 or 2 or 3
now what if the number is -2.55 or -198.67 My point being the negative numbers are possible too but why is not GMAT offical testmakers considering them ..
Similarly for statement two the tens digits can be 8 or 1 or 3 or anything as per me.

Just lemme know if i am missing something here ?


Regards
StoneCold


hi,

I would say that we consider the negative too..
the Q nowhere mentions that the number is positive..
the GMAT nowhere says a decimal cannot be negative..
so may be the explanation has missed out on these numbers as the answer does not get affected..
_________________
Manager
Manager
avatar
B
Joined: 09 Nov 2015
Posts: 59
Concentration: Strategy, Technology
WE: Information Technology (Computer Software)
GMAT ToolKit User Reviews Badge
Re: What is the tenths digit in the decimal representation of a  [#permalink]

Show Tags

New post 26 Apr 2016, 13:33
0.25 < x < 0.33
not sufficient
IMO E
Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 7367
Location: United States (CA)
Re: What is the tenths digit in the decimal representation of a  [#permalink]

Show Tags

New post 25 Aug 2016, 16:12
1
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


We need to determine the value of the tenths place of a particular number.

Statement One Alone:

The number is less than 1/3.

Since the number is less than 1/3, it is less than 0.333…. Thus, we could have values such as 0.3 (with a tenths place of 3) or 0.2 (with a tenths place of 2). Statement one is not sufficient to answer the question. We can eliminate answer choices A and D.

Statement Two Alone:

The number is greater than 1/4.

Since the number is greater than 1/4, it is greater than 0.25. Thus, we could have values such as 0.3 (with a tenths place of 3) or 0.4 (with a tenths place of 4). Statement two does not provide enough information to answer the question. We can eliminate answer choice B.

Statements One and Two Together:

From statements one and two we know that the decimal value is between 0.25 and 0.333…. We could still have decimals values with different tenths places, such as 0.28 or 0.3.

The answer is E.
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Current Student
User avatar
D
Joined: 12 Aug 2015
Posts: 2604
Schools: Boston U '20 (M)
GRE 1: Q169 V154
GMAT ToolKit User
What is the tenths digit in the decimal representation of a  [#permalink]

Show Tags

New post 25 Aug 2016, 16:53
ScottTargetTestPrep wrote:
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


We need to determine the value of the tenths place of a particular number.

Statement One Alone:

The number is less than 1/3.

Since the number is less than 1/3, it is less than 0.333…. Thus, we could have values such as 0.3 (with a tenths place of 3) or 0.2 (with a tenths place of 2). IT can be 0,1,2,3,4,5,6,7,8,9 considering the negatives Statement one is not sufficient to answer the question. We can eliminate answer choices A and D.

Statement Two Alone:

The number is greater than 1/4.

Since the number is greater than 1/4, it is greater than 0.25. Thus, we could have values such as 0.3 (with a tenths place of 3) or 0.4 (with a tenths place of 4)AGAIN IT can be 0,1,2,3,4,5,6,7,8,9 considering the negatives. Statement two does not provide enough information to answer the question. We can eliminate answer choice B.

Statements One and Two Together:

From statements one and two we know that the decimal value is between 0.25 and 0.333…. We could still have decimals values with different tenths places, such as 0.28 or 0.3.

The answer is E.


Hi Scott
Just to add to your solution =>
STATEMENT 1 AND 2 => Here the tenths digit can be 0,1,2,3,4,5,6,7,8,9
But combining 1 &2 => it can be a 2 or a 3

Regards
Stone Cold
_________________
Intern
Intern
avatar
Joined: 01 Sep 2016
Posts: 4
Re: What is the tenths digit in the decimal representation of a  [#permalink]

Show Tags

New post 21 Sep 2016, 02:53
If a question does not mention whether a number is positive or negative, do we have to always consider the positive numbers ? In which cases do we have to take the negative numbers ?

In this question...
Even if we consider the negative numbers, statement 1 won't be sufficient because the tenths digit can be 3, 2, 1, 0 and the digit on tenths place in negative numbers. So no unique solution.

The answer would still be E because when we combine both the statements the digits would overlap and we would not get a unique answer to the problem.

I hope my understanding is correct on the negative values.
Current Student
User avatar
D
Joined: 12 Aug 2015
Posts: 2604
Schools: Boston U '20 (M)
GRE 1: Q169 V154
GMAT ToolKit User
Re: What is the tenths digit in the decimal representation of a  [#permalink]

Show Tags

New post 04 Dec 2016, 04:07
Krishna2016 wrote:
If a question does not mention whether a number is positive or negative, do we have to always consider the positive numbers ? In which cases do we have to take the negative numbers ?

In this question...
Even if we consider the negative numbers, statement 1 won't be sufficient because the tenths digit can be 3, 2, 1, 0 and the digit on tenths place in negative numbers. So no unique solution.

The answer would still be E because when we combine both the statements the digits would overlap and we would not get a unique answer to the problem.

I hope my understanding is correct on the negative values.



You are correct here mate :)

Regards
Stone Cold
_________________
Intern
Intern
avatar
B
Joined: 25 Nov 2016
Posts: 20
Location: India
WE: Law (Non-Profit and Government)
Re: What is the tenths digit in the decimal representation of a  [#permalink]

Show Tags

New post 03 Aug 2017, 16:40
Hi,
Can anybody tell me what does the heading "topic statistics" under "Practice History" represent in the workbook.
Ashish
Retired Moderator
User avatar
P
Joined: 19 Mar 2014
Posts: 927
Location: India
Concentration: Finance, Entrepreneurship
GPA: 3.5
GMAT ToolKit User
Re: What is the tenths digit in the decimal representation of a  [#permalink]

Show Tags

New post 03 Aug 2017, 18:20
9994ag wrote:
Hi,
Can anybody tell me what does the heading "topic statistics" under "Practice History" represent in the workbook?
Ashish


Hi 9994ag

First of all could you please clarify what work book you are referring to?

Second, I am not sure if this is the right forum to post your question, you have posted this question under one of the DS question, I don't see any correlation between the post and the question. Request you to create a separate thread for this question.
_________________
"Nothing in this world can take the place of persistence. Talent will not: nothing is more common than unsuccessful men with talent. Genius will not; unrewarded genius is almost a proverb. Education will not: the world is full of educated derelicts. Persistence and determination alone are omnipotent."

Best AWA Template: https://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html#p470475
Intern
Intern
avatar
B
Joined: 25 Nov 2016
Posts: 20
Location: India
WE: Law (Non-Profit and Government)
Re: What is the tenths digit in the decimal representation of a  [#permalink]

Show Tags

New post 03 Aug 2017, 19:30
Hi ydmuley,
Sorry for my mistake. I am new to the club so did not know how to post this problem pertaining to workbook in the gmat club.
CEO
CEO
User avatar
V
Joined: 12 Sep 2015
Posts: 3907
Location: Canada
Re: What is the tenths digit in the decimal representation of a  [#permalink]

Show Tags

New post 10 Jan 2018, 09:11
Top Contributor
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


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

Statement 1: The number is less than 1/3
There are several values that satisfy statement 1. Here are two:
Case a: the number = 0.31, in which case the value of the tenths digit is 3.
Case b: the number = 0.298, in which case the value of the tenths digit is 2
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 1: The number is greater than 1/4
There are several values that satisfy statement 2. Here are two:
Case a: the number = 0.31, in which case the value of the tenths digit is 3.
Case b: the number = 0.298, in which case the value of the tenths digit is 2
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
IMPORTANT: Notice that I was able to use the same counter-examples to show that each statement ALONE is not sufficient. So, the same counter-examples will satisfy the two statements COMBINED.
In other words,
Case a: the number = 0.31, in which case the value of the tenths digit is 3.
Case b: the number = 0.298, in which case the value of the tenths digit is 2
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Image
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 12007
Re: What is the tenths digit in the decimal representation of a  [#permalink]

Show Tags

New post 07 Aug 2019, 01:14
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 Club Bot
Re: What is the tenths digit in the decimal representation of a   [#permalink] 07 Aug 2019, 01:14
Display posts from previous: Sort by

What is the tenths digit in the decimal representation of a

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





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne