Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 26 May 2017, 19:48

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# What is the tenths digit in the decimal representation of a

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 38908
Followers: 7739

Kudos [?]: 106255 [0], given: 11618

What is the tenths digit in the decimal representation of a [#permalink]

### Show Tags

24 Sep 2012, 05:12
Expert's post
6
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

81% (01:49) correct 19% (00:43) wrong based on 1035 sessions

### HideShow timer Statistics

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

Practice Questions
Question: 46
Page: 279
Difficulty: 600
[Reveal] Spoiler: OA

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 38908
Followers: 7739

Kudos [?]: 106255 [2] , given: 11618

Re: What is the tenths digit in the decimal representation of a [#permalink]

### Show Tags

24 Sep 2012, 05:12
2
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.

_________________
Director
Joined: 24 Aug 2009
Posts: 504
Schools: Harvard, Columbia, Stern, Booth, LSB,
Followers: 19

Kudos [?]: 735 [1] , given: 276

Re: What is the tenths digit in the decimal representation of a [#permalink]

### Show Tags

24 Sep 2012, 05:28
1
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
_________________

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
Joined: 12 Mar 2012
Posts: 167
Location: India
Concentration: Technology, General Management
GMAT Date: 07-23-2012
WE: Programming (Telecommunications)
Followers: 0

Kudos [?]: 56 [0], given: 4

Re: What is the tenths digit in the decimal representation of a [#permalink]

### Show Tags

24 Sep 2012, 09:28
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
Joined: 02 Sep 2009
Posts: 38908
Followers: 7739

Kudos [?]: 106255 [0], given: 11618

Re: What is the tenths digit in the decimal representation of a [#permalink]

### Show Tags

28 Sep 2012, 05:06
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.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
_________________
Moderator
Joined: 01 Sep 2010
Posts: 3175
Followers: 858

Kudos [?]: 7316 [0], given: 1065

Re: What is the tenths digit in the decimal representation of a [#permalink]

### Show Tags

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

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

Kudos [?]: 13 [0], given: 0

When to actually consider a negitive (or unspecified bounds) [#permalink]

### Show Tags

21 Mar 2013, 22:32
1
This post was
BOOKMARKED
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
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15472
Followers: 649

Kudos [?]: 209 [0], given: 0

Re: What is the tenths digit in the decimal representation of a [#permalink]

### Show Tags

02 May 2015, 04:45
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.
_________________
Manager
Joined: 15 Mar 2015
Posts: 105
Followers: 2

Kudos [?]: 23 [0], given: 7

Re: What is the tenths digit in the decimal representation of a [#permalink]

### Show Tags

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.

BSchool Forum Moderator
Joined: 12 Aug 2015
Posts: 2136
Followers: 73

Kudos [?]: 613 [0], given: 553

Re: What is the tenths digit in the decimal representation of a [#permalink]

### Show Tags

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
_________________

Give me a hell yeah ...!!!!!

Verbal Forum Moderator
Joined: 02 Aug 2009
Posts: 4514
Followers: 394

Kudos [?]: 4200 [0], given: 109

Re: What is the tenths digit in the decimal representation of a [#permalink]

### Show Tags

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..
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Manager
Joined: 09 Nov 2015
Posts: 80
Concentration: Strategy, Technology
WE: Information Technology (Computer Software)
Followers: 0

Kudos [?]: 12 [0], given: 45

Re: What is the tenths digit in the decimal representation of a [#permalink]

### Show Tags

26 Apr 2016, 13:33
0.25 < x < 0.33
not sufficient
IMO E
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1027
Location: United States (CA)
Followers: 34

Kudos [?]: 540 [1] , given: 2

Re: What is the tenths digit in the decimal representation of a [#permalink]

### Show Tags

25 Aug 2016, 16:12
1
KUDOS
Expert's post
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.

_________________

Scott Woodbury-Stewart
Founder and CEO

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

BSchool Forum Moderator
Joined: 12 Aug 2015
Posts: 2136
Followers: 73

Kudos [?]: 613 [0], given: 553

What is the tenths digit in the decimal representation of a [#permalink]

### Show Tags

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.

Hi Scott
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
_________________

Give me a hell yeah ...!!!!!

Intern
Joined: 01 Sep 2016
Posts: 4
Followers: 0

Kudos [?]: 5 [0], given: 12

Re: What is the tenths digit in the decimal representation of a [#permalink]

### Show Tags

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.
BSchool Forum Moderator
Joined: 12 Aug 2015
Posts: 2136
Followers: 73

Kudos [?]: 613 [0], given: 553

Re: What is the tenths digit in the decimal representation of a [#permalink]

### Show Tags

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
_________________

Give me a hell yeah ...!!!!!

Re: What is the tenths digit in the decimal representation of a   [#permalink] 04 Dec 2016, 04:07
Similar topics Replies Last post
Similar
Topics:
2 What is the hundredths digit in the decimal representation of a certai 1 08 Mar 2017, 12:11
what is the tenths digit in decimal representation of x 1 12 Feb 2017, 08:00
4 If 2.5 < x < 4.5, is the tenths digit of the decimal representation of 2 29 Sep 2016, 06:50
What is the tenths digit of decimal X? 2 01 Sep 2012, 11:28
3 What is the tenths digit in the decimal representation of a 7 03 May 2014, 04:54
Display posts from previous: Sort by