What is the tens digit of positive integer x ? : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 23 Jan 2017, 12:23

### 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 tens digit of positive integer x ?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 36618
Followers: 7099

Kudos [?]: 93555 [0], given: 10578

What is the tens digit of positive integer x ? [#permalink]

### Show Tags

08 Oct 2012, 01:51
Expert's post
13
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

72% (01:54) correct 28% (01:10) wrong based on 1016 sessions

### HideShow timer Statistics

What is the tens digit of positive integer x ?

(1) x divided by 100 has a remainder of 30.
(2) x divided by 110 has a remainder of 30.

Practice Questions
Question: 58
Page: 280
Difficulty: 600
[Reveal] Spoiler: OA

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 36618
Followers: 7099

Kudos [?]: 93555 [3] , given: 10578

Re: What is the tens digit of positive integer x ? [#permalink]

### Show Tags

08 Oct 2012, 01:51
3
KUDOS
Expert's post
8
This post was
BOOKMARKED
SOLUTION

What is the tens digit of positive integer x ?

(1) x divided by 100 has a remainder of 30 --> $$x=100q+30$$, so $$x$$ can be: 30, 130, 230, ... Each has the tens digit of 3. Sufficient.

(2) x divided by 110 has a remainder of 30 --> $$x=110p+30$$, so $$x$$ can be: 30, 250, ... We already have two values for the tens digit. Not sufficient.

_________________
Senior Manager
Joined: 15 Jun 2010
Posts: 368
Schools: IE'14, ISB'14, Kellogg'15
WE 1: 7 Yrs in Automobile (Commercial Vehicle industry)
Followers: 11

Kudos [?]: 369 [3] , given: 50

Re: What is the tens digit of positive integer x ? [#permalink]

### Show Tags

08 Oct 2012, 01:58
3
KUDOS
St 1: Sufficient: X should be number such as 130, 230, 330, 430.... In all case if we divide X by 100 the remainder is 30. so the tens digit is 3
St 2: Insufficient: Let say X be 140 : In this case the remainder is 30 when divided by 110, So tens digit is 4
Let say X be 250: In this case the remainder is 30 when divided by 110, So tens digit is 5.

_________________

Regards
SD
-----------------------------
Press Kudos if you like my post.
Debrief 610-540-580-710(Long Journey): http://gmatclub.com/forum/from-600-540-580-710-finally-achieved-in-4th-attempt-142456.html

Director
Joined: 24 Aug 2009
Posts: 507
Schools: Harvard, Columbia, Stern, Booth, LSB,
Followers: 17

Kudos [?]: 679 [2] , given: 276

Re: What is the tens digit of positive integer x ? [#permalink]

### Show Tags

08 Oct 2012, 02:32
2
KUDOS
The best way to solve this question is to use equation rather than getting stuck in remainder part
1) x = 100a+30 , where a is non-negative integer.
Thus x can take following values 30,130,230,330....etc
So the ten's digit always will be 3
Sufficient
2) x = 110a+30 , where a is non-negative integer.
Thus x can take following values 30,140,250,380....etc
So the ten's digit in not unique
In-Sufficient
_________________

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

Senior Manager
Joined: 31 Oct 2011
Posts: 484
Schools: Johnson '16 (M)
GMAT 1: 690 Q45 V40
WE: Asset Management (Mutual Funds and Brokerage)
Followers: 38

Kudos [?]: 217 [1] , given: 57

Re: What is the tens digit of positive integer x ? [#permalink]

### Show Tags

08 Oct 2012, 03:44
1
KUDOS
1) The number x can be written as 100 * d + 30. No matter what the d value is, the ten's digit will always be 3 Sufficient

2) The number x can be written as 110 * d + 30. Take d = 1 then x = 140. Take d = 2 then the x = 250. Insufficent

Solution: A
_________________

My Applicant Blog: http://hamm0.wordpress.com/

Director
Status: Final Countdown
Joined: 17 Mar 2010
Posts: 563
Location: India
GPA: 3.82
WE: Account Management (Retail Banking)
Followers: 17

Kudos [?]: 278 [2] , given: 75

Re: What is the tens digit of positive integer x ? [#permalink]

### Show Tags

11 Oct 2012, 12:47
2
KUDOS
What is the tens digit of positive integer x ?

(1) x divided by 100 has a remainder of 30.
Means, x=100n+30 ; n=1,2,3...
x can be 130,230,330-in all cases tens place is held by 3- sufficient

(2) x divided by 110 has a remainder of 30.
Means, x=110n+30 ; n =1,2,3...
x can be 110,220,330- the tens place is changing with changing value of n - insufficient

_________________

" Make more efforts "
Press Kudos if you liked my post

Math Expert
Joined: 02 Sep 2009
Posts: 36618
Followers: 7099

Kudos [?]: 93555 [0], given: 10578

Re: What is the tens digit of positive integer x ? [#permalink]

### Show Tags

11 Oct 2012, 13:14
SOLUTION

What is the tens digit of positive integer x ?

(1) x divided by 100 has a remainder of 30 --> $$x=100q+30$$, so $$x$$ can be: 30, 130, 230, ... Each has the tens digit of 3. Sufficient.
(2) x divided by 110 has a remainder of 30 --> $$x=110p+30$$, so $$x$$ can be: 30, 250, ... We already have two values for the tens digit. Not sufficient.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
_________________
Moderator
Joined: 01 Sep 2010
Posts: 3095
Followers: 787

Kudos [?]: 6564 [0], given: 1014

Re: What is the tens digit of positive integer x ? [#permalink]

### Show Tags

11 Oct 2012, 17:29
Bunuel wrote:
SOLUTION

What is the tens digit of positive integer x ?

(1) x divided by 100 has a remainder of 30 --> $$x=100q+30$$, so $$x$$ can be: 30, 130, 230, ... Each has the tens digit of 3. Sufficient.
(2) x divided by 110 has a remainder of 30 --> $$x=110p+30$$, so $$x$$ can be: 30, 250, ... We already have two values for the tens digit. Not sufficient.

Even picking numbers approach work fast here (may be not as your and I thought too)

1) 230 / 100 = 3 10th digit idem for 1530 / 100

2) 250 / 110 = 5 and 470 / 110 = 7

A wins
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 36618
Followers: 7099

Kudos [?]: 93555 [0], given: 10578

Re: What is the tens digit of positive integer x ? [#permalink]

### Show Tags

31 Aug 2013, 05:29
Bumping for review and further discussion.
_________________
Manager
Joined: 18 May 2014
Posts: 63
Location: United States
Concentration: General Management, Other
GMAT Date: 07-31-2014
GPA: 3.99
WE: Analyst (Consulting)
Followers: 0

Kudos [?]: 12 [1] , given: 6

Re: What is the tens digit of positive integer x ? [#permalink]

### Show Tags

18 May 2014, 10:09
1
KUDOS
1 ---- the number x can be written as 100 * d + 30.. no matter what the d value is, the ten's digit will always be 3 --- 1 is sufficient

2 ---- 110 * d + 30... take d = 1 then x = 140 .. take d = 2 then x value is 250.. Ten's digit changed.. so 2 is not sufficent

hence A
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13521
Followers: 577

Kudos [?]: 163 [0], given: 0

Re: What is the tens digit of positive integer x ? [#permalink]

### Show Tags

26 Aug 2015, 02:12
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 Legend
Joined: 09 Sep 2013
Posts: 13521
Followers: 577

Kudos [?]: 163 [0], given: 0

Re: What is the tens digit of positive integer x ? [#permalink]

### Show Tags

10 Nov 2016, 23:04
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.
_________________
Re: What is the tens digit of positive integer x ?   [#permalink] 10 Nov 2016, 23:04
Similar topics Replies Last post
Similar
Topics:
9 What is the tens digit of positive integer x ? 5 19 Mar 2012, 09:59
1 What is the tens digit of positive integer x? 4 29 Jul 2011, 19:54
9 If n is a positive integer, what is the tens digit of n ? 10 10 Jun 2011, 23:47
2 If n is a positive integer, what is the tens digit of n ? 4 25 Feb 2011, 04:12
59 What is the tens digit of the positive integer r? 25 23 Sep 2010, 11:11
Display posts from previous: Sort by