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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

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

Show Tags

08 Oct 2012, 02:51

3

This post received KUDOS

Expert's post

5

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.

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

Show Tags

08 Oct 2012, 02:58

3

This post received 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.

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

Show Tags

08 Oct 2012, 03:32

2

This post received 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 Answer A _________________

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

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

Show Tags

11 Oct 2012, 13:47

2

This post received 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

Answer : A _________________

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

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

Show Tags

11 Oct 2012, 14:14

Expert's post

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.

Answer: A.

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

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

Show Tags

11 Oct 2012, 18:29

Expert's post

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.

Answer: A.

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

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

Show Tags

26 Aug 2015, 03:12

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. _________________

So, my final tally is in. I applied to three b schools in total this season: INSEAD – admitted MIT Sloan – admitted Wharton – waitlisted and dinged No...

HBS alum talks about effective altruism and founding and ultimately closing MBAs Across America at TED: Casey Gerald speaks at TED2016 – Dream, February 15-19, 2016, Vancouver Convention Center...

By Libby Koerbel Engaging a room of more than 100 people for two straight hours is no easy task, but the Women’s Business Association (WBA), Professor Victoria Medvec...