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

It is currently 20 Oct 2018, 18:47

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

The number 23A4534A01 is divisible by 11. How many values

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

Hide Tags

Intern
Intern
avatar
Joined: 12 May 2012
Posts: 19
Location: United States
Concentration: Technology, Human Resources
The number 23A4534A01 is divisible by 11. How many values  [#permalink]

Show Tags

New post Updated on: 31 Aug 2013, 06:26
1
5
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

57% (01:31) correct 43% (01:50) wrong based on 214 sessions

HideShow timer Statistics

The number 23A4534A01 is divisible by 11. How many values can “A” be substituted with?

A. 1
B. 4
C. 9
D. 10
E. Infinite

Originally posted by sarb on 08 Jun 2012, 09:19.
Last edited by Bunuel on 31 Aug 2013, 06:26, edited 2 times in total.
EDITED THE QUESTION
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50007
Re: The number 23A4534A01 is divisible by 11. How many values  [#permalink]

Show Tags

New post 08 Jun 2012, 10:13
6
2
sarb wrote:
The number 23A4534A01 is divisible by 11. How many values can “A” be substituted with?

A. 1
B. 4
C. 9
D. 10
E. Infinite


We want 2,3A4,534,A01 to be divisible by 11.

In order a number to be divisible by 11 the difference between the sum of the odd numbered digits (1st, 3rd, 5th...) and the sum of the even numbered digits (2nd, 4th...) must be divisible by 11.

The difference is: (2+A+5+4+0)-(3+4+3+A+1)=0. Now, since 0 is divisible by 11 then 2,3A4,534,A01 will be divisible by 11 irrespective of the value of A, so A can take all 10 values from 0 to 9, inclusive.

Answer: D.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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?
Extra-hard Quant Tests with Brilliant Analytics

General Discussion
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50007
Re: The number 23A4534A01 is divisible by 11. How many values  [#permalink]

Show Tags

New post 31 Aug 2013, 06:26
Manager
Manager
avatar
S
Joined: 18 May 2016
Posts: 182
Location: India
GMAT 1: 710 Q48 V40
WE: Marketing (Education)
GMAT ToolKit User Reviews Badge
Re: The number 23A4534A01 is divisible by 11. How many values  [#permalink]

Show Tags

New post 01 Dec 2016, 16:54
This is a tricky one especially if it comes towards the end of quant section!
Thanks!!

Sent from my A0001 using GMAT Club Forum mobile app
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 8486
Premium Member
Re: The number 23A4534A01 is divisible by 11. How many values  [#permalink]

Show Tags

New post 13 May 2018, 06:44
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: The number 23A4534A01 is divisible by 11. How many values &nbs [#permalink] 13 May 2018, 06:44
Display posts from previous: Sort by

The number 23A4534A01 is divisible by 11. How many values

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


cron
Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

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®.