Find all School-related info fast with the new School-Specific MBA Forum

It is currently 23 Oct 2014, 01:42

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If A, B and C are digits and AB#0, what is the value of B?

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Intern
Intern
avatar
Joined: 11 Sep 2011
Posts: 26
Followers: 1

Kudos [?]: 10 [1] , given: 0

If A, B and C are digits and AB#0, what is the value of B? [#permalink] New post 08 Apr 2012, 13:19
1
This post received
KUDOS
5
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

54% (01:50) correct 46% (01:34) wrong based on 80 sessions
If A, B and C are digits and AB#0, what is the value of B?

(1)
AB
+BA
________
AAC

(2) A=1


[Reveal] Spoiler:
I am confused on the OA. Consider following situations -
82 91
+28 +19
____ _____
110 110

Hence, B can be 2 or 1. So (1) is not sufficient.
[Reveal] Spoiler: OA

Last edited by Bunuel on 10 Dec 2012, 01:53, edited 2 times in total.
Edited the question.
Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23394
Followers: 3607

Kudos [?]: 28814 [1] , given: 2852

Re: If A B C are digits and AB not equals to 0, what is the val [#permalink] New post 08 Apr 2012, 13:32
1
This post received
KUDOS
Expert's post
babusona wrote:
If A B C are digits and AB not equals to 0, what is the value of B?
(1) AB
+BA
_______________
AAC

(2) A=1


I am confused on the OA. Consider following situations -
82 91
+28 +19
____ _____
110 110

Hence, B can be 2 or 1. So (1) is not sufficient.


In your first example A has different values, which cannot happen.

If A, B and C are digits and AB#0, what is the value of B?

(1) AB + BA = AAC --> A=1 (A can not be more than 1, as the sum of 2 two-digit numbers is always less than 200) --> 1B+B1=11C --> B=9 (B can not be less than 8 as 18+81=99, not a three digit number) --> 19+91=110. Sufficient.

(2) A = 1. Not sufficient.

Answer: A.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Intern
Intern
avatar
Joined: 04 Jan 2012
Posts: 7
Followers: 0

Kudos [?]: 0 [0], given: 2

Re: If A B C are digits and AB not equals to 0, what is the val [#permalink] New post 13 Apr 2012, 21:58
Bunuel wrote:
babusona wrote:
If A B C are digits and AB not equals to 0, what is the value of B?
(1) AB
+BA
_______________
AAC

(2) A=1


I am confused on the OA. Consider following situations -
82 91
+28 +19
____ _____
110 110

Hence, B can be 2 or 1. So (1) is not sufficient.


In your first example A has different values, which cannot happen.

If A, B and C are digits and AB#0, what is the value of B?

(1) AB + BA = AAC --> A=1 (A can not be more than 1, as the sum of 2 two-digit numbers is always less than 200) --> 1B+B1=11C --> B=9 (B can not be less than 8 as 18+81=99, not a three digit number) --> 19+91=110. Sufficient.

(2) A = 1. Not sufficient.

Answer: A.


Hi what does AB#0 mean? what is the approach to solve such question in Data Sufficiency?
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23394
Followers: 3607

Kudos [?]: 28814 [0], given: 2852

Re: If A B C are digits and AB not equals to 0, what is the val [#permalink] New post 14 Apr 2012, 00:49
Expert's post
ps25 wrote:
Hi what does AB#0 mean? what is the approach to solve such question in Data Sufficiency?


AB#0 means AB\neq{0}, the product of A and B does not equal to zero. This way we are told that neither A nor B equals to zero.

As for the solution it's given in above post. Please ask if anything remains unclear.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Intern
Intern
avatar
Joined: 01 Oct 2012
Posts: 18
Location: United States
Concentration: Entrepreneurship, Marketing
WE: Research (Energy and Utilities)
Followers: 0

Kudos [?]: 8 [0], given: 9

If A,B and C are digits and AB is not 0, what is the value [#permalink] New post 10 Dec 2012, 01:51
amitdgr wrote:
If A,B and C are digits and AB is not 0, what is the value of B ?

(1) AB + BA = AAC

(2) A = 1



I think the answer is D.

Statement 1: this statement has already been established as sufficient in the previous posts.

Statement2: A=1

AB
+BA
-------
AAC


In the above addition, observe the units place: (digit) B + (digit) A = (digit) C
Now observe the tens place: (digit) A + (digit) B = (digit) A? -----> this means that a digit has carried over from the addition of the units digits. Now, because a digit has carried over, this implies that the digit A+B is a two digit number----> Now, the only way A+B or (1+B) will be a two digit number is if B = 9.

therefore statement B is sufficient as well.
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23394
Followers: 3607

Kudos [?]: 28814 [0], given: 2852

Re: If A,B and C are digits and AB is not 0, what is the value [#permalink] New post 10 Dec 2012, 01:58
Expert's post
geezer0305 wrote:
amitdgr wrote:
If A,B and C are digits and AB is not 0, what is the value of B ?

(1) AB + BA = AAC

(2) A = 1



I think the answer is D.

Statement 1: this statement has already been established as sufficient in the previous posts.

Statement2: A=1

AB
+BA
-------
AAC


In the above addition, observe the units place: (digit) B + (digit) A = (digit) C
Now observe the tens place: (digit) A + (digit) B = (digit) A? -----> this means that a digit has carried over from the addition of the units digits. Now, because a digit has carried over, this implies that the digit A+B is a two digit number----> Now, the only way A+B or (1+B) will be a two digit number is if B = 9.

therefore statement B is sufficient as well.


You cannot use information given in the first statement (AB + BA = AAC) for the second.

Check complete solution here: if-a-b-and-c-are-digits-and-ab-0-what-is-the-value-of-b-130419.html#p1071580

Hope it helps.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Intern
Intern
User avatar
Joined: 24 Apr 2012
Posts: 48
Followers: 0

Kudos [?]: 15 [0], given: 1

Re: If A, B and C are digits and AB#0, what is the value of B? [#permalink] New post 10 Dec 2012, 03:42
Ans: The only possibility of getting AA after adding A and B is if A=1 (adding two digits cannot give a number greater than 20). Since the addition of two numbers gives a three-digit number, therefore A+B>equal to 10 , that leaves B to be only 9. Therefore the answer is (D).
_________________

www.mnemoniceducation.com

TURN ON YOUR MINDS!!!

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23394
Followers: 3607

Kudos [?]: 28814 [0], given: 2852

Re: If A, B and C are digits and AB#0, what is the value of B? [#permalink] New post 10 Dec 2012, 03:45
Expert's post
priyamne wrote:
Ans: The only possibility of getting AA after adding A and B is if A=1 (adding two digits cannot give a number greater than 20). Since the addition of two numbers gives a three-digit number, therefore A+B>equal to 10 , that leaves B to be only 9. Therefore the answer is (D).


Correct answer is A, not D. Check here: if-a-b-and-c-are-digits-and-ab-0-what-is-the-value-of-b-130419.html#p1071586
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

CEO
CEO
User avatar
Joined: 09 Sep 2013
Posts: 2831
Followers: 206

Kudos [?]: 42 [0], given: 0

Premium Member
Re: If A, B and C are digits and AB#0, what is the value of B? [#permalink] New post 12 May 2014, 17:51
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

Re: If A, B and C are digits and AB#0, what is the value of B?   [#permalink] 12 May 2014, 17:51
    Similar topics Author Replies Last post
Similar
Topics:
3 Experts publish their posts in the topic What is the value of C + B? goodyear2013 5 05 Feb 2014, 15:36
If A, B, and C are digits and AB = 0, What is the value of B conair83 3 06 Apr 2010, 18:43
If A,B and C are digits and AB is not 0, what is the value amitdgr 6 01 Nov 2008, 08:07
What is the value of (a + b)^2? (1) ab = 0 (2) (a - b)^2 = bz9 3 02 Mar 2007, 02:11
What is the value of (a+b)^2? 1) ab=0 2) (a-b)^2=36 buckkitty 4 24 May 2006, 14:16
Display posts from previous: Sort by

If A, B and C are digits and AB#0, what is the value of B?

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

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

Powered by phpBB © phpBB Group and phpBB SEO

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®.