GMAT Changed on April 16th - Read about the latest changes here

It is currently 23 May 2018, 03:56

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Is the integer 2b divisible by 6 ?

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

Hide Tags

Manager
Manager
avatar
S
Joined: 21 Apr 2016
Posts: 185
GMAT ToolKit User Reviews Badge
Re: Is the integer 2b divisible by 6 ? [#permalink]

Show Tags

New post 10 Apr 2017, 19:20
Doesn't the question already say 2b is an integer? How can the answer be (C)?

From (1) 8b is divisible by 3. Therefore, b has to be divisible by 3. From the question stem 2b is an integer. Combining these two, b can be 3/2, 3, 6/2, 6, 9/2, 9, ... etc... for all these values of b, 2b is divisible by 6. Hence (A).
Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 45266
Re: Is the integer 2b divisible by 6 ? [#permalink]

Show Tags

New post 10 Apr 2017, 22:05
manhasnoname wrote:
Doesn't the question already say 2b is an integer? How can the answer be (C)?

From (1) 8b is divisible by 3. Therefore, b has to be divisible by 3. From the question stem 2b is an integer. Combining these two, b can be 3/2, 3, 6/2, 6, 9/2, 9, ... etc... for all these values of b, 2b is divisible by 6. Hence (A).


Your doubt is addressed several times on previous page. For (1) consider b = 3/2 --> 8b = 12, so it's divisible by 3 but 2b = 3, so not divisible by 6.
_________________

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

Intern
Intern
User avatar
B
Joined: 19 Mar 2015
Posts: 16
Location: India
Re: Is the integer 2b divisible by 6 ? [#permalink]

Show Tags

New post 11 Apr 2017, 23:36
Is the integer 2b divisible by 6 ?

(1) 8b is divisible by 3.

(2) 9b is divisible by 12

its clearly asked whether the Integer 2b is divisible by 6.....so we can only to take the values to b which satisfies 2b as integer even 3/2 is possible but not 3/4

from statement 1----> 8b =>4*2b when divisible by 3 the possible values from given and statement 1 combined are 3/2,3,6......
conclusion:- statement 1 is enough to solve the question

statement 2 is clearly not enough to solve the equation.

So my answer would be A
Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 45266
Re: Is the integer 2b divisible by 6 ? [#permalink]

Show Tags

New post 11 Apr 2017, 23:42
1
This post received
KUDOS
Expert's post
sreenu7464 wrote:
Is the integer 2b divisible by 6 ?

(1) 8b is divisible by 3.

(2) 9b is divisible by 12

its clearly asked whether the Integer 2b is divisible by 6.....so we can only to take the values to b which satisfies 2b as integer even 3/2 is possible but not 3/4

from statement 1----> 8b =>4*2b when divisible by 3 the possible values from given and statement 1 combined are 3/2,3,6......
conclusion:- statement 1 is enough to solve the question

statement 2 is clearly not enough to solve the equation.

So my answer would be A


The answer is NOT A it's C. It's explained several times on previous pages:

For a NO answer in (1) consider b = 3/2 --> 8b = 12, so it's divisible by 3 but 2b = 3, so not divisible by 6.
For an YES answer in (1) consider b = 3 --> 8b = 24, so it's divisible by 3 and 2b = 6, so divisible by 6.
_________________

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

Intern
Intern
avatar
Joined: 10 Mar 2018
Posts: 1
Re: Is the integer 2b divisible by 6 ? [#permalink]

Show Tags

New post 13 May 2018, 01:57
Option 1: 8b divisible for 3 ==> b divisible for 3 ==> From 1, do not have enough info for answer
Option 2: 9b divisible for 12 ==> b divisible for 2 ==> From 2, do not have enough info for answer

From 1 and 2==> b divisible for 6 => answer C

Please hit kudo if it helps! THanks.
Intern
Intern
avatar
B
Joined: 31 Aug 2016
Posts: 31
Re: Is the integer 2b divisible by 6 ? [#permalink]

Show Tags

New post 13 May 2018, 09:59
Bunuel wrote:
sreenu7464 wrote:
Is the integer 2b divisible by 6 ?

(1) 8b is divisible by 3.

(2) 9b is divisible by 12

its clearly asked whether the Integer 2b is divisible by 6.....so we can only to take the values to b which satisfies 2b as integer even 3/2 is possible but not 3/4

from statement 1----> 8b =>4*2b when divisible by 3 the possible values from given and statement 1 combined are 3/2,3,6......
conclusion:- statement 1 is enough to solve the question

statement 2 is clearly not enough to solve the equation.

So my answer would be A


The answer is NOT A it's C. It's explained several times on previous pages:

For a NO answer in (1) consider b = 3/2 --> 8b = 12, so it's divisible by 3 but 2b = 3, so not divisible by 6.
For an YES answer in (1) consider b = 3 --> 8b = 24, so it's divisible by 3 and 2b = 6, so divisible by 6.


Is it ok to make it from 2b/6 to b/3? Do we lose anything?
DS Forum Moderator
avatar
G
Joined: 22 Aug 2013
Posts: 1145
Location: India
Premium Member CAT Tests
Re: Is the integer 2b divisible by 6 ? [#permalink]

Show Tags

New post 13 May 2018, 23:40
The answer is NOT A it's C. It's explained several times on previous pages:

For a NO answer in (1) consider b = 3/2 --> 8b = 12, so it's divisible by 3 but 2b = 3, so not divisible by 6.
For an YES answer in (1) consider b = 3 --> 8b = 24, so it's divisible by 3 and 2b = 6, so divisible by 6.[/quote]

Is it ok to make it from 2b/6 to b/3? Do we lose anything?[/quote]

Hello

You are correct. Asking 'whether 2b is divisible by 6' is same as asking 'whether b is divisible by 3'.
In any case wherever 2b is divisible by 6, b has to be divisible by 3.
Re: Is the integer 2b divisible by 6 ?   [#permalink] 13 May 2018, 23:40

Go to page   Previous    1   2   [ 27 posts ] 

Display posts from previous: Sort by

Is the integer 2b divisible by 6 ?

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.