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

It is currently 20 Nov 2018, 20:01

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 in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • All GMAT Club Tests are Free and open on November 22nd in celebration of Thanksgiving Day!

     November 22, 2018

     November 22, 2018

     10:00 PM PST

     11:00 PM PST

    Mark your calendars - All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA)
  • Free lesson on number properties

     November 23, 2018

     November 23, 2018

     10:00 PM PST

     11:00 PM PST

    Practice the one most important Quant section - Integer properties, and rapidly improve your skills.

M07-30

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50711
M07-30  [#permalink]

Show Tags

New post 15 Sep 2014, 23:35
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

81% (00:38) correct 19% (00:45) wrong based on 36 sessions

HideShow timer Statistics

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50711
Re M07-30  [#permalink]

Show Tags

New post 15 Sep 2014, 23:35
Official Solution:


(1) \(x\) is a multiple of both 4 and 6. Therefore \(x\) is a multiple of the least common multiple of 4 and 6, so a multiple of 12, hence \(\frac{x}{12}\) IS an integer. Sufficient.

(2) \(x\) is a multiple of both 8 and 10. Therefore \(x\) is a multiple of the least common multiple of 8 and 10, so a multiple of 40. Now, if \(x=40\) then the answer is NO but if \(x=120\) then the answer is YES. Not sufficient.


Answer: A
_________________

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: 26 Jul 2016
Posts: 28
Location: India
Concentration: Operations, Entrepreneurship
Schools: Tepper '19
GPA: 3.69
WE: Analyst (Manufacturing)
Re: M07-30  [#permalink]

Show Tags

New post 24 Oct 2016, 12:34
why is the answer not E when we know 1 is a multiple of every number . Am i missing something?
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50711
Re: M07-30  [#permalink]

Show Tags

New post 24 Oct 2016, 20:01
Intern
Intern
avatar
Joined: 09 Feb 2017
Posts: 2
Re: M07-30  [#permalink]

Show Tags

New post 24 Mar 2017, 04:27
Isn't 0 a multiple of everything as well?
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50711
Re: M07-30  [#permalink]

Show Tags

New post 24 Mar 2017, 04:30
Intern
Intern
avatar
Joined: 09 Feb 2017
Posts: 2
Re: M07-30  [#permalink]

Show Tags

New post 24 Mar 2017, 04:48
Hi Bunuel,

Never mind, 0/12 = 0 which is still an integer. I got a little bit confused. Now it makes sense.

Thank you for taking your time to response.
Intern
Intern
avatar
B
Joined: 16 Dec 2016
Posts: 4
Re: M07-30  [#permalink]

Show Tags

New post 14 Dec 2017, 10:08
I also went for E... So is option E incorrect???
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50711
Re: M07-30  [#permalink]

Show Tags

New post 14 Dec 2017, 10:12
sushanttinku wrote:
I also went for E... So is option E incorrect???


Yes, the answer is A, so E is not correct.

From (1) we know that x is a multiple of both 4 and 6, so x must be divisible by the least common multiple of 4 and 6, which is 12. Hence, x/12 IS an integer.
_________________

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
B
Joined: 16 Dec 2016
Posts: 4
Re: M07-30  [#permalink]

Show Tags

New post 14 Dec 2017, 21:08
But 0 is also multiple of every number and in this case it is not clear that X >0, so why should we ignore 0 here.
If it was given that X>0 then A would have been the correct answer, but here it is not given that X>0 so we have to consider 0 and hence E must be correct....Please clarify
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50711
Re: M07-30  [#permalink]

Show Tags

New post 14 Dec 2017, 21:51
sushanttinku wrote:
But 0 is also multiple of every number and in this case it is not clear that X >0, so why should we ignore 0 here.
If it was given that X>0 then A would have been the correct answer, but here it is not given that X>0 so we have to consider 0 and hence E must be correct....Please clarify


If x = 0, the answer is still YES x/12 = 0/12 = 0 = integer.
_________________

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

GMAT Club Bot
Re: M07-30 &nbs [#permalink] 14 Dec 2017, 21:51
Display posts from previous: Sort by

M07-30

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

Moderators: chetan2u, Bunuel



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®.