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

It is currently 18 Aug 2018, 03:54

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

If <<n>> denotes the least positive integer multiple of 4 that is grea

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

Hide Tags

Intern
Intern
avatar
B
Joined: 21 Feb 2018
Posts: 22
If <<n>> denotes the least positive integer multiple of 4 that is grea  [#permalink]

Show Tags

New post Updated on: 21 Jul 2018, 00:19
1
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

53% (01:48) correct 47% (01:13) wrong based on 30 sessions

HideShow timer Statistics

If <<n>> denotes the least positive integer multiple of 4 that is greater than or equal to integer n, what is the value of n ?

(1) <<n>> = 12
(2) n is equal to the sum of two consecutive prime numbers.


The answer is C. What does the extra << mean? and would someone please explain the answer? thank you so much!

Originally posted by franteraoka on 20 Jul 2018, 22:17.
Last edited by Bunuel on 21 Jul 2018, 00:19, edited 1 time in total.
e
RC Moderator
User avatar
G
Status: Perfecting myself for GMAT
Joined: 22 May 2017
Posts: 436
Concentration: Nonprofit
Schools: Haas '21
GPA: 4
WE: Engineering (Computer Software)
GMAT ToolKit User Premium Member CAT Tests
Re: If <<n>> denotes the least positive integer multiple of 4 that is grea  [#permalink]

Show Tags

New post 20 Jul 2018, 22:28
franteraoka wrote:
If <<n>> denotes the least positive integer multiple of 4 that is greater than or equal to integer n, what is the value of n ?

1. <<n>> = 12
2. n is equal to the sum of two consecutive prime numbers.


The answer is C. What does the extra << mean? and would someone please explain the answer? thank you so much!


Hi franteraoka

Just a suggestion. Please don't post the answer in plain text. I see you are already using the spoiler tag which is enough if somone wants to know the answer before trying the problem. I just feel seeing the answer before trying out the problem kills the eagerness to solve the problem, atleast in my case.
_________________

If you like my post press kudos +1

New - RC Butler - 2 RC's everyday

Tag me in RC questions if you need help. Please provide your analysis of the question in the post along with the tag.

Intern
Intern
avatar
B
Joined: 21 Feb 2018
Posts: 22
Re: If <<n>> denotes the least positive integer multiple of 4 that is grea  [#permalink]

Show Tags

New post 20 Jul 2018, 22:35
workout sorry about that! New to this, I will make sure to not spoil it on future posts, thanks!
RC Moderator
User avatar
G
Status: Perfecting myself for GMAT
Joined: 22 May 2017
Posts: 436
Concentration: Nonprofit
Schools: Haas '21
GPA: 4
WE: Engineering (Computer Software)
GMAT ToolKit User Premium Member CAT Tests
Re: If <<n>> denotes the least positive integer multiple of 4 that is grea  [#permalink]

Show Tags

New post 20 Jul 2018, 23:01
1
franteraoka wrote:
workout sorry about that! New to this, I will make sure to not spoil it on future posts, thanks!


Totally understood and thanks for your contributions !!!
_________________

If you like my post press kudos +1

New - RC Butler - 2 RC's everyday

Tag me in RC questions if you need help. Please provide your analysis of the question in the post along with the tag.

RC Moderator
User avatar
G
Status: Perfecting myself for GMAT
Joined: 22 May 2017
Posts: 436
Concentration: Nonprofit
Schools: Haas '21
GPA: 4
WE: Engineering (Computer Software)
GMAT ToolKit User Premium Member CAT Tests
Re: If <<n>> denotes the least positive integer multiple of 4 that is grea  [#permalink]

Show Tags

New post 20 Jul 2018, 23:09
1
To find the value of n

Statement 1

<<n>> = 12

=> the least positive integer multiple of 4 that is greater than or equal to integer n is 12

=> n can have the values 9, 10, 11, 12

We can't figure out a unique value for n

Statement 1 is insufficient

Statement 2

n is equal to the sum of two consecutive prime numbers.

n can be 3 = 5 = 8 or 5 + 7 = 12 and so on

We have infinitely many possible value for n

Statement 2 is not sufficient

Combining statements 1 and 2

Among 9, 10, 11, 12 only 12 is the sum of two consecutive prime numbers 5 and 7

n = 12

Statements 1 and 2 together are sufficient

Hence option C
_________________

If you like my post press kudos +1

New - RC Butler - 2 RC's everyday

Tag me in RC questions if you need help. Please provide your analysis of the question in the post along with the tag.

RC Moderator
User avatar
G
Status: Perfecting myself for GMAT
Joined: 22 May 2017
Posts: 436
Concentration: Nonprofit
Schools: Haas '21
GPA: 4
WE: Engineering (Computer Software)
GMAT ToolKit User Premium Member CAT Tests
Re: If <<n>> denotes the least positive integer multiple of 4 that is grea  [#permalink]

Show Tags

New post 20 Jul 2018, 23:13
1
franteraoka wrote:
If <<n>> denotes the least positive integer multiple of 4 that is greater than or equal to integer n, what is the value of n ?


The answer is C. What does the extra << mean? and would someone please explain the answer? thank you so much!


franteraoka Please go through this for more on this type of questions https://gmatclub.com/forum/symbols-repr ... 75009.html
_________________

If you like my post press kudos +1

New - RC Butler - 2 RC's everyday

Tag me in RC questions if you need help. Please provide your analysis of the question in the post along with the tag.

Intern
Intern
avatar
B
Joined: 21 Feb 2018
Posts: 22
Re: If <<n>> denotes the least positive integer multiple of 4 that is grea  [#permalink]

Show Tags

New post 21 Jul 2018, 16:12
workout thank you very much!
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6548
Re: If <<n>> denotes the least positive integer multiple of 4 that is grea  [#permalink]

Show Tags

New post 21 Jul 2018, 20:33
1
If <<n>> denotes the least positive integer multiple of 4 that is greater than or equal to integer n, what is the value of n ?

this means either
A) <<n>>=n, if n is multiple of 4 that is form of 4k, where k is an integer
B) <<n>>=n+1 to n+3......
So range is n to n+3


(1) <<n>> = 12
So n can be 9 to 12
Insufficient

(2) n is equal to the sum of two consecutive prime numbers.
n can be
a) 2+3=5
b) 3+5=8......and so on
Insufficient

Combined..
Only way when n is odd is when one is 2, so 2+3=5
Otherwise even..
Therefore it can be 10 or 12
10=5+5=3+7, so not possible to show it as sum of two consecutive prime numbers.
12=5+7....our answer
Sufficient
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Intern
Intern
avatar
B
Joined: 15 Jul 2014
Posts: 13
Premium Member CAT Tests
Re: If <<n>> denotes the least positive integer multiple of 4 that is grea  [#permalink]

Show Tags

New post 22 Jul 2018, 03:22
workout wrote:
To find the value of n

Statement 1

<<n>> = 12

=> the least positive integer multiple of 4 that is greater than or equal to integer n is 12

=> n can have the values 9, 10, 11, 12

We can't figure out a unique value for n

Statement 1 is insufficient

Statement 2

n is equal to the sum of two consecutive prime numbers.

n can be 3 = 5 = 8 or 5 + 7 = 12 and so on

We have infinitely many possible value for n

Statement 2 is not sufficient

Combining statements 1 and 2

Among 9, 10, 11, 12 only 12 is the sum of two consecutive prime numbers 5 and 7

n = 12

Statements 1 and 2 together are sufficient

Hence option C



franteraoka wrote:
If <<n>> denotes the least positive integer multiple of 4 that is greater than or equal to integer n, what is the value of n ?

(1) <<n>> = 12
(2) n is equal to the sum of two consecutive prime numbers.


The answer is C. What does the extra << mean? and would someone please explain the answer? thank you so much!


I don't quite understand this problem.
1. "Least positive integer multiple of 4 that is greater than or equal to integer n" ---> 12. So, the least positive integer which is greater than or equal to n is 12 means, isn't n=12?
2. n is equal to sum of two consecutive prime numbers. The only set of consecutive prime numbers is 2,3. If you consider 3 and 5 are consecutive prime numbers or 5 and 7, then all prime numbers are consecutive as well. Even 19 and 21 are consecutive.

What I actually got is, D.
Am I missing something?
RC Moderator
User avatar
G
Status: Perfecting myself for GMAT
Joined: 22 May 2017
Posts: 436
Concentration: Nonprofit
Schools: Haas '21
GPA: 4
WE: Engineering (Computer Software)
GMAT ToolKit User Premium Member CAT Tests
If <<n>> denotes the least positive integer multiple of 4 that is grea  [#permalink]

Show Tags

New post 22 Jul 2018, 05:47
elavendan1 wrote:

I don't quite understand this problem.
1. "Least positive integer multiple of 4 that is greater than or equal to integer n" ---> 12. So, the least positive integer which is greater than or equal to n is 12 means, isn't n=12?


elavendan1

Lets say n = 8. The least positive integer multiple of 4 that is greater than or equal to integer 8 ? = 8
Lets say n = 9. The least positive integer multiple of 4 that is greater than or equal to integer 9 ? = 12
Lets say n = 10. The least positive integer multiple of 4 that is greater than or equal to integer 10 ? = 12
Lets say n = 11. The least positive integer multiple of 4 that is greater than or equal to integer 11 ? = 12
Lets say n = 12. The least positive integer multiple of 4 that is greater than or equal to integer 12 ? = 12
Lets say n = 13. The least positive integer multiple of 4 that is greater than or equal to integer 13 ? = 16

So as we can see above only values 9, 10, 11, 12 satisfy statement 1

elavendan1 wrote:
2. n is equal to sum of two consecutive prime numbers. The only set of consecutive prime numbers is 2,3. If you consider 3 and 5 are consecutive prime numbers or 5 and 7, then all prime numbers are consecutive as well. Even 19 and 21 are consecutive.

What I actually got is, D.
Am I missing something?


Yes, all adjacent prime numbers are consecutive. That is why the statement2 itself is insufficient to find the value of n

Now, if we combine statements 1 and 2

=> only 12 is the sum of two consecutive prime numbers and hence n = 12
_________________

If you like my post press kudos +1

New - RC Butler - 2 RC's everyday

Tag me in RC questions if you need help. Please provide your analysis of the question in the post along with the tag.

If <<n>> denotes the least positive integer multiple of 4 that is grea &nbs [#permalink] 22 Jul 2018, 05:47
Display posts from previous: Sort by

If <<n>> denotes the least positive integer multiple of 4 that is grea

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

Events & Promotions

PREV
NEXT


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®.