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

It is currently 29 Jul 2014, 02:51

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

When the positive integer x is divided by 4, is the

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
User avatar
Joined: 24 Feb 2008
Posts: 349
Schools: UCSD ($) , UCLA, USC ($), Stanford
Followers: 113

Kudos [?]: 1204 [0], given: 2

GMAT Tests User
When the positive integer x is divided by 4, is the [#permalink] New post 25 May 2008, 18:39
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
When the positive integer x is divided by 4, is the remainder equal to 3?

(1) When x/3 is divided by 2, the remainder is 1.

(2) x is divisible by 5.
_________________

Chinese Democracy is misunderstood...at your nearest BestBuy.

Best AWA guide here: how-to-get-6-0-awa-my-guide-64327.html

Director
Director
avatar
Joined: 14 Aug 2007
Posts: 735
Followers: 7

Kudos [?]: 96 [0], given: 0

GMAT Tests User
Re: DS: remainder [#permalink] New post 25 May 2008, 18:52
chineseburned wrote:
When the positive integer x is divided by 4, is the remainder equal to 3?

(1) When x/3 is divided by 2, the remainder is 1.

(2) x is divisible by 5.


(1) when x is divided by 6 remainder is 1, so x is 7(OK) , 13(Not OK) ,so Not suff.
(2) x can be 5(Not good), 10(Not good), 15(OK), so insuff

together x can be 25, 65, which should always(?) give remainder of 1, so suff.

Thus C
Intern
Intern
User avatar
Joined: 25 May 2008
Posts: 12
Followers: 1

Kudos [?]: 16 [0], given: 0

Re: DS: remainder [#permalink] New post 25 May 2008, 20:42
Check your solution please!
The answer is E.
65 doesn't satisfy condition 1/. It is rather 55 and 55 does work, which means that when 55 is divided by 4, the remainder is 3. Since this is not the case for 25, there is not enough information.
Otherwise you did a very good job, fellow!



Quote:
How you perceive people and things will set the pace of your journey and dictate your reality!

_________________

Dakar Azu is The GMAT Doctor.
Dakar is an experienced GMAT teacher who can be reached at http://700gmatclub.com. He prepares aspiring business students thoroughly to get them well over the GMAT 700-score hurdle through his online GMAT courses.


Last edited by TheGMATDoctor on 13 Jul 2010, 12:09, edited 2 times in total.
Expert Post
CEO
CEO
User avatar
Joined: 17 Nov 2007
Posts: 3604
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 351

Kudos [?]: 1692 [0], given: 354

GMAT ToolKit User GMAT Tests User Premium Member
Re: DS: remainder [#permalink] New post 25 May 2008, 21:28
Expert's post
I still think that C is correct.

1) When x/3 is divided by 2, the remainder is 1.
It means that x is divisible by 3 because x/3 has to be an integer.
So,
x=3, r=3
x=9, r=1
insufficient

2) x is divisible by 5.

So,
x=5, r=1
x=15, r=3
insufficient

1)&2)
write out x that satisfy 1st condition and find two the closest numbers that satisfy 2nd condition also:

x=3,9,15,21,27,43,49,55

So,
x=15, r=3
x=55, r=3
sufficient

TheGMATDoctor wrote:
The answer is E.

Give two examples that satisfy both conditions and give different remainders.
_________________

HOT! GMAT TOOLKIT 2 (iOS) / GMAT TOOLKIT (Android) - The OFFICIAL GMAT CLUB PREP APP, a must-have app especially if you aim at 700+ | PrepGame

Director
Director
avatar
Joined: 23 Sep 2007
Posts: 798
Followers: 5

Kudos [?]: 74 [0], given: 0

GMAT Tests User
Re: DS: remainder [#permalink] New post 25 May 2008, 21:45
E

you have 25 and 55, they meet both conditions

and 25/4 ---> remainder is 1

55/4 ---> remainder is 3
Expert Post
CEO
CEO
User avatar
Joined: 17 Nov 2007
Posts: 3604
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 351

Kudos [?]: 1692 [0], given: 354

GMAT ToolKit User GMAT Tests User Premium Member
Re: DS: remainder [#permalink] New post 25 May 2008, 22:07
Expert's post
gmatnub wrote:
E

you have 25 and 55, they meet both conditions

and 25/4 ---> remainder is 1

55/4 ---> remainder is 3


25 is not divisible by 3 and therefore first condition is not satisfied or maybe you know what is remainder when 8.333333 is divided by 2 :wink:
_________________

HOT! GMAT TOOLKIT 2 (iOS) / GMAT TOOLKIT (Android) - The OFFICIAL GMAT CLUB PREP APP, a must-have app especially if you aim at 700+ | PrepGame

Director
Director
avatar
Joined: 23 Sep 2007
Posts: 798
Followers: 5

Kudos [?]: 74 [0], given: 0

GMAT Tests User
Re: DS: remainder [#permalink] New post 25 May 2008, 22:12
walker wrote:
gmatnub wrote:
E

you have 25 and 55, they meet both conditions

and 25/4 ---> remainder is 1

55/4 ---> remainder is 3


25 is not divisible by 3 and therefore first condition is not satisfied or maybe you know what is remainder when 8.333333 is divided by 2 :wink:


hey walker, statement 1 does not say that x has to be divisible by 3, it say x/3 divide by 2 ---> x/6. This is another typical question by chineseburn, where the wording is unnecessary complicated and designed to play "gotcha".
Expert Post
CEO
CEO
User avatar
Joined: 17 Nov 2007
Posts: 3604
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 351

Kudos [?]: 1692 [0], given: 354

GMAT ToolKit User GMAT Tests User Premium Member
Re: DS: remainder [#permalink] New post 25 May 2008, 22:37
Expert's post
(1) When 25/3 is divided by 2, the remainder is 1.

it has no sense, as remainder is applicable only for integers.

I disagree that 1st question simply means x/6 and can say that in real GMAT the condition would state as:

(1) X is divisible by 3 and when x/3 is divided by 2, the remainder is 1.
_________________

HOT! GMAT TOOLKIT 2 (iOS) / GMAT TOOLKIT (Android) - The OFFICIAL GMAT CLUB PREP APP, a must-have app especially if you aim at 700+ | PrepGame

Director
Director
avatar
Joined: 23 Sep 2007
Posts: 798
Followers: 5

Kudos [?]: 74 [0], given: 0

GMAT Tests User
Re: DS: remainder [#permalink] New post 25 May 2008, 23:32
walker wrote:
(1) When 25/3 is divided by 2, the remainder is 1.

it has no sense, as remainder is applicable only for integers.

I disagree that 1st question simply means x/6 and can say that in real GMAT the condition would state as:

(1) X is divisible by 3 and when x/3 is divided by 2, the remainder is 1.


But if this is the case, x can not equal to 55 either.
Expert Post
CEO
CEO
User avatar
Joined: 17 Nov 2007
Posts: 3604
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 351

Kudos [?]: 1692 [0], given: 354

GMAT ToolKit User GMAT Tests User Premium Member
Re: DS: remainder [#permalink] New post 26 May 2008, 00:14
Expert's post
gmatnub wrote:
But if this is the case, x can not equal to 55 either.


Thanks! Silly mistake! :evil: should be:

x=3,9,15,21,27,33,39,45

So,
x=15, r=3
x=45, r=1

insufficient.

E
_________________

HOT! GMAT TOOLKIT 2 (iOS) / GMAT TOOLKIT (Android) - The OFFICIAL GMAT CLUB PREP APP, a must-have app especially if you aim at 700+ | PrepGame

Intern
Intern
avatar
Joined: 14 Apr 2008
Posts: 41
Followers: 0

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

Re: DS: remainder [#permalink] New post 26 May 2008, 02:39
I think C is correct.

I think the examples of 25, 55 and 65 do not satisfy (1), i.e. 25/3, 55/3 and 65/3 divided by 2 do not lead to remainder 1.

Agreed with walker.
Current Student
avatar
Joined: 28 Dec 2004
Posts: 3405
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 13

Kudos [?]: 152 [0], given: 2

GMAT Tests User
Re: DS: remainder [#permalink] New post 26 May 2008, 09:07
SHIT I got C too..

anyways..i realized my mistake...

stem x=4N+3 i.e x=3, 7, 11, 15 etc

1) x=6N+1 x=1, 7, 13, 19, 25...

clearly Insuff

2) x is divible by 5.., x=5 remainder 1..x=10 remainder 2...x=15 remainder 3...

insuff..

together x can be 15, 55...

HERE is what i did wrong..i accidently ended up dividing by 3..the question clearly asks x/4...GRRRRRR

I agree with OA=e..remainder can be 1 or 3..
Intern
Intern
User avatar
Joined: 25 May 2008
Posts: 12
Followers: 1

Kudos [?]: 16 [0], given: 0

Re: DS: remainder [#permalink] New post 26 May 2008, 15:27
In my earlier post above,
I assumed that the integer x is being divided by 6. (Otherwise you must assume that x/3 is an integer). Indeed, the division algorithm (actually a theorem that relates to all integers positive, zero and negative with the constraint that d ≠ 0 ) states that for two integers a and d, with d ≠ 0, there are unique integers q and r such that a = qd + r and 0 ≤ r < |d| ,
The integer
-q is called the quotient
- r is called the remainder
-d is called the divisor
-a is called the dividend
This question needs to be more clear as it is the case in the GMAT.
The set of "qualified" integers you get will depend on your choice of "x/3" or "x/6" since an integer can be divisible by 3 without being divisible by 6. If you choose to go with "x/6" then you'll have the "qualified" integer 55. 55 is divisible by 5 and when you divide 55 by 6 the remainder is 1. So the two conditions are satisfied. Finally when you divide 55 by 4 the remainder is 3. The "qualified'' integer 25 will give a remainder of 1 when divided by 4.
Yet, no matter what option you go with, the answer will still be E.
Very nice discussion overall!

Quote:
How you perceive people and things will set the pace of your journey and dictate your reality!

_________________

Dakar Azu is The GMAT Doctor.
Dakar is an experienced GMAT teacher who can be reached at http://700gmatclub.com. He prepares aspiring business students thoroughly to get them well over the GMAT 700-score hurdle through his online GMAT courses.

Re: DS: remainder   [#permalink] 26 May 2008, 15:27
    Similar topics Author Replies Last post
Similar
Topics:
3 Experts publish their posts in the topic When the positive integer x is divided by the positive integ chetan86 3 09 Jul 2014, 07:01
11 Experts publish their posts in the topic When the positive integer x divided by the positive integer Bunuel 13 17 Jun 2014, 01:58
When a positive integer is divided by 4, the remainder is r; tarek99 3 18 Aug 2008, 07:27
What is the remainder when the positive integer x is divided tingle 2 08 Oct 2005, 14:38
What is the remainder when the positive integer x is divided qhoc0010 3 19 Feb 2005, 20:35
Display posts from previous: Sort by

When the positive integer x is divided by 4, is the

  Question banks Downloads My Bookmarks Reviews Important topics  


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®.