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

It is currently 20 Oct 2014, 03:34

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

very good one

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
SVP
SVP
avatar
Joined: 16 Jul 2009
Posts: 1634
Schools: CBS
WE 1: 4 years (Consulting)
Followers: 31

Kudos [?]: 275 [0], given: 2

very good one [#permalink] New post 14 Jun 2010, 14:00
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

50% (03:51) correct 50% (00:00) wrong based on 2 sessions
I dont usually post on Quant Forum, but I consider this an interesting one:

X, A, and B are positive integers. When X is divided by A , the remainder is B . If when X is divided by B , the remainder is A-2 , which of the following must be true?


a)A is even
b)X+B is divisible by A
c)X-1 is divisible by A
d)B=A-1
e)A+2=B+1
_________________

The sky is the limit
800 is the limit


Get the best GMAT Prep Resources with GMAT Club Premium Membership


Last edited by noboru on 14 Jun 2010, 14:50, edited 1 time in total.
CEO
CEO
User avatar
Status: Nothing comes easy: neither do I want.
Joined: 12 Oct 2009
Posts: 2794
Location: Malaysia
Concentration: Technology, Entrepreneurship
Schools: ISB '15 (M)
GMAT 1: 670 Q49 V31
GMAT 2: 710 Q50 V35
Followers: 181

Kudos [?]: 983 [0], given: 235

Reviews Badge
Re: very good one [#permalink] New post 14 Jun 2010, 14:14
noboru wrote:
I dont usually post on Quant Forum, but I consider this an interesting one:

X, A, and B are positive integers. When X is divided by A , the remainder is B . If when X is divided by B , the remainder is A-2 , which of the following must be true?


a)A is even
b)X+B is divisible by A
c)X-1 is divisible by A
d)B=A+1
e)A+2=B+1


When X is divided by A , the remainder is B
=> A>B as the remainder is always left when it is less than the divisor else it is divided again.

when X is divided by B , the remainder is A-2
=> B > A-2 , same explanation.

combine both..... A>B>A-2 => A+2 > B+2 > A

This is only possible when B+1 = A as they are integers.
Take eg of A = 5, B= 4 and A-2 = 3

But this option is not listed , I guess there is a typo error in d or e as they both are equal.
_________________

Fight for your dreams :For all those who fear from Verbal- lets give it a fight

Money Saved is the Money Earned :)

Jo Bole So Nihaal , Sat Shri Akaal

:thanks Support GMAT Club by putting a GMAT Club badge on your blog/Facebook :thanks

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Gmat test review :
670-to-710-a-long-journey-without-destination-still-happy-141642.html

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23331
Followers: 3599

Kudos [?]: 28590 [0], given: 2803

Re: very good one [#permalink] New post 14 Jun 2010, 14:36
Expert's post
noboru wrote:
I dont usually post on Quant Forum, but I consider this an interesting one:

X, A, and B are positive integers. When X is divided by A , the remainder is B . If when X is divided by B , the remainder is A-2 , which of the following must be true?


a)A is even
b)X+B is divisible by A
c)X-1 is divisible by A
d)B=A+1
e)A+2=B+1


When X is divided by A, the remainder is B --> x=aq+b --> remainder=b<a=divisor (remainder must be less than divisor);
When X is divided by B, the remainder is A-2 --> x=bp+(a-2) --> remainder=(a-2)<b=divisor.

So we have that: a-2<b<a, as a and b are integers, then it must be true that b=a-1 (there is only one integer between a-2 and a, which is a-1 and we are told that this integer is b, hence b=a-1).

No one seems to be necessarily true from answer choices. One thing though D and E are the same, so there must be a typo: if D were b=a-1, instead of b=a+1, then D would be the correct answer OR if E were a-2=b-1, instead of a+2=b+1, then E would be the correct answer.

Pleas check the answer choices.
_________________

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

Re: very good one   [#permalink] 14 Jun 2010, 14:36
    Similar topics Author Replies Last post
Similar
Topics:
Very good PS set with answers! miguelmick 1 22 Feb 2011, 15:28
13 Experts publish their posts in the topic In the xy-plane, if line k has negative slope and passes GMATMadeeasy 23 17 Jan 2010, 08:19
only one tip - very important namurad 5 28 Jun 2008, 11:50
good one sharadGmat 16 25 Jun 2006, 01:24
Experts publish their posts in the topic 620 GMAT but very good academic/professional experience segmoti 1 10 Sep 2005, 15:52
Display posts from previous: Sort by

very good one

  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®.