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

 It is currently 11 Feb 2016, 13:20

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# very good one

Author Message
TAGS:
SVP
Joined: 16 Jul 2009
Posts: 1627
Schools: CBS
WE 1: 4 years (Consulting)
Followers: 39

Kudos [?]: 654 [0], given: 2

very good one [#permalink]  14 Jun 2010, 14:00
00:00

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

GMAT Club Premium Membership - big benefits and savings

Last edited by noboru on 14 Jun 2010, 14:50, edited 1 time in total.
CEO
Status: Nothing comes easy: neither do I want.
Joined: 12 Oct 2009
Posts: 2797
Location: Malaysia
Concentration: Technology, Entrepreneurship
Schools: ISB '15 (M)
GMAT 1: 670 Q49 V31
GMAT 2: 710 Q50 V35
Followers: 209

Kudos [?]: 1342 [0], given: 235

Re: very good one [#permalink]  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

GMAT Club Premium Membership - big benefits and savings

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

Math Expert
Joined: 02 Sep 2009
Posts: 31297
Followers: 5358

Kudos [?]: 62424 [0], given: 9455

Re: very good one [#permalink]  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.

_________________
Re: very good one   [#permalink] 14 Jun 2010, 14:36
Similar topics Replies Last post
Similar
Topics:
A sporting goods store sold 64 Frisbees in one week, some for \$3 and 1 17 Jan 2016, 10:58
3 A sporting good store sells one type of baseball bat and one type of b 8 21 Apr 2015, 05:04
Very good PS set with answers! 1 22 Feb 2011, 15:28
another good one!!!!! 2 03 Aug 2010, 15:26
4 Good One from MGMAT Q Bank 4 10 Jul 2010, 22:24
Display posts from previous: Sort by