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

 It is currently 04 Jul 2015, 21:11

### 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

# X,A,B are positive integers. When X is divided by A, the

Author Message
TAGS:
Director
Joined: 02 Mar 2006
Posts: 579
Location: France
Followers: 1

Kudos [?]: 47 [0], given: 0

X,A,B are positive integers. When X is divided by A, the [#permalink]  24 Jun 2006, 14:21
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
X,A,B are positive integers. When X is divided by A, the remainder is B. When X is divided by B, the remainder is A-2. Which if the following must be true?

1. A is even
2. X+B is divisible by A
3. X-1 is divisible by A
4. B=A-1
5. A+2=B+1
Senior Manager
Joined: 07 Jul 2005
Posts: 404
Location: Sunnyvale, CA
Followers: 2

Kudos [?]: 4 [1] , given: 0

1
KUDOS
When divided by A, remainder is B, this implies
A > B

Similarly,
B > A -2

Combining,
B < A < (B + 2)
Since, A and B are integers,
A = B + 1

(D)
Director
Joined: 02 Mar 2006
Posts: 579
Location: France
Followers: 1

Kudos [?]: 47 [0], given: 0

That's nice. OA D. I could'nt find out how to pick numbers for this problem.
Senior Manager
Joined: 12 Mar 2006
Posts: 367
Schools: Kellogg School of Management
Followers: 2

Kudos [?]: 38 [0], given: 3

X & Y wrote:
D

Try this values:

X=7
A=2
B=1

X=17
A=3
B=2

Hi X&Y

I understand that these numbers work for the case mentioned above but i am not able to get a proof that can say that B must be equal to A-1.

I have the equations X = nA + B and X = pB + A-2 where n and p are integers, but dont know how to proceed. Could you please explain ?
Director
Joined: 16 Aug 2005
Posts: 946
Location: France
Followers: 1

Kudos [?]: 11 [0], given: 0

sgrover wrote:
When divided by A, remainder is B, this implies
A > B

Similarly,
B > A -2

Combining,
B < A < (B + 2)
Since, A and B are integers,
A = B + 1

(D)

_________________

I believe its yogurt!

Senior Manager
Joined: 16 Apr 2006
Posts: 280
Followers: 2

Kudos [?]: 56 [0], given: 2

Quote:
When divided by A, remainder is B, this implies
A > B

Similarly,
B > A -2

Combining,
B < A < (B + 2)
Since, A and B are integers,
A = B + 1

(D)

That's Great
Intern
Joined: 22 Jun 2006
Posts: 49
Location: Big Apple
Followers: 1

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

sgrover wrote:
When divided by A, remainder is B, this implies
A > B

Similarly,
B > A -2

Combining,
B < A < (B + 2)
Since, A and B are integers,
A = B + 1

(D)

GREAT explanation. Thanks.
Director
Joined: 02 Mar 2006
Posts: 579
Location: France
Followers: 1

Kudos [?]: 47 [0], given: 0

sgrover wrote:
When divided by A, remainder is B, this implies
A > B

Similarly,
B > A -2

Combining,
B < A < (B + 2)
Since, A and B are integers,
A = B + 1

(D)

Thanks, you got it.
Similar topics Replies Last post
Similar
Topics:
19 When the positive integer x divided by the positive integer 13 17 Jun 2014, 01:58
13 When the positive integer x is divided by 11, the quotient 7 21 Jan 2012, 00:21
25 When the positive integer x is divided by 11, the quotient 19 13 Apr 2010, 04:49
1 When the positive integer x is divided by 9, the remainder 8 22 Nov 2007, 17:04
When the positive integer x is divided by 11, the quotient 5 08 Aug 2006, 17:47
Display posts from previous: Sort by