if X and Y are non-zero integers, what is the remainder when

Oldest

Best Reply

Author

Message

TAGS:

Current Student

Joined: 28 Dec 2004

Posts: 3439

Location: New York City

Schools: Wharton'11 HBS'12

Followers: 11

Kudos [?]: 134 [0], given: 2

if X and Y are non-zero integers, what is the remainder when [#permalink]

24 Jun 2005, 12:03

00:00

Question Stats:

0% (00:00) correct

0% (00:00) wrong

based on 0 sessions

if X and Y are non-zero integers, what is the remainder when X is divided by Y?

1) when x is divided by 2y the remainder is 4
2) when x+y is divided by y the remainder is 4....

Show the working...I know (2) is so simple but putup the explanations...

SVP

Joined: 30 Sep 2004

Posts: 1547

Location: Germany

Followers: 4

Kudos [?]: 15 [0], given: 0

[#permalink]

24 Jun 2005, 12:30

first statement is insufficient. x/2y=z+4 => x=2yz+4. thats not enough to find the remainder of x/y. try y=3 and z=2 or y=5 and z=2. but you dont need to pick number. in the eq above are just to many unknown variables. second statement is sufficient. x+y/y => x/y +y/y => x/y + 1 has remainder 4. so its clear that x/y has a remainder of 4 as well.
_________________

If your mind can conceive it and your heart can believe it, have faith that you can achieve it.

Director

Joined: 18 Apr 2005

Posts: 553

Location: Canuckland

Followers: 1

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

Re: DS remainders [#permalink]

24 Jun 2005, 13:46

fresinha12 wrote:

B

1) x = y*2k + 4 works only for even multipliers => insuff
2) x+y = y*m + 4 => x = y(m-1) +4 => works y>4

Senior Manager

Joined: 30 May 2005

Posts: 287

Followers: 1

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

[#permalink]

20 Jul 2005, 14:28

hello
can anyone plz explains me why statement 1 is insufficient thanks

regards

mandy

Senior Manager

Joined: 04 May 2005

Posts: 287

Location: CA, USA

Followers: 1

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

[#permalink]

29 Jul 2005, 13:21

B for me

1) insufficient
if one know X/(2Y) remainder is a, then he cannot
derive anything about the result of X/Y's remainder

Example:
if you know 4/10 remainder is 3, will you know 4/5's remainder (1)?
OR if you know 3/10 remainder is 3, will you know 3/5's remainder (3) ?

I cannot deduce it using formula though.

Senior Manager

Joined: 29 Nov 2004

Posts: 491

Location: Chicago

Followers: 1

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

[#permalink]

29 Jul 2005, 17:34

Agree with B, christoph has good explation thanks
_________________

Fear Mediocrity, Respect Ignorance

[#permalink] 29 Jul 2005, 17:34

	Similar topics	Author	Replies	Last post
Similar Topics:	If X and Y are nonzero integers, what is the remainder when	AkamaiBrah	8	16 Jul 2003, 04:48
	If x and y are non-zero integers, what is the remainder when	crackgmat04	6	13 Dec 2004, 02:46
	If x and y are non-zero integers, what's the remainder when	banerjeea_98	14	03 Feb 2005, 20:13
	If X and Y are nonzero integers, what is the remainder when	GMATT73	7	26 Oct 2005, 07:48
	If x and y are nonzero integers, what is the remainder when	bschool83	6	23 Sep 2011, 17:52

if X and Y are non-zero integers, what is the remainder when

Main navigation

GMAT Resources

Partners

MBA Resources

GMAT ® is a registered trademark of the Graduate Management Admission Council ® (GMAC ®). GMAT Club's website has not been reviewed or endorsed by GMAC.

GMAT Courses

Admissions Consulting

if X and Y are non-zero integers, what is the remainder when

if X and Y are non-zero integers, what is the remainder when

Main navigation

GMAT Resources

Partners

MBA Resources