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# If X and Y are positive integers, what is the remainder of

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CEO
Joined: 21 Jan 2007
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If X and Y are positive integers, what is the remainder of [#permalink]

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18 Dec 2007, 10:25
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If X and Y are positive integers, what is the remainder of (XY)/4?

remainder of x/4 is 3
remainder of y/4 is 2

Kudos [?]: 1088 [0], given: 4

Director
Joined: 12 Jul 2007
Posts: 857

Kudos [?]: 339 [0], given: 0

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18 Dec 2007, 11:02
From 1: x = 3, 7, 11, 15, 19, 23
From 2: y = 2, 6, 10, 14, 18, 22

any number from the X list multiplied by any number from the Y list will result in a remainder of 2 when divided by 4.

I'll go with C.

Kudos [?]: 339 [0], given: 0

CEO
Joined: 21 Jan 2007
Posts: 2734

Kudos [?]: 1088 [0], given: 4

Location: New York City

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18 Dec 2007, 11:03
How did you combine the statements?

Kudos [?]: 1088 [0], given: 4

CEO
Joined: 17 Nov 2007
Posts: 3583

Kudos [?]: 4714 [0], given: 360

Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40

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18 Dec 2007, 12:05
C

x=4n+3
y=4m+2

xy=16nm+8n+12m+6=4*(4nm+2n+3m+1)+2

Kudos [?]: 4714 [0], given: 360

Senior Manager
Joined: 16 Apr 2006
Posts: 270

Kudos [?]: 243 [0], given: 2

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18 Dec 2007, 13:28
From STMT 1: X = 7, 11, 15 etc
From STMT 2: Y = 6, 10, 14 etc

each statement by itself is insufficient but combining both gives remainder as 2. So C.
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Trying hard to achieve something unachievable now....

Kudos [?]: 243 [0], given: 2

CEO
Joined: 21 Jan 2007
Posts: 2734

Kudos [?]: 1088 [0], given: 4

Location: New York City

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18 Dec 2007, 13:36
bmwhype2 wrote:
How did you combine the statements?

3*2 / 4 = 6/4 = R2

OA is C

Kudos [?]: 1088 [0], given: 4

Senior Manager
Joined: 06 Aug 2007
Posts: 360

Kudos [?]: 35 [0], given: 0

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18 Dec 2007, 15:20
bmwhype2 wrote:
If X and Y are positive integers, what is the remainder of (XY)/4?

remainder of x/4 is 3
remainder of y/4 is 2

C the remainder is always 2.

Kudos [?]: 35 [0], given: 0

Manager
Joined: 03 Sep 2006
Posts: 233

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18 Dec 2007, 19:32
Late, but C:

I. Insuff: x/4 --> R=3, it means that x = 3, 3+4 = 7, 7+4 = 11 and so on
II. Insuff: y/x --> R=2 means that y = 2, 2+4 = 6 ans do on

Together: 3*2 / 4 --> R=2, 2*6 / 4 --> R=2 --> Suff

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SVP
Joined: 28 Dec 2005
Posts: 1543

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18 Dec 2007, 20:48
late, but went for C. each statement alone doesnt tell us about the other, and together, remainder is always two. Approach same as walkers

Kudos [?]: 189 [0], given: 2

SVP
Joined: 04 May 2006
Posts: 1878

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18 Dec 2007, 21:46
walker wrote:
C

x=4n+3
y=4m+2

xy=16nm+8n+12m+6=4*(4nm+2n+3m+1)+2

I go with C, and explaination is the same as Walker's

Kudos [?]: 1470 [0], given: 1

18 Dec 2007, 21:46
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# If X and Y are positive integers, what is the remainder of

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