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CEO
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If X and Y are positive integers, what is the remainder of [#permalink]
 18 Dec 2007, 11:25
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
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Director
Joined: 12 Jul 2007
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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.
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CEO
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How did you combine the statements?
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CEO
Joined: 17 Nov 2007
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Concentration: Entrepreneurship, Other
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C
x=4n+3
y=4m+2
xy=16nm+8n+12m+6=4*(4nm+2n+3m+1)+2
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Senior Manager
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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.
_________________
Trying hard to achieve something unachievable now....
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CEO
Joined: 21 Jan 2007
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bmwhype2 wrote: How did you combine the statements?
3*2 / 4 = 6/4 = R2
OA is C
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Senior Manager
Joined: 06 Aug 2007
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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.
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Manager
Joined: 03 Sep 2006
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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
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late, but went for C. each statement alone doesnt tell us about the other, and together, remainder is always two. Approach same as walkers
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SVP
Joined: 04 May 2006
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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
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