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# If X and Y are nonzero integers, what is the remainder when

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Current Student
Joined: 29 Jan 2005
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If X and Y are nonzero integers, what is the remainder when [#permalink]  26 Oct 2005, 06:48
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If X and Y are nonzero integers, what is the remainder when X/Y?

1. When X/2Y, the remainder is 4.
2. When X+Y is divided by Y, the remainder is 4
Senior Manager
Joined: 02 Oct 2005
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Kudos [?]: 6 [0], given: 0

1. When X/2Y, the remainder is 4.

>> Insuff.
>> Assume X = 28 and Y = 3 => Remainder of X/2Y = 4. But X/Y = 1
>> Assume X = 28 and Y = 4 => Remainder of X/2Y = 4. But X/Y = 0

2. When X+Y is divided by Y, the remainder is 4

>> Suff.
>> (x+y)/y => x/y + y/y
>> y evenly divides itself. Hence X/Y remainder is 4.

Intern
Joined: 26 Sep 2005
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Correction [#permalink]  26 Oct 2005, 11:32
X/Y = 3

(X+Y)/Y = 4;

X/Y + 1 = 4;

Ans:X/Y = 3
Senior Manager
Joined: 26 Jul 2005
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I see how 1 is insufficient but can someone explain (again) how 2 is sufficient?

(x+y)/y = R4

This statement simplified is x/y + y/y = R4

Now where do we go from here?
Manager
Joined: 04 Oct 2005
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ValleyBall1 wrote:
I see how 1 is insufficient but can someone explain (again) how 2 is sufficient?

(x+y)/y = R4

This statement simplified is x/y + y/y = R4

Now where do we go from here?

That is the solution.. y/y leaves no reminder... and then x/y leaves 4.... which is exactly what the stem was asking.
Senior Manager
Joined: 26 Jul 2005
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Duh...that's why I'm not doing too well on DS. When I think the question is tricking me, it isn't. When I think the question is straightforward, it tricks me. Urghh
Current Student
Joined: 29 Jan 2005
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OA is B. OE is a full page long, but Suhagar summarized it pretty well.
Senior Manager
Joined: 04 May 2005
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sudhagar wrote:
1. When X/2Y, the remainder is 4.

>> Assume X = 28 and Y = 4 => Remainder of X/2Y = 4. But X/Y = 0

28/(4*2) =7/2 => remainder is 1
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