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If x and y are non zero integers, what is the remainder when

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Manager
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Joined: 24 Jun 2003
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If x and y are non zero integers, what is the remainder when [#permalink] New post 05 Aug 2003, 04:10
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If x and y are non zero integers, what is the remainder when x is divided by y?

1) When x is didided by 2y, the remainder is 4;
2) When x +y is divided by y, the remainder is 4.
Manager
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Joined: 24 Jun 2003
Posts: 94
Location: Moscow
Followers: 1

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B is correct [#permalink] New post 05 Aug 2003, 07:32
B is the correct answer.

The logic is as follows:

To prove that the first statement is not sufficient try to pick a few number and you will see that the remained can be 0 and 1 (as with x=10&12 and y=3&4, respectively)

2) (x+y)/y (remaider 4) can be simplified to x/y + y/y. Since y/y never has a remainder, regardless of the value of y, the remainder when x is divided by y will always be the same as the remainder when (x+y)y
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Respect,

KL

B is correct   [#permalink] 05 Aug 2003, 07:32
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If x and y are non zero integers, what is the remainder when

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