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# If x and y are positive integers and x is a multiple of y,

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Manager
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If x and y are positive integers and x is a multiple of y, [#permalink]

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06 May 2006, 01:07
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 and x is a multiple of y, is y = 2?
(1) y ≠ 1
(2) x + 2 is a multiple of y.
VP
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06 May 2006, 01:24

Given:
x=ny

1-> Tell us NOthing!

2->
x+2 = my
or, ny + 2 = my
or 2 = (m-n)y
So y = 1 or 2!

Combining:
y is not 1... So y =2!
Manager
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20 Jun 2006, 22:44
Agree with the explanation.
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Zooroopa

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24 Jun 2006, 01:18
sm176811 wrote:
2 = (m-n)y
So y = 1 or 2!

Pardon me for the silly question, but how do you get
y=1 or 2 from 2=(m-n)y ?

Seeker
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24 Jun 2006, 10:11

2 = (m - n)*y => m and n are integers, and y ≠ 1, so y has to be 2!
Senior Manager
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24 Jun 2006, 10:21
yeah looks like C -

1) is insuff because y could be anything other then 1

2)is insuff because y could be 1 or 2

Combined you know y cant be 1 so it must be 2.
Senior Manager
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25 Jun 2006, 16:10
C.

Quote:
Pardon me for the silly question, but how do you get
y=1 or 2 from 2=(m-n)y ?

Since y is integer, y =2/(m-n) will be integer only when (m-n) = 1 or 2.

Hence y =1,2
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# If x and y are positive integers and x is a multiple of y,

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