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# If x an y are integers greater than 1, is x a multiple of y?

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If x an y are integers greater than 1, is x a multiple of y? [#permalink]  29 Jul 2008, 20:10
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If x an y are integers greater than 1, is x a multiple of y?

1. 3y^2+7y=x
2. x^2-x is a multiple of y

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Re: Gmatprep:DS [#permalink]  29 Jul 2008, 21:40
mba9now wrote:
If x an y are integers greater than 1, is x a multiple of y?

1. 3y^2+7y=x
2. x^2-x is a multiple of y

i) 3y^2+7y = x
y (3y + 7) = x
since x and y are integers >1, 3y+7 is also an integer and x = y (3y=7). so suff.

2. x^2 - x = yk
x (x - 1) = yk
not suff.

if x = 4, y = 6 and k = 2,
x (x - 1) = yk holds true.

if x = 4, y = 2 and k = 6,
x (x - 1) = yk holds true.

So A.
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Re: Gmatprep:DS [#permalink]  29 Jul 2008, 21:50
IMO A

If x an y are integers greater than 1, is x a multiple of y?

1. 3y^2+7y=x
2. x^2-x is a multiple of y

S2. x(x-1) = y; tells us that y us the product of two consecutive numbers (x-1) and x. This is not sufficient information.
say x = 2 then y = 2
x = 3 then y = 6
x = 4 the y = 12
In this case y is a multiple of x, but not the other way around so BD are out

S1. x = y(3y+1)
If y = 2 then x = 14; is 14 a multiple of 2 yes
Take any number and you will see that x is a multiple of y

IMO A
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Re: Gmatprep:DS [#permalink]  03 Aug 2008, 10:14
mba9now wrote:
If x an y are integers greater than 1, is x a multiple of y?

1. 3y^2+7y=x
2. x^2-x is a multiple of y

Good question :
(1) answers since x= y(3y+7) => x is multiple of y => SUFFI
(2) does not answer since x(x-1) is a multiple of Y but either (x-1) or x can be a muliple hence does not answer the question => INSUFFI

IMO A
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Re: Gmatprep:DS   [#permalink] 03 Aug 2008, 10:14
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