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# if x and y are integrs greater than 1, is x a multiple of y

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Manager
Joined: 04 Feb 2004
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if x and y are integrs greater than 1, is x a multiple of y [#permalink]  15 Nov 2006, 00:45
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if x and y are integrs 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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[#permalink]  15 Nov 2006, 01:13
St1:
y(3y+7) = x

Since 3y+7 is an integer, then x is a multiple of y (3y+7)th multiple of y.

St2:
x(x-1) = yn where n is 1,2,3.. etc
Insufficient.

If x = 3, then x(x-1) = 6 while y could be 6. If so, then x is not a multiple of y. y could also be 2, then x is a multiple of y.

Ans A
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[#permalink]  15 Nov 2006, 04:37
if x and y are integrs greater than 1, is x a multiple of y ?

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

Question is asking is x/y = integer

x or y > 1

From A

Plugging number approach:

If Y = 3

3(9) + 21 =
27 + 21 = 48
Then X = 48 and 3 goes into 48 16 times

If y = 4
3(16) + 28 =
48 + 28 = 76
Then X = 76 and 4 gors into 76 = 19 times

From A we can work out that X is going to be a multiple of Y SUFF

From B

Same reason as ywilfred, plug in the numbers to test INSUFF

A is what I would pick.

What is OA?
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Re: DS: multiple - GMAT PREP [#permalink]  15 Nov 2006, 09:50
ak_idc wrote:
deep wrote:
if x and y are integrs greater than 1, is x a multiple of y ?

1) 3y^2 + 7y = x

y(3y+7) = x

x is a multiple of y.

2) x^2 - x is a multiple of y

x(x-1) = y

y is a multiple of x.

We can then say x is not a multiple of y.

Is the answer D?

Hi AK,
If x is a multiple of y, then x/y has to be an integer.
In the second case, x(x-1)=cy where c is a constant.
x/y can be a integer only if c/x-1 is an integer, which we cannot decide.
Hence S2 shud be insuff.
Re: DS: multiple - GMAT PREP   [#permalink] 15 Nov 2006, 09:50
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# if x and y are integrs greater than 1, is x a multiple of y

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