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# If x and y are nonzero integers, is x/y an integer?

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If x and y are nonzero integers, is x/y an integer? [#permalink]  03 Apr 2012, 01:41
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If x and y are nonzero integers, is x/y an integer?

(1) x is the product of 2 and some other integer.
(2) There is only one pair of positive integers whose product equals y.

Could someone please give an explanation to this question?
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Re: iF X and Y are nonzero integers, is x/y an integer? [#permalink]  03 Apr 2012, 01:46
Quote:
If x and y are nonzero integers, is x/y an integer?

1. x is the product of 2 and some other integer.
2. There is only one pair of positive integers whose product equals y.

Question is asking whether X is divisible by Y

1. OK so this tells us that x is even - Not sufficient

2. this tells us that y is prime or 1 - insufficient

1 + 2 if x is even and y is prime or 1 do we always get an integer? Answer is no.. sometimes we do when Y is 2 or 1 we would get an integer.. hence insufficent

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Re: iF X and Y are nonzero integers, is x/y an integer? [#permalink]  03 Apr 2012, 01:50
If x and y are nonzero integers, is x/y an integer?

(1) x is the product of 2 and some other integer --> x=2*integer --> x is an even number. Not sufficient, since no info about y.

(2) There is only one pair of positive integers whose product equals y --> y is a prime number or 1. Not sufficient, since no info about x.

(1)+(2) If x=2 and y=2=prime then \frac{x}{y}=1=integer but if x=2 and y=3=prime then \frac{x}{y}=\frac{1}{3}\neq{integer}. Not sufficient.

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Re: If x and y are nonzero integers, is x/y an integer? [#permalink]  03 Apr 2012, 06:33
dzodzo85 wrote:
If x and y are nonzero integers, is x/y an integer?

(1) x is the product of 2 and some other integer.
(2) There is only one pair of positive integers whose product equals y.

Could someone please give an explanation to this question?

my answer would be E too...explanation is similar to others
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Re: If x and y are nonzero integers, is x/y an integer?   [#permalink] 03 Apr 2012, 06:33
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