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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]

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New post 03 Apr 2012, 00:41
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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]

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New post 03 Apr 2012, 00:46
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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

Answer is E
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Re: iF X and Y are nonzero integers, is x/y an integer?  [#permalink]

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New post 03 Apr 2012, 00:50
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.

Answer: E.
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If x and y are nonzero integers, is x/y an integer?  [#permalink]

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New post 08 Feb 2015, 06:57
Hi,

I did do it like you, but I have one question.

So, statement one tells us that x=2*n, n is an integer.

Does this also tell us that x>=2, or we would also count 0, so x could be zero?
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Re: If x and y are nonzero integers, is x/y an integer?  [#permalink]

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New post 09 Feb 2015, 01:02
pacifist85 wrote:
Hi,

I did do it like you, but I have one question.

So, statement one tells us that x=2*n, n is an integer.

Does this also tell us that x>=2, or we would also count 0, so x could be zero?


The stem says that x and y are nonzero integers, so neither x nor y can be 0.
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Re: If x and y are nonzero integers, is x/y  [#permalink]

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New post 17 Jun 2018, 02:40
tarunanandani wrote:
If x and y are nonzero integers, is \(\frac{x}{y}\) 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.


The questions is asking whether X is divisible by y or x is a multiple of y.


Statement 1: x = 2 * q . here q can be any integer other than 0. therefore not sufficient
statement 2: Only a prime number is a product of two positive integers. therefore y could be any prime number. Not sufficient

combined: no link between q and y, therefore not sufficient.
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Re: If x and y are nonzero integers, is x/y an integer?  [#permalink]

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Re: If x and y are nonzero integers, is x/y an integer? &nbs [#permalink] 19 Dec 2018, 07:52
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