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# In the fraction x/y, where x and y are positive integers, what is the

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In the fraction x/y, where x and y are positive integers, what is the  [#permalink]

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24 Dec 2017, 01:34
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In the fraction $$\frac{x}{y}$$, where $$x$$ and $$y$$ are positive integers, what is the value of $$y$$ ?

(1) $$\frac{x}{(y + 2)}$$ is an integer.

(2) $$x < 4$$

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Re: In the fraction x/y, where x and y are positive integers, what is the  [#permalink]

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24 Dec 2017, 03:52
Bunuel wrote:
In the fraction x/y, where x and y are positive integers, what is the value of y ?

(1) x/(y + 2) is an integer.
(2) x < 4

Statement 1: $$\frac{x}{(y+2)}=integer$$

$$=>y+2≤x =>y≤x-2$$. But we don't know the values of any variable. Insufficient

Statement 2: As $$x$$ is a positive integer, so possible values of $$x=1$$, $$2$$ & $$3$$. But nothing mentioned about $$y$$. Insufficient

Combining 1 & 2. as $$y$$ is positive integer $$x$$ has to be $$3$$ which means $$y=1$$. Sufficient

Option C
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Re: In the fraction x/y, where x and y are positive integers, what is the  [#permalink]

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24 Dec 2017, 06:55
Bunuel wrote:
In the fraction $$\frac{x}{y}$$, where $$x$$ and $$y$$ are positive integers, what is the value of $$y$$ ?

(1) $$\frac{x}{(y + 2)}$$ is an integer.

(2) $$x < 4$$

1. says x/(y+2) is an integer. that means x= (y+2)p + q ( p& q constant ).

Now, we don't know any condition for the equation to be true or
we dont the value of x or y. So INSUFFICIENT.
2. statement -2 gives a condition x<4 that means x can be 1, 2 or 3. INSUFFICIENT.

Combining 1 & 2 , we get

x = 1,2,3 only 3 satisfies .
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In the fraction x/y, where x and y are positive integers, what is the  [#permalink]

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24 Dec 2017, 16:15
Bunuel wrote:
In the fraction $$\frac{x}{y}$$, where $$x$$ and $$y$$ are positive integers, what is the value of $$y$$ ?

(1) $$\frac{x}{(y + 2)}$$ is an integer.

(2) $$x < 4$$

(1) $$\frac{x}{(y + 2)}$$ is an integer. This only tells us that x is bigger than 2; insufficient.

(2) $$x < 4$$. This says that x = {1,2,3}, but says nothing about y..; insufficient.

(1) & (2).We know that 2 < x < 4, so x = 3 and y = 1 for statement (1) to be true; sufficient.

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Re: In the fraction x/y, where x and y are positive integers, what is the  [#permalink]

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13 Mar 2019, 01:45
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Re: In the fraction x/y, where x and y are positive integers, what is the   [#permalink] 13 Mar 2019, 01:45
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