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# Is x/y an even integer?

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Math Expert
Joined: 02 Sep 2009
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Is x/y an even integer?  [#permalink]

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11 Nov 2016, 01:24
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45% (medium)

Question Stats:

58% (01:10) correct 42% (01:02) wrong based on 332 sessions

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Is x/y an even integer?

(1) x is even.

(2) y is a factor of x.

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Re: Is x/y an even integer?  [#permalink]

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11 Nov 2016, 02:50
Bunuel wrote:
Is x/y an even integer?

(1) x is even.

(2) y is a factor of x.

IMO E

From statement 1
x is even. Insufficient. You don't know anything about y.

From statement 2
y is a factor of x, you don't know anything about x
if x=5 then y=0, 1 or 5 x/y=0, 5 or 1
if x=6 then y=0, 1, 2, 3, 6 x/y= 0, 6, 3, 2 or 1
Insufficient

Combining, x= even and y is a factor of x
x=6 then y can be 0, 1, 2, 3, 6 x/y can be 0 or even or odd
Insufficient

Hence E
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Re: Is x/y an even integer?  [#permalink]

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19 Nov 2016, 08:04
2
1
Nice Question
Here we need to get whether x/y is even or not.
Statement 1
using test cases
4/2=> yes its even
2/2 => no its not even

Statement 2
It just says that x/y = integer.
eg=> 4/2= Yes its even
2/2 => no its not even
Combining the two statements again
4/2 => yes its even
2/2 => no its not even

hence E
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Re: Is x/y an even integer?  [#permalink]

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20 Nov 2016, 07:59
Top Contributor
Bunuel wrote:
Is x/y an even integer?

(1) x is even.

(2) y is a factor of x.

Target question: Is x/y an even integer?

Statement 1: x is even
Since there's no information about y, this statement is NOT SUFFICIENT
However, to be 100% certain, some students may choose to TEST some values.
There are several values of x and y that satisfy statement 1. Here are two:
Case a: x = 6 and y = 1, in which case x/y = 6/1 = 6. So, x/y is EVEN
Case b: x = 6 and y = 2, in which case x/y = 6/2 = 3. So, x/y is NOT even
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: y is a factor of x
There are several values of x and y that satisfy statement 1. Here are two:
Case a: x = 6 and y = 1, in which case x/y = 6/1 = 6. So, x/y is EVEN
Case b: x = 6 and y = 2, in which case x/y = 6/2 = 3. So, x/y is NOT even
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
NOTICE that, for statement 1 and 2 above, I was able to use the same values for x and y to show why each statement on its own is NOT SUFFICIENT.
So, when we examine the statements COMBINED, the same values for x and y will apply.
That is....
Case a: x = 6 and y = 1, in which case x/y = 6/1 = 6. So, x/y is EVEN
Case b: x = 6 and y = 2, in which case x/y = 6/2 = 3. So, x/y is NOT even
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

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Is x/y an even integer? (1) x is even. (2) y is a factor of x  [#permalink]

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28 Jan 2017, 07:34
Is $$\frac{x}{y}$$ an even integer?

(1) x is even.

(2) y is a factor of x
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Re: Is x/y an even integer?  [#permalink]

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28 Jan 2017, 07:56
ziyuenlau wrote:
Is $$\frac{x}{y}$$ an even integer?

(1) x is even.

(2) y is a factor of x

Merging topics. Please refer to the discussion above.
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Re: Is x/y an even integer?  [#permalink]

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29 Jan 2017, 03:05
Is x/y an even integer?

Let's plug in simple number

(1) x is even.

x= 12, y=3.......then x/y=4.........Yes

x= 12, y=4.......then x/y=3.........No

Insufficient

(2) y is a factor of x.

Taking same example above: y could be 3 or 4 are factors of x=12, yielding same results.

Insufficient

Combining 1 & 2

Same example with same results.

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Re: Is x/y an even integer?  [#permalink]

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17 Sep 2018, 02:20
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Re: Is x/y an even integer?   [#permalink] 17 Sep 2018, 02:20
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