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# M01-13

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Math Expert
Joined: 02 Sep 2009
Posts: 50711

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15 Sep 2014, 23:15
1
1
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Difficulty:

25% (medium)

Question Stats:

76% (01:08) correct 24% (00:58) wrong based on 158 sessions

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If the product of two integers $$x$$ and $$y$$ is negative, what is the value of $$x - y$$?

(1) $$x + y = 2$$

(2) $$-3 \lt x \lt y$$

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Math Expert
Joined: 02 Sep 2009
Posts: 50711

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15 Sep 2014, 23:15
1
Official Solution:

Because the product of $$x$$ and $$y$$ is negative, either $$x$$ or $$y$$ has to be negative.

Statement (1) is not sufficient by itself, because there are many possible combinations of $$x$$ and $$y$$: -1 and 3, -2 and 4, -3 and 5, etc.

Statement (2) is not sufficient by itself. From Statement (2), we can conclude that $$x$$ is either -1 or -2 and $$y$$ is positive, but this does not provide enough information to find the value of $$x - y$$.

Statements (1) and (2) together are not sufficient. Using both S1 and S2, there are two possible sets:

{$$x=-2$$, $$y=4$$} and {$$x=-1$$, $$y=3$$}

So the difference can be either 4 or 6.

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GMAT 1: 750 Q50 V42
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20 Sep 2016, 04:01
Do you mean the difference can be -4 or -6 ?

Since x is negative and y is positive; x-y should be negative.

B
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Joined: 16 Jun 2018
Posts: 10

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29 Aug 2018, 21:34
Bunuel wrote:
If the product of two integers $$x$$ and $$y$$ is negative, what is the value of $$x - y$$?

(1) $$x + y = 2$$

(2) $$-3 \lt x \lt y$$

Bunuel

I gave 1 as the ans choice as I thought

x+y=2
-(x-y)=2
x-y=2

Why can't we use this?
Math Expert
Joined: 02 Sep 2009
Posts: 50711

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29 Aug 2018, 21:57
psych77 wrote:
Bunuel wrote:
If the product of two integers $$x$$ and $$y$$ is negative, what is the value of $$x - y$$?

(1) $$x + y = 2$$

(2) $$-3 \lt x \lt y$$

Bunuel

I gave 1 as the ans choice as I thought

x+y=2
-(x-y)=2
x-y=2

Why can't we use this?

x + y is not the same as -(x - y) = -x + y.
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Re: M01-13 &nbs [#permalink] 29 Aug 2018, 21:57
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# M01-13

Moderators: chetan2u, Bunuel

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