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# m01q13

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Manager
Joined: 09 Jun 2011
Posts: 104

Kudos [?]: 64 [0], given: 0

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14 Sep 2011, 05:17
If the product of two integers X and Y is negative, what is the value of X-Y?
1. X+Y = 2
2. -3<X<Y

Kudos [?]: 64 [0], given: 0

Intern
Joined: 09 Mar 2011
Posts: 15

Kudos [?]: 7 [0], given: 3

Location: Mumbai

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14 Sep 2011, 21:08
It seems the answer would be E.

It's given that the product of X & Y is negative. Hence one of the two numbers has to be negative.

Statement 1.
X + Y=2

X can take the value -1, -2, -3, -4....
Corresponding to that Y can take the value 3, 4, 5, 6.....

Hence 1 is not enough.

Statement 2
-3<X<Y
It's given that both X & Y are integers. Hence X can be equal to -2, -1, 0.... Similarly Y can be any number more than X.

Thus no definite answer can be obtained using statament 2.

Statament 1 + 2
Since X+Y=2 and the product of the two numbers is negative, using statament 2, we can see that X can be either -2 or -1. Hence Y= 4 or 3

Thus X+Y= 6 or 4.
No definite answer. Hence Option E.

Kudos [?]: 7 [0], given: 3

Re: m01q13   [#permalink] 14 Sep 2011, 21:08
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# m01q13

Moderator: Bunuel

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