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# If x and y are not integers. The value of x is closest to

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Senior Manager
Joined: 20 Feb 2008
Posts: 291
Location: Bangalore, India
Schools: R1:Cornell, Yale, NYU. R2: Haas, MIT, Ross
If x and y are not integers. The value of x is closest to [#permalink]

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01 Dec 2008, 11:29
If x and y are not integers. The value of x is closest to which integer?

1. 4 is the integer closest to x+y
2. 1 is the integer closest to x-y

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Intern
Joined: 01 Dec 2008
Posts: 3
Re: Another one from GMATPREP [#permalink]

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01 Dec 2008, 11:36
1
I think it's E.

If you pick x=2.4 and y=1.6, you satisfy (1) and (2) and x is closer to 2

if you pick x=2.6 and y=1.4 you also satisfy (1) and (2) but x is closer to 3
Current Student
Joined: 28 Dec 2004
Posts: 3288
Location: New York City
Schools: Wharton'11 HBS'12
Re: Another one from GMATPREP [#permalink]

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01 Dec 2008, 11:47
i get E..x=2.5 which can go either way..
VP
Joined: 17 Jun 2008
Posts: 1477
Re: Another one from GMATPREP [#permalink]

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01 Dec 2008, 12:04
Agree with E.

From stmt1: 3.5 < x+y < 4.5
From stmt2: 0.5 < x-y < 1.5

Adding the two inequalities (as these are positive)
4 < 2x < 6
or, 2 < x < 3....hence, x could be closeer to 2 or 3....insufficient.
Senior Manager
Joined: 20 Feb 2008
Posts: 291
Location: Bangalore, India
Schools: R1:Cornell, Yale, NYU. R2: Haas, MIT, Ross
Re: Another one from GMATPREP [#permalink]

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01 Dec 2008, 15:19
Thats right! E it is thanks guys.

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This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Re: Another one from GMATPREP   [#permalink] 01 Dec 2008, 15:19
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# If x and y are not integers. The value of x is closest to

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