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# The numbers x and y are not integers. The value of x is

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The numbers x and y are not integers. The value of x is [#permalink]  18 May 2008, 22:28
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The numbers x and y are not integers. The value of x is closest to which integer?
(1) 4 is the integer that is closest to x + y
(2) 1 is the integer that is closest to x - y
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Re: GMAT PREP DS - number properties [#permalink]  19 May 2008, 00:08
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To me it cann't be answered with the two choices..so opt for E
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Re: GMAT PREP DS - number properties [#permalink]  19 May 2008, 00:09
japped187 wrote:
The numbers x and y are not integers. The value of x is closest to which integer?
(1) 4 is the integer that is closest to x + y
(2) 1 is the integer that is closest to x - y

for statement 1: you could have x= 1.5 , y=2.6 or x = -1.5, y = 5.6
insuff

for statement 2: you could have x= 1.5 , y= .6 or x = -1.5, y = -2.6
insuff

Together still insuff
you could have something like x = 1.4 or x =1.6, and the results will differ depend on rounding up or down.
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Re: GMAT PREP DS - number properties [#permalink]  21 May 2008, 16:27
I actually thought it was E, but because it was a # like 2.5, therefore it was equally distant between 2 and 3 and could not answer what integer it is closer to.
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Re: GMAT PREP DS - number properties [#permalink]  21 May 2008, 20:28
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japped187 wrote:
The numbers x and y are not integers. The value of x is closest to which integer?

(1) 4 is the integer that is closest to x + y
(2) 1 is the integer that is closest to x - y

togather: x could range from 2.26 to 2.74 so do y from 1.26 to 1.74. if so x could be close to either 2 or 3.

so E.
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Re: GMAT PREP DS - number properties [#permalink]  21 May 2008, 22:10
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Ans is C.

We know frm statement 1: 3.5<=x+y<4
and statement 2: 0.5<=x-y<1

Each alone is insufficient, but when we combine both the statements in this case add we can say 4<=2x<5 as both are positive we can simply add here.

which implies 2<=x<2.5 hence nearest is 2. Thus C is the answer
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Re: GMAT PREP DS - number properties [#permalink]  22 May 2008, 08:09
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iamcartic wrote:
Ans is C.

We know frm statement 1: 3.5<=x+y<4
and statement 2: 0.5<=x-y<1

Each alone is insufficient, but when we combine both the statements in this case add we can say 4<=2x<5 as both are positive we can simply add here.

which implies 2<=x<2.5 hence nearest is 2. Thus C is the answer

Hello,
Why can't we have frm statement 1: 4<=x+y<4.5 instead ????
I guess E also!
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Re: GMAT PREP DS - number properties [#permalink]  22 May 2008, 14:55
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E.

From 1:
3.5 <= x+y <= 4.4 ----I
From 2:
0.5 <= x-y <= 1.4 ----II

4.0 <= 2x <= 5.8
2 <= x <= 2.9
x can be close either to 2 or to 3.

E.
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Re: GMAT PREP DS - number properties [#permalink]  24 May 2008, 07:08
E for me..pick number x=2.5 and y=1.5

2.5 is closest to what integer? 2 or 3??
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Re: GMAT PREP DS - number properties [#permalink]  07 Jun 2008, 15:18
mbawaters wrote:
E.

From 1:
3.5 <= x+y <= 4.4 ----I
From 2:
0.5 <= x-y <= 1.4 ----II

4.0 <= 2x <= 5.8
2 <= x <= 2.9
x can be close either to 2 or to 3.

E.

Nice work, +1.

OA is E
Re: GMAT PREP DS - number properties   [#permalink] 07 Jun 2008, 15:18
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