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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]  01 Apr 2007, 16:42
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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 closest to x+y
2. 1 is the integer closest to x-y

OA: E
Manager
Joined: 11 Nov 2006
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[#permalink]  02 Apr 2007, 10:09
My answer, E)

(1) x+y close to 4
Case a) x=500011; y=-4996.2; x+y is close to 4 and x is close to 5000
Case b) x=2.1; y=2.1; x+y is close to 4 and x is close to 2
--> Insufficient

(2) x-y close to 1
Case a) x=5.1; y=4.12; x-y is close to 1 and x is close to 5
Case b) x=8.2; y=7.21; x-y is close to 1 and x is close to 8
---> Insufficient

(1) and (2)
Case a) x=2.8; y=1.82; x+y is close to 4; x-y is close to 1; x is close to 3
Case b) x=2.42; y=1.4; x+y is close to 4; x-y is close to 1; x is close to 2
---> Insufficient -> Answer is E)
[#permalink] 02 Apr 2007, 10:09
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# The numbers x and y are not integers. The value of x is

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