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# M13-04

Author Message
Manager
Joined: 06 Jun 2010
Posts: 160
Followers: 2

Kudos [?]: 19 [0], given: 151

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08 Apr 2013, 11:27
Which of the following is closest to 1/1.001?

a.0.997
b.0.998
c.0.999
d.1.000
e.1.001

Manager
Status: Looking to improve
Joined: 15 Jan 2013
Posts: 175
GMAT 1: 530 Q43 V20
GMAT 2: 560 Q42 V25
GMAT 3: 650 Q48 V31
Followers: 1

Kudos [?]: 67 [2] , given: 65

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08 Apr 2013, 13:19
2
KUDOS
1/1.001 = 1000 / 1001 = (1001 - 1)/1001 = 1 - 1/1001 = 1 - 0.0009 = 0.9991.. since the answers listed to only 3 decimals and 4th decimal is < 4..

//kudos please, if this explanation is good.
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VP
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1122
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
Followers: 191

Kudos [?]: 2104 [1] , given: 219

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08 Apr 2013, 13:29
1
KUDOS
shreerajp99 wrote:
Which of the following is closest to 1/1.001?

a.0.997
b.0.998
c.0.999
d.1.000
e.1.001

Try with my explanation, let me know how it is...

$$\frac{1}{1.001}=X$$ , $$1=1.001X$$
1.001 means $$100%+0,1%$$ of a number, so lets try with a 0.997: it becomes $$0.997(100%)+0.000997(0.1%)=0.997997$$
with B it's $$0.998998$$ with C it's $$0.999999$$. C is clearly closer to 1.
Of course the answer can't be D or E because Den>Num
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Re: M13-04   [#permalink] 08 Apr 2013, 13:29
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# M13-04

Moderator: Bunuel

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