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# M24-07

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Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 129001 [0], given: 12187

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16 Sep 2014, 01:20
Expert's post
2
This post was
BOOKMARKED
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Difficulty:

45% (medium)

Question Stats:

66% (01:17) correct 34% (01:26) wrong based on 38 sessions

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Which of the following is closest to $$\frac{4}{2.001}$$?

A. 1.997
B. 1.998
C. 1.999
D. 2.000
E. 2.001
[Reveal] Spoiler: OA

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Kudos [?]: 129001 [0], given: 12187

Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 129001 [1], given: 12187

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16 Sep 2014, 01:20
1
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Expert's post
Official Solution:

Which of the following is closest to $$\frac{4}{2.001}$$?

A. 1.997
B. 1.998
C. 1.999
D. 2.000
E. 2.001

$$\frac{4}{2.001}=\frac{4}{2+0.001}=\frac{4(2-0.001)}{(2+0.001)(2-0.001)}=\frac{4(2-0.001)}{4-0.001^2}$$.

Now, since $$0.001^2$$ is very small number then $$4-0.001^2$$ is very close to 4 itself, so $$0.001^2$$ is basically negligible in this case and we can write: $$\frac{4(2-0.001)}{4-0.001^2} \approx \frac{4(2-0.001)}{4}=2-0.001=1.999$$.

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Kudos [?]: 129001 [1], given: 12187

Current Student
Status: The Final Countdown
Joined: 07 Mar 2013
Posts: 293

Kudos [?]: 81 [0], given: 444

Concentration: Technology, General Management
GMAT 1: 710 Q47 V41
GPA: 3.84
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21 Jul 2015, 03:57
Bunuel , I approximated the denominator as 2 and chose D as answer.It did strike that it would be a little lower than 2 as the denominator is a little over 2 but generally we approximate like i did earlier.So did we go into so much detail because the answer choices were in detail too?

Kudos [?]: 81 [0], given: 444

Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 129001 [0], given: 12187

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21 Jul 2015, 04:00
Ralphcuisak wrote:
Bunuel , I approximated the denominator as 2 and chose D as answer.It did strike that it would be a little lower than 2 as the denominator is a little over 2 but generally we approximate like i did earlier.So did we go into so much detail because the answer choices were in detail too?

Yes, the options are very close to each other so you should approximate with more precision.
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Kudos [?]: 129001 [0], given: 12187

Intern
Joined: 29 Sep 2016
Posts: 16

Kudos [?]: 6 [0], given: 3

Location: United States
Concentration: Finance, Economics
GPA: 3.01

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14 Nov 2016, 22:53
Bunuel

I'm currently going through quiz problems for gmatclub tests.

As I'm going through, I see your explanation for this kind of problem, but I don't understand.

Could you send me a reference link?

thank you

Kudos [?]: 6 [0], given: 3

Intern
Joined: 18 Jun 2017
Posts: 1

Kudos [?]: 5 [0], given: 4

Location: United States
Concentration: Finance, Entrepreneurship
GPA: 3.2

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19 Aug 2017, 14:25
This is a 500 level question...?

Kudos [?]: 5 [0], given: 4

Re M24-07   [#permalink] 19 Aug 2017, 14:25
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# M24-07

Moderators: Bunuel, Vyshak

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