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M24-07

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

M24-07 [#permalink]

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New post 16 Sep 2014, 01:20
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

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

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Re M24-07 [#permalink]

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New post 16 Sep 2014, 01:20
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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: \(\frac{4(2-0.001)}{4-0.001^2} \approx \frac{4(2-0.001)}{4}=2-0.001=1.999\).


Answer: C
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Re: M24-07 [#permalink]

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New post 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?

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Re: M24-07 [#permalink]

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New post 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.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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Re: M24-07 [#permalink]

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New post 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

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Re M24-07 [#permalink]

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

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