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3.003/2.002=

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3.003/2.002= [#permalink]

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New post 13 Feb 2011, 08:21
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A
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D
E

Difficulty:

  25% (medium)

Question Stats:

67% (00:37) correct 33% (00:50) wrong based on 510 sessions

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3.003/2.002 =

A. 1.05
B. 1.50015
C. 1.501
D. 1.5015
E. 1.5
[Reveal] Spoiler: OA

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Last edited by Bunuel on 25 Sep 2013, 12:08, edited 1 time in total.
Renamed the topic and edited the question.

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Re: 143 [#permalink]

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Re: 143 [#permalink]

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New post 13 Feb 2011, 08:30
Both the numbers are divisible by 11

So it reduces to:
273/182

Now both the numbers are divisible by 13

21/14

Now both are divisible by, yes, 7

3/2

1.5
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Re: 3.003/2.002= [#permalink]

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New post 24 Feb 2015, 23:03
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Hi All,

Bunuel has shown how to properly reduce the fraction. Since the answers are numbers though, if you thought that you might be making a mistake in your calculations, then you could use these answers to your advantage and 'rewrite' the equation...

3.003/2.002 =

(one of the answers)(2.002) = 3.003

At this point, most Test Takers would probably assume that the answer was 1.5, so let's start there....

Is... (1.5)(2.002) = 3.003?

(1)(2.002) = 2.002
(.5)(2.002) = 1.001

2.002 + 1.001 = 3.003

This is a match for what we were given, so the solution MUST be 1.5

Final Answer:
[Reveal] Spoiler:
E


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Re: 3.003/2.002= [#permalink]

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New post 28 Feb 2015, 07:49
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GMATD11 wrote:
3.003/2.002 =

A. 1.05
B. 1.50015
C. 1.501
D. 1.5015
E. 1.5


Given that 3.003/2.002
= 3003/2002
= (3*1001)/(2*1001)
= 3/2
1.5

Hence option E.
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Re: 3.003/2.002= [#permalink]

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New post 17 May 2015, 16:07
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(3.003)/(2.002)=(3+0.003)/(2+0.002)=(3+3х10^(-3))/(2+2х10^(-3))=3(1+10^(-3))/2(1+10^(-3))=3/2=1.5. Hope it is clear
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Re: 3.003/2.002= [#permalink]

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New post 03 Sep 2016, 08:18
GMATD11 wrote:
3.003/2.002 =

A. 1.05
B. 1.50015
C. 1.501
D. 1.5015
E. 1.5



3.003/2.002 = 3003/2002 = 3x1001 / 2x1001 = 3/2 = 1.5
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Re: 3.003/2.002= [#permalink]

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New post 30 Nov 2016, 11:15
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GMATD11 wrote:
3.003/2.002 =

A. 1.05
B. 1.50015
C. 1.501
D. 1.5015
E. 1.5


There's a nice property of fractions that says: AB/CD = (A/C)(B/D)

Now notice that 3.003 = (3)(1.001)
And 2.002 = (2)(1.001)

So......3.003/2.002 = (3)(1.001)/(2)(1.001)
= (3/2)(1.001/1.001) [applying the above rule]
= (3/2)(1)
= 3/2
Answer:
[Reveal] Spoiler:
E


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Re: 3.003/2.002= [#permalink]

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New post 05 Aug 2017, 11:03
rewrite the fraction:
3.003
2.002
=3+.003
2+.002
=3+3*10^(-3)
2+2*10^(-3)
Factor:
3(1+10^(-3))
2(1+10^(-3))
=3/2
=1.5 answer E.

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Re: 3.003/2.002= [#permalink]

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New post 15 Oct 2017, 09:30
GMATD11 wrote:
3.003/2.002 =

A. 1.05
B. 1.50015
C. 1.501
D. 1.5015
E. 1.5


Gone for simple decimal division...
3.003/2.002= Step 1= 3003*10^3/2002*10^3
Step 2= 3003/2002 (10^3 crossed out)
answer: 1.5.
I hope its right and would be happy if anybody confirms me.

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Re: 3.003/2.002=   [#permalink] 15 Oct 2017, 09:30
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