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Which of the following fractions is at least twice greater t

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Which of the following fractions is at least twice greater t [#permalink] New post 04 Apr 2013, 16:09
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

68% (01:50) correct 32% (00:54) wrong based on 76 sessions


Which of the following fractions is at least twice greater than 11/50?

A. 2/5
B. 11/34
C. 43/99
D. 8/21
E. 9/20

It looks very easy but what is the fastest way to solve it ?
[Reveal] Spoiler: OA

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Re: Which of the following fractions is at least twice greater t [#permalink] New post 04 Apr 2013, 16:31
Tagger wrote:


Which of the following fractions is at least twice greater than 11/50?

A. 2/5
B. 11/34
C. 43/99
D. 8/21
E. 9/20

It looks very easy but what is the fastest way to solve it ?




Answer E


11/50=0.22
9/20=0.45 which is 0.01 greater than two times of 0.22
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Re: Which of the following fractions is at least twice greater t [#permalink] New post 04 Apr 2013, 17:04
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The fastest way to solve this problem is to use POE and approx by making the denominator same

A) 2/ 5 = 20/50 numerator is less than 22 so out.
B) 11/34 = 550 / 170 numerator is less than 746 so out.
C) 43 / 99 = approx. 43 / 100 numerator is much less than 80 so out.
D. 8/21 = approx. 40 / 100 close to C so out..
E. 9/20 = 45 / 100 numerator is more than twice 22 so Answer is E

//Kudos please, if the above explanation is good.
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Re: Which of the following fractions is at least twice greater t [#permalink] New post 04 Apr 2013, 20:47
Expert's post
Tagger wrote:


Which of the following fractions is at least twice greater than 11/50?

A. 2/5
B. 11/34
C. 43/99
D. 8/21
E. 9/20

It looks very easy but what is the fastest way to solve it ?


11/50 -->0.22. Now, we want to look at a value which is atleast 0.44 or more.

A-->0.4
B-->11/34 == 11/33(As we decreased the denominator, the actual value will be a little less) than 0.33
C-->43/99== 44/99(the actual value will be a little less) than 0.44
D-->8/21==8/20(the actual value will be a little less) than 0.4
E-->9/20==8/20(the actual value will be a little more) =0.45

E.
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Re: Which of the following fractions is at least twice greater t [#permalink] New post 05 Apr 2013, 02:52
Thx fellows !

Logically the answer will be the highest number of the answerchoice.

Since we're not allowed to use calculators, nt2010 method is the fastest I think.
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Re: Which of the following fractions is at least twice greater t   [#permalink] 05 Apr 2013, 02:52
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