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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]

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04 Apr 2013, 17:09
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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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Kudos [?]: 77 [0], given: 141

Re: Which of the following fractions is at least twice greater t [#permalink]

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04 Apr 2013, 17:31
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 ?

11/50=0.22
9/20=0.45 which is 0.01 greater than two times of 0.22
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Kudos [?]: 55 [2] , given: 65

Re: Which of the following fractions is at least twice greater t [#permalink]

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04 Apr 2013, 18:04
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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]

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04 Apr 2013, 21:47
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]

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05 Apr 2013, 03:52
Thx fellows !

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]

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14 Jan 2015, 02:33
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Which of the following fractions is at least twice greater t [#permalink]

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14 Jan 2015, 21:31

Rationalise the denominator, $$\frac{9}{20} = \frac{45}{100}$$ is the highest
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Re: Which of the following fractions is at least twice greater t [#permalink]

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19 Mar 2016, 05:39
Hello from the GMAT Club BumpBot!

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Re: Which of the following fractions is at least twice greater t [#permalink]

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27 Apr 2016, 06:26
You can also set them equal to each other, cross multiply, and compare:

A.) 2/5 = 11/50 --> 100 = 55 (more than half)
B.) 11/34 = 11/50 --> 550 = 374 (more than half)
C.) 43/99 = 11/50 --> 2,150 = 1,089 (more than half)
D.) 8/21 = 11/50 --> 400 = 231 (more than half)
E.) 9/20 = 11/50 --> 450 = 220 (less than half)

In problems like this it is fastest to skip the longer ones like B & C and jump to D & E
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Which of the following fractions is at least twice greater t [#permalink]

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27 Apr 2016, 06:58
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 ?

Hi,

I believe any choice given by GMAT invariably does not require too much of calculations BUT we should how to read the info provided by choices..

so first lets see the Q--

atleast twice greater than 11/50..

INFERENCE-

1) Only ONE choice will be > 2*11/50..
2) In a way we are also looking for the LARGEST number in choice
3) The above 2-point mean that we can eliminate choices by comparing with 22/50 and ALSO by comparing within each other..

lets see the choices-

A. 2/5 .. 2/5 = 4/20 < E. 9/20..... also 2/5=20/50 <22/50.. eliminate
B. 11/34 .. 11/34 = 22/68.. numerators are same but denominator>50 so <22/50.. eliminate
C. 43/99 .. 22/50 = 44/100... In the choice both numerator and denominator are less by one each so 43/99<44/100.. eliminate
D. 8/21 .. clearly 8/21<E.9/20.. eliminate
E. 9/20 .. Only one left 9/20 = 45/100 > 44/100.. ANSWER

E
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Which of the following fractions is at least twice greater t   [#permalink] 27 Apr 2016, 06:58
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