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D01-07

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D01-07 [#permalink]

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Question Stats:

65% (00:41) correct 35% (00:37) wrong based on 81 sessions

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Which of the following numbers is the greatest?

A. \(\frac{1876452}{1876455}\)
B. \(\frac{1883446}{1883449}\)
C. \(\frac{1883453}{1883456}\)
D. \(\frac{1883456}{1883459}\)
E. \(\frac{1883491}{1883494}\)
[Reveal] Spoiler: OA

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Re D01-07 [#permalink]

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New post 16 Sep 2014, 00:11
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Official Solution:

Which of the following numbers is the greatest?

A. \(\frac{1876452}{1876455}\)
B. \(\frac{1883446}{1883449}\)
C. \(\frac{1883453}{1883456}\)
D. \(\frac{1883456}{1883459}\)
E. \(\frac{1883491}{1883494}\)

You have to notice that the difference between a numerator and denominator of any fraction equals 3. Thus, the greater the numerator/denominator, the greater the fraction. In this case, the greatest numerator is in the fifth fraction.

Answer: E
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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

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Re: D01-07 [#permalink]

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New post 05 Sep 2015, 01:48
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can someone explain why is that so ? thanks

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Re: D01-07 [#permalink]

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New post 28 Sep 2015, 04:02
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Bunuel wrote:
Official Solution:

Which of the following numbers is the greatest?

A. \(\frac{1876452}{1876455}\)
B. \(\frac{1883446}{1883449}\)
C. \(\frac{1883453}{1883456}\)
D. \(\frac{1883456}{1883459}\)
E. \(\frac{1883491}{1883494}\)

You have to notice that the difference between a numerator and denominator of any fraction equals 3. Thus, the greater the numerator/denominator, the greater the fraction. In this case, the greatest numerator is in the fifth fraction.

Answer: E


Hi
If differnce in numerator and denominator is fixed then we have to just look at numerator?

Thanks

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Re: D01-07 [#permalink]

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New post 30 Oct 2015, 06:21
Each can be written as x/x+1.. test numbers x=2 x/x+1 =2/3, .666 x=3, x/x+1 =3/4=.75>.66 so as x increases value of fraction increases

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D01-07 [#permalink]

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New post 24 Nov 2015, 20:36
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1876452/1876455 = (1876455 - 3)/1876455 = 1 - 3/1876455
1883491/1883494 = (1883494 - 3)/1883494 = 1 - 3/1883494

All the fractions can be written as 1 - 3/(Some number)
The largest denominator would make the number highest

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Re: D01-07 [#permalink]

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New post 19 Feb 2016, 13:11
I had to quickly test the theory being asked with other numbers to remind myself.

1/2 is smaller than 2/3 is smaller than 5/6 is smaller than 50/51. So since the different between the numerator and denominator is always 3, E is the biggest number and thus the closest number to 1.

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Re: D01-07 [#permalink]

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New post 24 May 2016, 05:56
Straight forward E)

Use Componendo and dividendo theorem.
If A/B = C/D = > (A+B)/(A-B) = (C+D)/(C-D) by Componendo and dividendo.

You will achieve at the right answer in seconds.

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Re: D01-07 [#permalink]

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New post 10 Jul 2016, 09:22
HARRY113 : Can you please explain how to solve this question in seconds? please provide an example using the property that you mentioned.

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Re: D01-07 [#permalink]

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New post 10 Jul 2016, 11:12
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Hi,

With the above rule in mind, try hitting the options.
Apply it to any 2 options you like.
You can conclude that, sum of numerator and denominator matters.{ ( A + B ) from above and ( A - B ) is always 3 }
Henceforth, the option with largest numerator and denominator will be our answer.

Hope you understood!



Cheers,
Harry
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Re: D01-07 [#permalink]

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New post 02 Aug 2016, 18:09
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GMAT lists things in order from least to greatest...would they unintentionally do that for a question similar to this? haha

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Re: D01-07 [#permalink]

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New post 06 Aug 2016, 20:32
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Rule to follow here is :
Largest no. = 1 - smallest fraction (which is nothing but a fraction with highest denominator)

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Re: D01-07 [#permalink]

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New post 25 Nov 2016, 06:34
Thanks for this solution. Very enlightening.

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D01-07 [#permalink]

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New post 15 Sep 2017, 05:02
If a fraction p/q < 1 then the faction p+n/q+n (where n is a positive intger) will always be greater than p/q.

To express this mathematically,

p+n/q+n > p/q , if p/q<1 & n>1

Now all the options in the question can be expressed as 1876452+n/1876455+n

Option E has the biggest value for n and will be the greatest fraction.


------ Crave Your Rave --------

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Re: D01-07 [#permalink]

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New post 05 Oct 2017, 14:31
Wait, am I missing something here?

Example: 1/3 > 1/4; 1/3 is the largest number.

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Re: D01-07   [#permalink] 05 Oct 2017, 14:31
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