Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 43804

Question Stats:
64% (00:38) correct 36% (00:33) wrong based on 90 sessions
HideShow timer Statistics



Math Expert
Joined: 02 Sep 2009
Posts: 43804

Re D0107 [#permalink]
Show Tags
15 Sep 2014, 23:11



Intern
Joined: 16 May 2015
Posts: 43

Re: D0107 [#permalink]
Show Tags
05 Sep 2015, 00:48
1
This post received KUDOS
can someone explain why is that so ? thanks



Manager
Joined: 31 Jul 2014
Posts: 143

Re: D0107 [#permalink]
Show Tags
28 Sep 2015, 03:02
1
This post received KUDOS
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



Intern
Joined: 22 Nov 2014
Posts: 32

Re: D0107 [#permalink]
Show Tags
30 Oct 2015, 05:21
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



Current Student
Joined: 30 Sep 2015
Posts: 90
Location: Singapore
Concentration: Operations, Technology
GMAT 1: 690 Q48 V37 GMAT 2: 740 Q50 V40
WE: Supply Chain Management (Manufacturing)

3
This post received KUDOS
1
This post was BOOKMARKED
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



Manager
Joined: 05 Jul 2015
Posts: 107
Concentration: Real Estate, International Business
GPA: 3.3

Re: D0107 [#permalink]
Show Tags
19 Feb 2016, 12:11
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.



Intern
Joined: 06 Aug 2015
Posts: 46
Concentration: General Management, Entrepreneurship
GMAT Date: 10302016
GPA: 3.34
WE: Programming (Consulting)

Re: D0107 [#permalink]
Show Tags
24 May 2016, 04:56
Straight forward E)
Use Componendo and dividendo theorem. If A/B = C/D = > (A+B)/(AB) = (C+D)/(CD) by Componendo and dividendo.
You will achieve at the right answer in seconds.



Intern
Joined: 26 Jul 2015
Posts: 3
Location: India
Concentration: Technology, Strategy
GPA: 3.6

Re: D0107 [#permalink]
Show Tags
10 Jul 2016, 08:22
HARRY113 : Can you please explain how to solve this question in seconds? please provide an example using the property that you mentioned.



Intern
Joined: 06 Aug 2015
Posts: 46
Concentration: General Management, Entrepreneurship
GMAT Date: 10302016
GPA: 3.34
WE: Programming (Consulting)

Re: D0107 [#permalink]
Show Tags
10 Jul 2016, 10:12
1
This post received KUDOS
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 Hit kudos if you like this approach! Sent from my Lenovo A3500HV using GMAT Club Forum mobile app



Intern
Joined: 10 Jan 2016
Posts: 17
Location: United States (WV)
Concentration: Social Entrepreneurship, Sustainability
GPA: 3.72
WE: Project Management (NonProfit and Government)

Re: D0107 [#permalink]
Show Tags
02 Aug 2016, 17:09
1
This post received KUDOS
GMAT lists things in order from least to greatest...would they unintentionally do that for a question similar to this? haha



Intern
Joined: 26 Jan 2014
Posts: 3
Location: India
Concentration: Operations, Entrepreneurship
GMAT Date: 05022014
GPA: 3.5
WE: Engineering (Energy and Utilities)

Re: D0107 [#permalink]
Show Tags
06 Aug 2016, 19:32
1
This post received KUDOS
Rule to follow here is : Largest no. = 1  smallest fraction (which is nothing but a fraction with highest denominator)



Intern
Joined: 11 Nov 2016
Posts: 13
Location: Nigeria
GPA: 2.66

Re: D0107 [#permalink]
Show Tags
25 Nov 2016, 05:34
Thanks for this solution. Very enlightening.



Intern
Joined: 25 May 2017
Posts: 27

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 



Intern
Joined: 25 Aug 2017
Posts: 34

Re: D0107 [#permalink]
Show Tags
05 Oct 2017, 13:31
Wait, am I missing something here?
Example: 1/3 > 1/4; 1/3 is the largest number.



Intern
Joined: 11 Oct 2017
Posts: 11

Re: D0107 [#permalink]
Show Tags
26 Dec 2017, 23:11
a simpler way to understand this is  In all the given fractions, the numerator is 3 more than the denominator. therefore, all these fractions can be written in this form  (D  3) / D. Where D is the denominator. Now, this equation can be changed to (D/D)  (3/D). Basically split the numerator. This now becomes  1  (3/D) From the options, the one with the biggest denominator, will yield the smallest value for 3/D and thus the smallest value to be deducted from 1, subsequently yielding the largest value.
therefore, the answer is E



Intern
Joined: 22 Jan 2018
Posts: 2

Re: D0107 [#permalink]
Show Tags
03 Feb 2018, 15:22
Also using limits theory:
lim (n/(n+3)) = 1 when n = infinity lim (n/(n+3)) = 0 when n = 0
Then the bigger the "n" the bigger the fraction.
Cheers!










