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# Which expression is the greatest?

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Current Student
Joined: 12 Aug 2015
Posts: 2633
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Which expression is the greatest?  [#permalink]

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Updated on: 14 Aug 2016, 22:25
4
00:00

Difficulty:

35% (medium)

Question Stats:

65% (01:03) correct 35% (01:10) wrong based on 111 sessions

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Which expression is the greatest?

A) 3252/3257
B) 3456/3461
C) 3591/3596
D) 3346/3351
E) 3453/3458

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Originally posted by stonecold on 14 Aug 2016, 21:51.
Last edited by stonecold on 14 Aug 2016, 22:25, edited 1 time in total.
Manager
Joined: 03 Jul 2016
Posts: 75
Re: Which expression is the greatest?  [#permalink]

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14 Aug 2016, 22:40
4
6
Options can be re-written as (x-5)x => 1-(5/x)

A) 1- (5/3257)
B) 1- (5/3461)
C) 1- (5/3596)
D) 1- (5/3351)
E) 1- (5/3458)

To get the largest among these second half should be the least and so denominator to be largest. Hence 'C'.
##### General Discussion
Senior Manager
Joined: 23 Apr 2015
Posts: 309
Location: United States
WE: Engineering (Consulting)
Re: Which expression is the greatest?  [#permalink]

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14 Aug 2016, 22:20
stonecold wrote:
Which expression is the greatest?

(A) 18764521876455/18764521876455

(B) 18834561883459/18834561883459

(C) 18834911883494/18834911883494

(D) 18834461883449/18834461883449

(E) 18834531883456/18834531883456

all the choices give the same answer 1. so how come one of them is the greatest ??
Current Student
Joined: 12 Aug 2015
Posts: 2633
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Re: Which expression is the greatest?  [#permalink]

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11 Nov 2016, 11:16
1
The rule we can use here is that => " Whenever we add the same constant to both the numerator and the denominator of a positive fraction, the fraction approaches one"

Now As for this Question
Let 3252/3257 be the original fraction.
Notice that it is a positive Proper fraction.
Hence adding the same constant to both the numerator and the denominator will increase the fraction as the fraction will move closer to one.
Hence we just have to pick the number that adds the greatest value to both the numerator and the denominator.
So It must be C.
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Manager
Joined: 23 Apr 2014
Posts: 63
Location: United States
GMAT 1: 680 Q50 V31
GPA: 2.75
Re: Which expression is the greatest?  [#permalink]

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06 Dec 2016, 09:27
1
Argo wrote:
Options can be re-written as (x-5)x => 1-(5/x)

A) 1- (5/3257)
B) 1- (5/3461)
C) 1- (5/3596)
D) 1- (5/3351)
E) 1- (5/3458)

To get the largest among these second half should be the least and so denominator to be largest. Hence 'C'.

Like this method. Kudos !!

Also, we can see the difference between Numerator and denominator is same for all options. So, bigger the value of numerator and denominator, bigger the fraction.
One more point to add here - in this question, all fractions are proper fractions (Num is smaller than den), but when num is bigger than den (improper fractions) and difference is same for 2 fractions (5/4 and 7/6), in such case the bigger the numerator, smaller the value of fraction.

Hope this helps.
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Posts: 8763
Re: Which expression is the greatest?  [#permalink]

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06 Dec 2017, 12:32
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 expression is the greatest? &nbs [#permalink] 06 Dec 2017, 12:32
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