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Which expression is the greatest?

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Which expression is the greatest? [#permalink]

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New post 14 Aug 2016, 21:51
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

61% (00:43) correct 39% (00:44) wrong based on 98 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
[Reveal] Spoiler: OA

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Last edited by stonecold on 14 Aug 2016, 22:25, edited 1 time in total.

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Re: Which expression is the greatest? [#permalink]

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New post 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 ??

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Re: Which expression is the greatest? [#permalink]

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New post 14 Aug 2016, 22:40
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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'.

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Re: Which expression is the greatest? [#permalink]

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New post 11 Nov 2016, 11:16
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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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Re: Which expression is the greatest? [#permalink]

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New post 06 Dec 2016, 09:27
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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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Re: Which expression is the greatest? [#permalink]

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