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# Which expression is the greatest (m07q16)

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Manager
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Which expression is the greatest (m07q16) [#permalink]

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12 Feb 2009, 23:28
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Which expression is the greatest?

(A) $$\frac{1876452}{1876455}$$

(B) $$\frac{1883456}{1883459}$$

(C) $$\frac{1883491}{1883494}$$

(D) $$\frac{1883446}{1883449}$$

(E) $$\frac{1883453}{1883456}$$

[Reveal] Spoiler: OA
C

Source: GMAT Club Tests - hardest GMAT questions
Senior Manager
Joined: 02 Nov 2008
Posts: 277
Re: Which expression is the greatest [#permalink]

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12 Feb 2009, 23:37
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C
The larger the numerator and denominator are (and the discrepancy between the 2 remains constant) the closer that fraction is to 1.
So:
1/2 is smaller than 49/50 and 49/50 is smaller than 99/100.
Director
Joined: 27 May 2008
Posts: 541
Re: Which expression is the greatest [#permalink]

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13 Feb 2009, 01:30
15
KUDOS
(1876455- 3) / 1876455
(1883459 - 3) / 1883459
(1883494 - 3) / 1883494
(1883449- 3) / 1883449
(1883456 - 3) / 1883456

1 - 3/1876455
1 - 3/1883459
1 - 3/1883494
1 - 3/1883449
1 - 3/1883456

1883494 is the highest number, Right option is C
Manager
Joined: 04 Jan 2009
Posts: 238
Re: Which expression is the greatest [#permalink]

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13 Feb 2009, 17:53
durgesh79 wrote:
(1876455- 3) / 1876455
(1883459 - 3) / 1883459
(1883494 - 3) / 1883494
(1883449- 3) / 1883449
(1883456 - 3) / 1883456

1 - 3/1876455
1 - 3/1883459
1 - 3/1883494
1 - 3/1883449
1 - 3/1883456

1883494 is the highest number, Right option is C

I got to C somewhat indirectly.
I said that we need the highest numerator and lowest denominator. Then I agrued that 1/2 is less than 2/3 is less than 3/4 and therefore C.
Your method is very logical.
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tusharvk

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Re: Which expression is the greatest [#permalink]

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13 Feb 2009, 18:44
durgesh79 wrote:
(1876455- 3) / 1876455
(1883459 - 3) / 1883459
(1883494 - 3) / 1883494
(1883449- 3) / 1883449
(1883456 - 3) / 1883456

1 - 3/1876455
1 - 3/1883459
1 - 3/1883494
1 - 3/1883449
1 - 3/1883456

1883494 is the highest number, Right option is C

You have my approach.

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Director
Joined: 29 Aug 2005
Posts: 859
Re: Which expression is the greatest [#permalink]

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15 Feb 2009, 07:58
xALIx wrote:
Which expression is the greatest?

* $$\frac{1876452}{1876455}$$

* $$\frac{1883456}{1883459}$$

* $$\frac{1883491}{1883494}$$

* $$\frac{1883446}{1883449}$$

* $$\frac{1883453}{1883456}$$

My friend,
If you post Gmatclub Challenge questions, be kind and state the bloody source. You should be posting them in the relevant folder, in the first place. You can't just dump a quarter of a Challenge without citing the source. One could understand if the questions were not Challenge or GMATPrep questions.
If you don't understand how much trouble it can cause, I am happy to explain it - just let me know.
sorry for offtop.
Manager
Joined: 22 Aug 2009
Posts: 99
Location: UK
Re: Which expression is the greatest (m07q16) [#permalink]

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06 Feb 2010, 10:39
very good question for testing number property

note this
17/19 is greater than 16/18

but

19/17 is less than 18/16
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Senior Manager
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Posts: 264
Re: Which expression is the greatest (m07q16) [#permalink]

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01 Apr 2010, 07:38
xALIx wrote:
Which expression is the greatest?
(A) $$\frac{1876452}{1876455}$$
(B) $$\frac{1883456}{1883459}$$
(C) $$\frac{1883491}{1883494}$$
(D) $$\frac{1883446}{1883449}$$
(E) $$\frac{1883453}{1883456}$$
[Reveal] Spoiler: OA
C

Source: GMAT Club Tests - hardest GMAT questions

Its simple C.
Every expression has same difference of 3 between numerator and denominator so bigger the numerator bigger will be the expression.
Manager
Joined: 05 Mar 2010
Posts: 217
Re: Which expression is the greatest (m07q16) [#permalink]

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01 Apr 2010, 10:36
Good question

And i agree with the rest
IMO C
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Re: Which expression is the greatest (m07q16) [#permalink]

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07 Apr 2010, 09:17
I think this is a Gmat Challenge Question.
A is out.
B - E: of the format n/(n+3), n (183491) is greatest in C and it is the correct answer.
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Re: Which expression is the greatest (m07q16) [#permalink]

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05 Apr 2011, 05:25
1876452/1876455 = 1876455/1876455 - 3/1876455 = 1 - 3/1876455

1883456/1883459 = 1 - 3/1883459

1883491/1883494 = 1 - 3/1883494

1883446/1883449 = 1 - 3/1883449

1883453/1883456 = 1 - 3/1883453

Clearly, 3/1883494 is least, and hence C is the greatest in value.
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Manager
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Re: Which expression is the greatest (m07q16) [#permalink]

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05 Apr 2011, 15:12
Answer C. Good explanations provided
Manager
Joined: 03 Nov 2009
Posts: 65
Re: Which expression is the greatest (m07q16) [#permalink]

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06 Apr 2011, 01:50
Ans C - went with the assumption that greater Numerator and greater Denominator would provide the largest fraction .

And finally found it to be true! Thanks to You Guys for the explanations.

Also I have a Question in case we have a Numerator greater than the Denominator like - 21/20, 32/33,/45/46.. Is It true that the smallest numericals of Numerator and Denominator would have the greatest fraction ???

Let me know.
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Joined: 15 May 2011
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Re: Which expression is the greatest (m07q16) [#permalink]

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28 Jun 2011, 22:24
Suppose the question were to be reframed and we were asked to find the smallest number instead. It would be the number with the smallest numerator right? i.e. choice A?
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Re: Which expression is the greatest (m07q16) [#permalink]

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10 Apr 2013, 05:33
good one

Converting the form from a/b to (x-y)/x i.e. 1-y/x makes the question quiet simple.

C is the answer
Manager
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Re: Which expression is the greatest [#permalink]

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10 Apr 2013, 07:08
chicagocubsrule wrote:
C
The larger the numerator and denominator are (and the discrepancy between the 2 remains constant) the closer that fraction is to 1.
So:
1/2 is smaller than 49/50 and 49/50 is smaller than 99/100.

Thats the same logic I'd employ! This was one of the easier ones though ; Thanks for the explanation!!

Regards,
Vishnu
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Re: Which expression is the greatest   [#permalink] 10 Apr 2013, 07:08
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# Which expression is the greatest (m07q16)

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