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Which expression is the greatest (m07q16) [#permalink]
 12 Feb 2009, 23:28
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}Source: GMAT Club Tests - hardest GMAT questions
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Re: Which expression is the greatest [#permalink]
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.
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Re: Which expression is the greatest [#permalink]
13 Feb 2009, 01:30
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(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
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Re: Which expression is the greatest [#permalink]
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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Re: Which expression is the greatest [#permalink]
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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Re: Which expression is the greatest [#permalink]
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.
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Re: Which expression is the greatest (m07q16) [#permalink]
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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Re: Which expression is the greatest (m07q16) [#permalink]
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}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.
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Re: Which expression is the greatest (m07q16) [#permalink]
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]
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]
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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Re: Which expression is the greatest (m07q16) [#permalink]
05 Apr 2011, 15:12
Answer C. Good explanations provided
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Re: Which expression is the greatest (m07q16) [#permalink]
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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Re: Which expression is the greatest (m07q16) [#permalink]
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]
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
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Re: Which expression is the greatest [#permalink]
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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