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Re: Which expression is the greatest [#permalink]
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]
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.
8-)
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Re: Which expression is the greatest [#permalink]
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]
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]
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]
Good question

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