Which expression is the greatest : GMAT Club Tests Archive

xALIx

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Which expression is the greatest [#permalink]

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) $\frac{1883453}{1883456}$

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C

Source: GMAT Club Tests - hardest GMAT questions

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chicagocubsrule

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Re: Which expression is the greatest [#permalink]

12 Feb 2009, 23:37

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1

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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.

durgesh79

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Re: Which expression is the greatest [#permalink]

13 Feb 2009, 01:30

15

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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

tusharvk

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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.

GMAT TIGER

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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.
8-)

seofah

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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.

Snowingreen

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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

bangalorian2000

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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) $\frac{1883453}{1883456}$

Show SpoilerOA

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.

hardnstrong

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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

gmatbull

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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.

B

subhashghosh

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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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htskumar

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

05 Apr 2011, 15:12

Answer C. Good explanations provided

DaVagabond

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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.

AriBenCanaan

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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?

asphalt

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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

B

vishnuns39620

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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

Which expression is the greatest

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