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GMAT Diagnostic Test Question 7 [#permalink]
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06 Jun 2009, 21:53
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GMAT Diagnostic Test Question 7Field: Arithmetic, Fractions Difficulty: 650 Which of the following numbers is the greatest? A. \(\frac{1876452}{1876455}\) B. \(\frac{1883446}{1883449}\) C. \(\frac{1883453}{1883456}\) D. \(\frac{1883456}{1883459}\) E. \(\frac{1883491}{1883494}\)
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Re: GMAT Diagnostic Test Question 7 [#permalink]
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Explanation:Official Answer: EYou have to notice that the difference between a numerator and denominator of any fraction equals 3. Thus, the greater the numerator/denominator, the greater the fraction. In this case, the greatest numerator is in the third fraction. The answer is E. You might think of these two fractions as an extreme example: \(\frac{997}{1000}\) and \(\frac{1}{4}\) The difference between numerator and denominator is the same for both fractions, as you can see. There's no doubt, though, that the first fraction is very close to 1, unlike the second one. So, having in mind the same difference between numerators and denominators of the fractions in the answer choices, the greater numerator (denominator) of the fraction, the greater the fraction.
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Re: GMAT Diagnostic Test Question 7 [#permalink]
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09 Aug 2009, 21:48
I noticed the difference bt was'nt able to conclude anything..So basically this is like comparing 1/4 , 5/8 and 7/10...since the last one has the highest numerator it will be the largest fraction..hmm..intresting..can somebody please elaborate on this ??
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Re: GMAT Diagnostic Test Question 7 [#permalink]
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You might think of these two fractions as an extreme example: \(\frac{997}{1000}\) and \(\frac{1}{4}\) The difference between numerator and denominator is the same for both fractions, as you can see. There's no doubt, though, that the first fraction is very close to 1, unlike the second one. So, having in mind the same difference between numerators and denominators of the fractions in the answer choices, the greater numerator (denominator) of the fraction, the greater the fraction. Hope this helps . tejal777 wrote: I noticed the difference bt was'nt able to conclude anything..So basically this is like comparing 1/4 , 5/8 and 7/10...since the last one has the highest numerator it will be the largest fraction..hmm..intresting..can somebody please elaborate on this ??
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Re: GMAT Diagnostic Test Question 7 [#permalink]
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10 Aug 2009, 08:17
Quote: You might think of these two fractions as an extreme example:
and
The difference between numerator and denominator is the same for both fractions, as you can see. There's no doubt, though, that the first fraction is very close to 1, unlike the second one. So, having in mind the same difference between numerators and denominators of the fractions in the answer choices, the greater numerator (denominator) of the fraction, the greater the fraction.
Hope this helps . Thanks for elaborating, this actually helps a lot



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Re: GMAT Diagnostic Test Question 7 [#permalink]
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10 Aug 2009, 09:24
Welcome to the forum, shaknon! We hope you like our community and will become an active participant . Good luck with your GMAT journey! shaknon wrote: Quote: You might think of these two fractions as an extreme example:
and
The difference between numerator and denominator is the same for both fractions, as you can see. There's no doubt, though, that the first fraction is very close to 1, unlike the second one. So, having in mind the same difference between numerators and denominators of the fractions in the answer choices, the greater numerator (denominator) of the fraction, the greater the fraction.
Hope this helps . Thanks for elaborating, this actually helps a lot
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Re: GMAT Diagnostic Test Question 7 [#permalink]
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1876452/1876455 = 1876455/1876455  3/1876455 = 1 3/1876455 1883456/1883459 = 1883459/1883459  3/1883459 = 1 3/1883459 1883491/1883494 = 1883494/1883494  3/1883494 = 1 3/1883494 = LARGEST (3/1883494  SMALLEST) 1883446/1883449 = 1883449/1883449  3/1883449 = 1 3/1883449 1883453/1883456 = 1883456/1883456  3/1883456 = 1 3/1883456
Last edited by manojmakkatt on 22 Nov 2009, 08:14, edited 1 time in total.



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Re: GMAT Diagnostic Test Question 7 [#permalink]
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18 Sep 2009, 15:51
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I doubt the actual GMAT would ever arrange the answer choices in such order.
It would most likely do such as:
a. 1876452/1876455 b. 1876456/1876459 c. 1876460/1876463 d. 1876464/1876467 e. 1876468/1876471



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Re: GMAT Diagnostic Test Question 7 [#permalink]
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In general,
we can see in each variant regularity n/[n+3] = [n+33]/[n+3] = 13/[n+3].
So n/[n+3] is greatest when n is greatest. Two inverse dependences (1/[n] and n) give direct dependence.
The greatesr n = 1883491. And the best answer is C.



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Re: GMAT Diagnostic Test Question 7 [#permalink]
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08 Oct 2009, 22:17
linfongyu wrote: I doubt the actual GMAT would ever arrange the answer choices in such order.
It would most likely do such as:
a. 1876452/1876455 b. 1876456/1876459 c. 1876460/1876463 d. 1876464/1876467 e. 1876468/1876471 Thanks! That's right. Need to rearrange (though only one is 187...  others are 188...)
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Re: GMAT Diagnostic Test Question 7 [#permalink]
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Re: GMAT Diagnostic Test Question 7 [#permalink]
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09 Oct 2009, 06:28
dzyubam wrote: The answer is C. Guess its E. This spun me around for some time



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19 Dec 2009, 13:24
this is a good concept to learn. I got it wrong because I thought it's the other way around.



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Re: GMAT Diagnostic Test Question 7 [#permalink]
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14 Jan 2010, 20:41
My answer was D. I compared fractions. 2/5 was smaller than 6/9, 6/9 was greater than 3/6 & = to 6/9 but > than 1/4. I guess I should have known that the correct answer wouldn't be either of the numbers w/ 6/9. Still don't understand how it's E though..
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Re: GMAT Diagnostic Test Question 7 [#permalink]
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16 Feb 2010, 20:14
manojmakkatt wrote: 1876452/1876455 = 1876455/1876455  3/1876455 = 1 3/1876455 1883456/1883459 = 1883459/1883459  3/1883459 = 1 3/1883459 1883491/1883494 = 1883494/1883494  3/1883494 = 1 3/1883494 = LARGEST (3/1883494  SMALLEST) 1883446/1883449 = 1883449/1883449  3/1883449 = 1 3/1883449 1883453/1883456 = 1883456/1883456  3/1883456 = 1 3/1883456 if you look at it this way, it all makes sense seems like a piece of cake, however when you're doing it in a test, I for one, stump and get nervous and just counting seconds on my mind when handing too many similar looking numbers like this one. anyone has a tip for me in how to go about taking control of this stress? also does anyone know how to go training your mind to thinking this way in the exam? thanks



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02 Apr 2010, 06:23
meganbaxter1 wrote: manojmakkatt wrote: 1876452/1876455 = 1876455/1876455  3/1876455 = 1 3/1876455 1883456/1883459 = 1883459/1883459  3/1883459 = 1 3/1883459 1883491/1883494 = 1883494/1883494  3/1883494 = 1 3/1883494 = LARGEST (3/1883494  SMALLEST) 1883446/1883449 = 1883449/1883449  3/1883449 = 1 3/1883449 1883453/1883456 = 1883456/1883456  3/1883456 = 1 3/1883456 if you look at it this way, it all makes sense seems like a piece of cake, however when you're doing it in a test, I for one, stump and get nervous and just counting seconds on my mind when handing too many similar looking numbers like this one. anyone has a tip for me in how to go about taking control of this stress? also does anyone know how to go training your mind to thinking this way in the exam? thanks The only way I know is to practice, practice, and practice; that way, you become familiar with a lot of concepts tested on the exam, and your confidence level boosts while, at the same time, your time of solving questions shrinks...
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Re: GMAT Diagnostic Test Question 7 [#permalink]
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When I see this question, I see: \(\frac{1}{2}<\frac{3}{4}<\frac{5}{6}....\) as the denominator gets larger, the fraction gets closer to 1
So not too difficult ..600 level



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Re: GMAT Diagnostic Test Question 7 [#permalink]
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Guys, not sure if this has been said before, but I noticed this mistake (at least it appears to me as a mistake) in the OE: Uploaded with ImageShack.usThe fifth fraction has the biggest numerator, not the third. I hope this helps. Awesome job, by the way, guys!
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Re: GMAT Diagnostic Test Question 7 [#permalink]
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09 Dec 2010, 13:43
Thank you. I will correct that. +1 MisterEko wrote: Guys, not sure if this has been said before, but I noticed this mistake (at least it appears to me as a mistake) in the OE: Uploaded with ImageShack.usThe fifth fraction has the biggest numerator, not the third. I hope this helps. Awesome job, by the way, guys!
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