GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 11 Dec 2018, 13:13

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

## Events & Promotions

###### Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Free GMAT Prep Hour

December 11, 2018

December 11, 2018

09:00 PM EST

10:00 PM EST

Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.
• ### The winning strategy for 700+ on the GMAT

December 13, 2018

December 13, 2018

08:00 AM PST

09:00 AM PST

What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.

# M25-15

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51100

### Show Tags

16 Sep 2014, 00:23
1
16
00:00

Difficulty:

25% (medium)

Question Stats:

64% (00:44) correct 36% (00:47) wrong based on 324 sessions

### HideShow timer Statistics

Which of the following fractions is the largest?

A. $$\frac{3252}{3257}$$
B. $$\frac{3456}{3461}$$
C. $$\frac{3591}{3596}$$
D. $$\frac{3346}{3351}$$
E. $$\frac{3453}{3458}$$

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 51100

### Show Tags

16 Sep 2014, 00:23
2
2
Official Solution:

Which of the following fractions is the largest?

A. $$\frac{3252}{3257}$$
B. $$\frac{3456}{3461}$$
C. $$\frac{3591}{3596}$$
D. $$\frac{3346}{3351}$$
E. $$\frac{3453}{3458}$$

In each fraction, the denominator is greater than the numerator by 5. Consider:
$$\frac{3252}{3257}=1-\frac{5}{3257}$$
$$\frac{3456}{3461}=1-\frac{5}{3461}$$
$$\frac{3591}{3596}=1-\frac{5}{3596}$$
$$\frac{3346}{3351}=1-\frac{5}{3351}$$
$$\frac{3453}{3458}=1-\frac{5}{3458}$$

_________________
Manager
Joined: 07 Dec 2009
Posts: 92
GMAT Date: 12-03-2014

### Show Tags

13 Dec 2014, 12:44
1
Hi Bunuel,

Is there a Particular way to approach this kind of a question ?

Thanks
Manager
Joined: 14 Jul 2014
Posts: 93

### Show Tags

28 Dec 2014, 23:21
2
bhatiavai wrote:
Hi Bunuel,

Is there a Particular way to approach this kind of a question ?

Thanks

I think the foll is the approach that Bunuel has used. I used the same

Larger No = 1 - Smaller No

Using the above method, compare all the fractions:

You'll see that 5/3596 is the smallest fraction -- Same Numerator, Greatest Denominator.

Hence the Largest no. = 1 - Smallest fraction

Ans: C
Manager
Joined: 28 Dec 2013
Posts: 68

### Show Tags

04 Nov 2015, 14:56
I think this the explanation isn't clear enough, please elaborate. Please let me know in further detail how we solve, is it because the right answer has the largest denominator? Also where does the 1 come from?
Manager
Joined: 02 Jul 2015
Posts: 106
Schools: ISB '18
GMAT 1: 680 Q49 V33

### Show Tags

07 Dec 2015, 05:16
sagnik242 wrote:
I think this the explanation isn't clear enough, please elaborate. Please let me know in further detail how we solve, is it because the right answer has the largest denominator? Also where does the 1 come from?

Hi

If the numerator remains the same, then larger the denominator, lesser is the value of the fraction (as there is an inverse relationship between the two).

Consider this; x= a-b
Keeping a constant, larger the value of b, smaller is the value of x and vice versa.

Combining the above two concepts we get

x(answer of the our question)= 1- fraction
As numerator 5 is constant, larger denominator will give lower value fraction.
Hence one with the highest denominator will have the highest value.
Manager
Joined: 26 Mar 2016
Posts: 73
Location: Greece
GMAT 1: 710 Q51 V34
GPA: 2.9

### Show Tags

14 Jun 2016, 09:15
1
I think that this isnt the right approach. The straight math thing 1- Smallest Number.
As long as all of the fractions have something in common: denominator- numerator=5
we will select the fraction with the largest number as a numerator which is clearly C.

That's a 20 sec question.
_________________

+1 Kudos if you like the post

Intern
Joined: 26 May 2016
Posts: 20
GMAT 1: 640 Q49 V30

### Show Tags

02 May 2017, 04:00
1
Bunuel wrote:
Which of the following fractions is the largest?

A. $$\frac{3252}{3257}$$
B. $$\frac{3456}{3461}$$
C. $$\frac{3591}{3596}$$
D. $$\frac{3346}{3351}$$
E. $$\frac{3453}{3458}$$

consider 1/6 = 1/(1+5) = little over 0.1
2/7 = 2/(2+5) = little over 0.2
3/8 = 3/(3+5) = little over 0.3

i.e. the one with the greatest numerator is the largest. hence C is the answer.
Intern
Joined: 30 Oct 2016
Posts: 2

### Show Tags

25 May 2017, 19:05
My approach was

The pattern is x/(x+5), to find the largest.
If we invert its (x+5)/x, and inverted value should be smallest
i,e 1 + 5/x should be smallest, in that case x should be highest , the highest value in numerator is C
DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1412
Location: India

### Show Tags

25 May 2017, 20:48
1
Well, if we have a number of proper positive fractions (numerator < denominator), such that difference between the numerator and denominator for each of them be the same:- then, the one with the highest numerator will have the highest value.

Eg, lets consider 5 positive proper fractions:

a/(a+x), b/(b+x), c/(c+x), d/(d+x), e/(e+x)

where x is obviously a positive number.

Now, out of all the numerators, if a<b<c<d<e, Then:

definitely: a/(a+x) < b/(b+x) < c/(c+x) < d/(d+x) < e/(e+x)

Applying the same to our question, we can see that each option is a positive proper fraction where difference between numerator and denominator is 5.
So the one with highest numerator will have the highest value.

BSchool Forum Moderator
Joined: 23 May 2018
Posts: 279
Location: Pakistan
GMAT 1: 770 Q48 V50
GPA: 3.4

### Show Tags

18 Jun 2018, 06:07
This one was pretty easy.
_________________

If you can dream it, you can do it.

Practice makes you perfect.

Kudos are appreciated.

Manager
Joined: 20 Apr 2018
Posts: 175
Concentration: Technology, Nonprofit
WE: Analyst (Non-Profit and Government)

### Show Tags

18 Jun 2018, 07:41
All the numbers fit the function, f(x) = x/x+5
If you think about it, this is a function which approaches 1 as x increases and tends to infinity. This is an increasing function (for x > -1), so for a higher value of x, f(x) will be higher. Option C has the highest value of x. Hence, C.
Manager
Joined: 25 Jul 2017
Posts: 94

### Show Tags

18 Jun 2018, 22:09
Bunuel wrote:
Which of the following fractions is the largest?

A. $$\frac{3252}{3257}$$
B. $$\frac{3456}{3461}$$
C. $$\frac{3591}{3596}$$
D. $$\frac{3346}{3351}$$
E. $$\frac{3453}{3458}$$

It's a basically 10 Sec question.
If you see, the difference between numerator & denominator is 5 for all.
So any number which has the largest numerator must be the largest one.
3591 is the largest numerator among 5.
C is the answer (A 10 sec question)
Senior Manager
Joined: 08 Aug 2017
Posts: 280

### Show Tags

25 Jun 2018, 06:34
3252/3257 is proper fraction and adding positive integer K in numerator and denominator will shift the fraction towards 1. In C highest value of K= 339 is added. so C is most closest to 1 and, hence, highest value fraction.

Please give kudos if you like my explanation.
Re: M25-15 &nbs [#permalink] 25 Jun 2018, 06:34
Display posts from previous: Sort by

# M25-15

Moderators: chetan2u, Bunuel

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.