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

It is currently 11 Dec 2018, 13:13

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51100
M25-15  [#permalink]

Show Tags

New post 16 Sep 2014, 00:23
1
16
00:00
A
B
C
D
E

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. \(\frac{3453}{3458}\)

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51100
Re M25-15  [#permalink]

Show Tags

New post 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:
\(\frac{3252}{3257}=1-\frac{5}{3257}\)
\(\frac{3456}{3461}=1-\frac{5}{3461}\)
\(\frac{3591}{3596}=1-\frac{5}{3596}\)
\(\frac{3346}{3351}=1-\frac{5}{3351}\)
\(\frac{3453}{3458}=1-\frac{5}{3458}\)

Hence the answer is C.


Answer: C
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
avatar
Joined: 07 Dec 2009
Posts: 92
GMAT Date: 12-03-2014
GMAT ToolKit User Premium Member
Re: M25-15  [#permalink]

Show Tags

New post 13 Dec 2014, 12:44
1
Hi Bunuel,

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

Thanks
Manager
Manager
avatar
Joined: 14 Jul 2014
Posts: 93
Re: M25-15  [#permalink]

Show Tags

New post 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
Manager
avatar
Joined: 28 Dec 2013
Posts: 68
Re M25-15  [#permalink]

Show Tags

New post 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
Manager
avatar
Joined: 02 Jul 2015
Posts: 106
Schools: ISB '18
GMAT 1: 680 Q49 V33
Re: M25-15  [#permalink]

Show Tags

New post 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

I'll try to help you out on this one.
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
Manager
User avatar
B
Joined: 26 Mar 2016
Posts: 73
Location: Greece
GMAT 1: 710 Q51 V34
GPA: 2.9
Reviews Badge
Re: M25-15  [#permalink]

Show Tags

New post 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
Intern
avatar
B
Joined: 26 May 2016
Posts: 20
GMAT 1: 640 Q49 V30
Re: M25-15  [#permalink]

Show Tags

New post 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
Intern
avatar
B
Joined: 30 Oct 2016
Posts: 2
Premium Member
Re: M25-15  [#permalink]

Show Tags

New post 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
avatar
P
Joined: 21 Aug 2013
Posts: 1412
Location: India
Premium Member
Re: M25-15  [#permalink]

Show Tags

New post 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.

Hence C is the answer
BSchool Forum Moderator
User avatar
S
Joined: 23 May 2018
Posts: 279
Location: Pakistan
GMAT 1: 770 Q48 V50
GPA: 3.4
Premium Member CAT Tests
Re: M25-15  [#permalink]

Show Tags

New post 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
Manager
User avatar
G
Joined: 20 Apr 2018
Posts: 175
Concentration: Technology, Nonprofit
WE: Analyst (Non-Profit and Government)
Premium Member
Re: M25-15  [#permalink]

Show Tags

New post 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
Manager
avatar
S
Joined: 25 Jul 2017
Posts: 94
Re: M25-15  [#permalink]

Show Tags

New post 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
Senior Manager
User avatar
S
Joined: 08 Aug 2017
Posts: 280
Re: M25-15  [#permalink]

Show Tags

New post 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.

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

M25-15

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Moderators: chetan2u, Bunuel



cron
Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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®.