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

It is currently 16 Jan 2019, 20:56

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 January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • The winning strategy for a high GRE score

     January 17, 2019

     January 17, 2019

     08:00 AM PST

     09:00 AM PST

    Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
  • Free GMAT Strategy Webinar

     January 19, 2019

     January 19, 2019

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

Two fractions are inserted between 1/4 and 1/2 so that the

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

Hide Tags

 
Intern
Intern
avatar
Joined: 04 Aug 2010
Posts: 21
Two fractions are inserted between 1/4 and 1/2 so that the  [#permalink]

Show Tags

New post 23 Aug 2010, 14:03
3
27
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

70% (02:36) correct 30% (02:52) wrong based on 379 sessions

HideShow timer Statistics

Two fractions are inserted between 1/4 and 1/2 so that the difference between any two successive fractions is the same. Find the sum of the four fractions.

A. 18/12
B. 16/12
C. 5/2
D. 9/19
E. 24/32

My ans is 16/12
but OA is 18/12...
Can someone please explain the OA.....
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52164
Two fractions are inserted between 1/4 and 1/2 so that the  [#permalink]

Show Tags

New post 23 Aug 2010, 14:23
5
9
harithakishore wrote:
Two fractions are inserted between 1/4 and 1/2 so that the diffrence between any two successive fractions is the same. Find the sum of the four fractions.
A.18/12
B.16/12
C.5/2
D.9/19
E.24/32


My ans is 16/12
but OA is 18/12...
Can someone please explain the OA.....


As the difference of any two successive fractions is the same then we have evenly spaced set (arithmetic progression). Sum of the terms of AP is \(\frac{first \ term + last \ term}{2}*(number \ of \ terms)\) --> \(sum=\frac{\frac{1}{4}+\frac{1}{2}}{2}*4=(\frac{1}{4}+\frac{1}{2})*2=\frac{3}{2}\).

Answer: A.
_________________

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

Most Helpful Community Reply
Manager
Manager
avatar
Joined: 26 Feb 2012
Posts: 99
Location: India
Concentration: General Management, Finance
WE: Engineering (Telecommunications)
Re: fractions....  [#permalink]

Show Tags

New post 05 May 2013, 19:14
4
1
Hi Bunuel...

Can we solve it like in following procedure...

Let a/b and c/d two fraction..so the sequence 1/2,a/b,c/d,1/4

As given- 1/2-a/b=c/d-1/4=>a/b+c/d=3/4
Question ask us to find 1/2+a/b+c/d+1/4=>1/2+3/4+1/4=3/2 ans....

Rgds
Prasannajeet
General Discussion
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52164
Re: fractions....  [#permalink]

Show Tags

New post 05 May 2013, 22:02
prasannajeet wrote:
Hi Bunuel...

Can we solve it like in following procedure...

Let a/b and c/d two fraction..so the sequence 1/2,a/b,c/d,1/4

As given- 1/2-a/b=c/d-1/4=>a/b+c/d=3/4
Question ask us to find 1/2+a/b+c/d+1/4=>1/2+3/4+1/4=3/2 ans....

Rgds
Prasannajeet


Yes, that's correct.
_________________

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

Current Student
User avatar
Joined: 06 Jan 2013
Posts: 25
GPA: 4
WE: Engineering (Transportation)
GMAT ToolKit User
Re: fractions....  [#permalink]

Show Tags

New post 05 May 2013, 22:02
Let the fractions inserted b/w \(\frac{1}{4} & \frac{1}{2}\) be \(\frac{1}{x} and \frac{1}{y}\)We can easily calculate the value of \(\frac{1}{x}\) by:-
\(2(\frac{1}{x}-\frac{1}{4})=\frac{1}{2}-\frac{1}{x}\)Solving we get, \(\frac{1}{x}=\frac{1}{3}\)Also, \(\frac{2}{y}=\frac{1}{3}+\frac{1}{2}\)
Solving we get \(\frac{1}{y}=\frac{5}{12}\)Hence, the 4 fractions are \(\frac{1}{4}, \frac{1}{3}, \frac{5}{12} and \frac{1}{2}\)
The required sum is thus:-
\(sum=\frac{1}{4}+ \frac{1}{3}+ \frac{5}{12}+ \frac{1}{2}=\frac{18}{12}\)
_________________

If you shut your door to all errors, truth will be shut out.

Intern
Intern
avatar
Joined: 28 Feb 2013
Posts: 8
Location: India
Concentration: Strategy, Social Entrepreneurship
GMAT 1: 740 Q48 V42
GPA: 3.45
WE: General Management (Non-Profit and Government)
Re: Two fractions are inserted between 1/4 and 1/2 so that the  [#permalink]

Show Tags

New post 25 May 2013, 04:45
2
1
Think of this as 4 points on the number line...

(1/4).....(X).....(Y).....(1/2)

OR

(3/12)....(X).....(Y).....(6/12)

You can easily see that X & Y should be 4/12 and 5/12 respectively. Add and you'll get the sum as 3/2. :)
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1823
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: Two fractions are inserted between 1/4 and 1/2 so that the  [#permalink]

Show Tags

New post 26 Jun 2014, 01:46
1
Let the 2 fractions be a & b

\(\frac{1}{2}\) ........... a ............... b ................ \(\frac{1}{4}\)

\(\frac{1}{2} - a = a - b\)

\(a - b = b - \frac{1}{4}\)

Solving the above, we get

\(a = \frac{5}{12}\)

\(b = \frac{1}{3}\)

Addition

\(= \frac{1}{2} + \frac{5}{12} + \frac{1}{3} + \frac{1}{4}\)

\(= \frac{18}{12}\)

Answer = A
_________________

Kindly press "+1 Kudos" to appreciate :)

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9423
Premium Member
Re: Two fractions are inserted between 1/4 and 1/2 so that the  [#permalink]

Show Tags

New post 21 Apr 2018, 14:32
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: Two fractions are inserted between 1/4 and 1/2 so that the &nbs [#permalink] 21 Apr 2018, 14:32
Display posts from previous: Sort by

Two fractions are inserted between 1/4 and 1/2 so that the

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


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®.