Find all School-related info fast with the new School-Specific MBA Forum

It is currently 13 Feb 2016, 14:42
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

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

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Intern
Intern
avatar
Joined: 04 Aug 2010
Posts: 21
Followers: 0

Kudos [?]: 23 [1] , given: 10

Two fractions are inserted between 1/4 and 1/2 so that the [#permalink] New post 23 Aug 2010, 14:03
1
This post received
KUDOS
10
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

71% (03:02) correct 29% (02:20) wrong based on 199 sessions
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

[Reveal] Spoiler:
My ans is 16/12
but OA is 18/12...
Can someone please explain the OA.....
[Reveal] Spoiler: OA
Expert Post
4 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 31304
Followers: 5365

Kudos [?]: 62562 [4] , given: 9457

Re: fractions.... [#permalink] New post 23 Aug 2010, 14:23
4
This post received
KUDOS
Expert's post
2
This post was
BOOKMARKED
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 \(\frac{first \ term + last \ term}{2}*(# \ of \ terms)\) --> \(sum=\frac{\frac{1}{4}+\frac{1}{2}}{2}*4=(\frac{1}{4}+\frac{1}{2})*2=\frac{3}{2}\).

Answer: A.
_________________

New to the Math Forum?
Please read this: 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

3 KUDOS received
Manager
Manager
avatar
Joined: 26 Feb 2012
Posts: 116
Location: India
Concentration: General Management, Finance
WE: Engineering (Telecommunications)
Followers: 0

Kudos [?]: 16 [3] , given: 56

Re: fractions.... [#permalink] New post 05 May 2013, 19:14
3
This post received
KUDOS
1
This post was
BOOKMARKED
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
2 KUDOS received
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)
Followers: 0

Kudos [?]: 8 [2] , given: 0

Re: Two fractions are inserted between 1/4 and 1/2 so that the [#permalink] New post 25 May 2013, 04:45
2
This post received
KUDOS
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. :)
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 31304
Followers: 5365

Kudos [?]: 62562 [0], given: 9457

Re: fractions.... [#permalink] New post 05 May 2013, 22:02
Expert's post
Intern
Intern
User avatar
Joined: 06 Jan 2013
Posts: 24
GPA: 3
WE: Engineering (Transportation)
Followers: 0

Kudos [?]: 33 [0], given: 9

GMAT ToolKit User
Re: fractions.... [#permalink] 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.

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 8238
Followers: 419

Kudos [?]: 111 [0], given: 0

Top 10 in overall
Re: Two fractions are inserted between 1/4 and 1/2 so that the [#permalink] New post 22 Jun 2014, 23:02
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

SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1854
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 31

Kudos [?]: 1363 [0], given: 193

Re: Two fractions are inserted between 1/4 and 1/2 so that the [#permalink] New post 26 Jun 2014, 01:46
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 :)

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 8238
Followers: 419

Kudos [?]: 111 [0], given: 0

Top 10 in overall
Re: Two fractions are inserted between 1/4 and 1/2 so that the [#permalink] New post 15 Aug 2015, 02:29
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

Re: Two fractions are inserted between 1/4 and 1/2 so that the   [#permalink] 15 Aug 2015, 02:29
    Similar topics Author Replies Last post
Similar
Topics:
21 Experts publish their posts in the topic The last digit of 12^12 + 13^13 – 14^14×15^15 = Bunuel 10 22 Apr 2015, 02:27
Experts publish their posts in the topic 12 + 13 + 14 + ... 51 + 52 + 53 = ? sagnik2422 4 22 Jul 2014, 08:26
Experts publish their posts in the topic Which of the following fractions is equal to 0.12? Gnpth 2 12 Jun 2014, 06:21
1 Experts publish their posts in the topic Fractions aiming4mba 2 22 Jul 2010, 21:19
2 Fractions Jinglander 2 16 Jul 2010, 12:22
Display posts from previous: Sort by

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

  Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group and phpBB SEO

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®.