Find all School-related info fast with the new School-Specific MBA Forum
Learn more about the recent changes... close

It is currently 18 May 2013, 15:36
Customize  |  Hide

Search
Register
New posts
Unanswered

In last examination Roger scored marks in each of 5 subjects

  Question banks Downloads My Bookmarks Reviews  
  Oldest Best Reply
Search for:
 
Print view
First unread post
Author Message
TAGS:
Intern
Intern
Joined: 09 Feb 2012
Posts: 49
Followers: 0

Kudos [?]: 1 [0], given: 14

In last examination Roger scored marks in each of 5 subjects [#permalink] New post 04 Mar 2012, 07:34
00:00

Question Stats:

53% (02:00) correct 46% (00:47) wrong based on 0 sessions
In last examination Roger scored marks in each of 5 subjects in the following ratio 4:5:6:7:8 and got an overall score of 72%. If 50% of the maximum marks is passing and the maximum marks of each subject is the same, in how many subjects did Roger fail?

A. 1
B. 2
C. 3
D. 4
E. 5

Many thanks.
Have a great Sunday!
[Reveal] Spoiler: OA

Last edited by Bunuel on 04 Mar 2012, 08:08, edited 1 time in total.
Edited the question and moved to PS subforum
1 KUDOS received
GMAT Club team member
User avatar
Joined: 02 Sep 2009
Posts: 11506
Followers: 1791

Kudos [?]: 9526 [1] , given: 826

GMAT Tests User CAT Tests
Top Member of the Month
Re: Ratio question [#permalink] New post 04 Mar 2012, 08:07
1
This post received
KUDOS
In last examination Roger scored marks in each of 5 subjects in the following ratio 4:5:6:7:8 and got an overall score of 72%. If 50% of the maximum marks is passing and the maximum marks of each subject is the same, in how many subjects did Roger fail?

A. 1
B. 2
C. 3
D. 4
E. 5

Given: A:B:C:D:E=4x:5x:6x:7x:8x, for some multiple x. Assume the maximum marks of each subject to be y, so the the maximum marks of ALL 5 subjects will be 5y.

So, we have that 4x+5x+6x+7x+8x=\frac{72}{100}*5y --> 30x=\frac{72*5}{100}*y --> x=\frac{12}{100}*y. 4x=\frac{48}{100}*y and 5x=\frac{60}{100}*y, so in subject A Roger scored 48% (less than 50%) and in subject B 60% (more than 50%). Obviously in all other subjects Rogers scores will be higher than 50%.

Roger failed in only one subject A.

Answer: A.

P.S. Please post PS questions in the PS subforum: gmat-problem-solving-ps-140/ and DS questions in the DS subforum: gmat-data-sufficiency-ds-141/

No posting of PS/DS questions is allowed in the main Math forum.
_________________

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory

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. NEW!!!

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. NEW!!!


What are GMAT Club Tests?
25 extra-hard Quant Tests

Find out what's new at GMAT Club - latest features and updates

Intern
Intern
Joined: 09 Feb 2012
Posts: 49
Followers: 0

Kudos [?]: 1 [0], given: 14

Re: In last examination Roger scored marks in each of 5 subjects [#permalink] New post 04 Mar 2012, 08:17
Many thanks!!!

But I dont really get the step, to multiply with 5y

Could you please explain it to me.

Thanks!
GMAT Club team member
User avatar
Joined: 02 Sep 2009
Posts: 11506
Followers: 1791

Kudos [?]: 9526 [0], given: 826

GMAT Tests User CAT Tests
Top Member of the Month
Re: In last examination Roger scored marks in each of 5 subjects [#permalink] New post 04 Mar 2012, 08:41
NYC5648 wrote:
Many thanks!!!

But I dont really get the step, to multiply with 5y

Could you please explain it to me.

Thanks!


We are told that "the maximum marks of each subject is the same", say it's y, then the sum of the marks in all 5 subjects will be y+y+y+y+y=5y.

Hope it's clear.
_________________

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory

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. NEW!!!

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. NEW!!!


What are GMAT Club Tests?
25 extra-hard Quant Tests

Find out what's new at GMAT Club - latest features and updates

Senior Manager
Senior Manager
Joined: 18 Sep 2009
Posts: 373
Followers: 3

Kudos [?]: 17 [0], given: 2

GMAT Tests User
Re: In last examination Roger scored marks in each of 5 subjects [#permalink] New post 05 Mar 2012, 11:41
Hi bunnel

can you suggest any material for ratio and proportions. I have completed ratio and proportions in manhattan word translations, but still i need some extra practice

Thanks
GMAT Club team member
User avatar
Joined: 02 Sep 2009
Posts: 11506
Followers: 1791

Kudos [?]: 9526 [0], given: 826

GMAT Tests User CAT Tests
Top Member of the Month
Re: In last examination Roger scored marks in each of 5 subjects [#permalink] New post 05 Mar 2012, 11:59
TomB wrote:
Hi bunnel

can you suggest any material for ratio and proportions. I have completed ratio and proportions in manhattan word translations, but still i need some extra practice

Thanks


I can think of no material on this subject though below are some questions to practice:
PS questions on Fractions/Ratios/Decimals: search.php?search_id=tag&tag_id=36
DS questions on Fractions/Ratios/Decimals: search.php?search_id=tag&tag_id=57

Hope it helps.
_________________

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory

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. NEW!!!

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. NEW!!!


What are GMAT Club Tests?
25 extra-hard Quant Tests

Find out what's new at GMAT Club - latest features and updates

Intern
Intern
Joined: 08 Mar 2012
Posts: 4
Followers: 0

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

Re: In last examination Roger scored marks in each of 5 subjects [#permalink] New post 20 Mar 2012, 21:37
I did this by picking numbers.
Say the max mark in each subject is 100.
Then I can directly know that Roger scored 40,50,60,70,80.
Since passing mark is 50% of max mark => passing mark = 50.
Thus Roger failed in only 1 subject, where he scored 40.

Answer A.
Manager
Manager
Joined: 07 Dec 2011
Posts: 174
Location: India
Followers: 1

Kudos [?]: 25 [0], given: 24

Re: In last examination Roger scored marks in each of 5 subjects [#permalink] New post 23 Mar 2012, 04:48
took x as a percentage of score in an exam

(4x+5x+6x+7x+8x)5 =72 = avg percentage
6x=72
x = 12

therefore marks are 48%, 60% and so on and only the one value 48% is below the passing threshold of 50%. Hence, A.
Senior Manager
Senior Manager
Joined: 13 Mar 2012
Posts: 374
Concentration: Operations, Strategy
Followers: 1

Kudos [?]: 61 [0], given: 31

Re: In last examination Roger scored marks in each of 5 subjects [#permalink] New post 23 Mar 2012, 06:06
NYC5648 wrote:
In last examination Roger scored marks in each of 5 subjects in the following ratio 4:5:6:7:8 and got an overall score of 72%. If 50% of the maximum marks is passing and the maximum marks of each subject is the same, in how many subjects did Roger fail?

A. 1
B. 2
C. 3
D. 4
E. 5

Many thanks.
Have a great Sunday!


LET MAX MARKS BE Y

then (4+5+6+7+8)x=0.72*5y
=> 30x=3.6y
=> x=36y/300=3y/25
hence

4x= 4*3y/25=12y/25--> fail
5x--> pass
as all other scores are greater than 5x hence he passed in all

hence failed in 1 subject

option A
_________________

Practice Practice and practice...!!

If my reply /analysis is helpful-->please press KUDOS
If there's a loophole in my analysis--> suggest measures to make it airtight.

Re: In last examination Roger scored marks in each of 5 subjects   [#permalink] 23 Mar 2012, 06:06
    Similar topics Author Replies Last post
Similar
Topics:
 New posts In an examination, 35% candidates failed in one subject and maaverick 7 17 Mar 2005, 05:19
New posts In an examination, a minimum of marks is to be scored in anirban16 2 19 Mar 2005, 09:20
New posts Peter got 30% of the maximum marks in an examination and GMATT73 2 29 Oct 2005, 10:14
Popular new posts 6 Guessing Last 10 questions of each sectio - Score projection JoeSchmo 10 26 May 2008, 10:14
New posts For an examination, a score of 58 was two standard Poots 4 14 Oct 2008, 15:44
Display posts from previous: Sort by

In last examination Roger scored marks in each of 5 subjects

  Question banks Downloads My Bookmarks Reviews  
Print view
First unread post

Moderators: Bunuel, VeritasPrepKarishma, IanStewart

Search for:


GMAT Club MBA Forum Home| About| Privacy Policy| 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®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com