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

It is currently 19 Nov 2018, 04:18

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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • How to QUICKLY Solve GMAT Questions - GMAT Club Chat

     November 20, 2018

     November 20, 2018

     09:00 AM PST

     10:00 AM PST

    The reward for signing up with the registration form and attending the chat is: 6 free examPAL quizzes to practice your new skills after the chat.
  • The winning strategy for 700+ on the GMAT

     November 20, 2018

     November 20, 2018

     06:00 PM EST

     07:00 PM EST

    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.

The ratio of a to b is 4 to 5, where a and b are positive. If x equals

  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: 50666
The ratio of a to b is 4 to 5, where a and b are positive. If x equals  [#permalink]

Show Tags

New post 03 Feb 2015, 08:49
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

75% (01:37) correct 25% (01:53) wrong based on 218 sessions

HideShow timer Statistics

The ratio of a to b is 4 to 5, where a and b are positive. If x equals a increased by 25 percent of a, and m equals b decreased by 20 percent of b, what is the value of m/x?

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


Kudos for a correct solution.

_________________

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

Intern
Intern
User avatar
Joined: 25 May 2014
Posts: 46
GMAT ToolKit User Reviews Badge
Re: The ratio of a to b is 4 to 5, where a and b are positive. If x equals  [#permalink]

Show Tags

New post 03 Feb 2015, 09:03
1
x equals a increased by 25 percent of a => x = a + 25%a = 1.25a
m equals b decreased by 20 percent of b => m = b - 20%b = 0.8b
m/x = 0.8b/1.25a
Putting the value of b/a = 5/4 we get m/x = 4/5
[C]
_________________

Never Try Quitting, Never Quit Trying

Manager
Manager
User avatar
Joined: 18 Aug 2014
Posts: 119
Location: Hong Kong
Schools: Mannheim
Re: The ratio of a to b is 4 to 5, where a and b are positive. If x equals  [#permalink]

Show Tags

New post 03 Feb 2015, 09:30
1
x = 1,25 a
m = b+*0,8

A:B
4:5

0.8 * 5/9 = 8/10 * 5/9 = 4/9
1,25 * 4/9 = 125/100 * 4/9 = 5/9

>> m/x = 4:5 --> Answer C
Intern
Intern
User avatar
Joined: 19 Sep 2014
Posts: 21
Concentration: Finance, Economics
GMAT Date: 05-05-2015
GMAT ToolKit User
Re: The ratio of a to b is 4 to 5, where a and b are positive. If x equals  [#permalink]

Show Tags

New post 03 Feb 2015, 18:31
1
Bunuel wrote:
The ratio of a to b is 4 to 5, where a and b are positive. If x equals a increased by 25 percent of a, and m equals b decreased by 20 percent of b, what is the value of m/x?

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


Kudos for a correct solution.


From the question stem we can see that a:b is 4:5... which is the same as a/b = 4/5. x = a + 0.25a = 1.25a, this is the same as 5/4*(a). m = b - 0.2b = 0.8b, this is the same as 4/5*(b).

m/x = (4/5*(b))/(5/4*(a))..... is equal to (4b/5)/(5a/4).......this gives us (4b/5)*(4/5a) = (16b)/(25)a. (16b)/(25a) = (16/25)*(b/a) = (16/25)*(5/4) = 4/5.

I think the answer is C.

Please consider giving me KUDOS if you felt this post was helpful! Thanks. :)
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50666
Re: The ratio of a to b is 4 to 5, where a and b are positive. If x equals  [#permalink]

Show Tags

New post 09 Feb 2015, 03:52
Bunuel wrote:
The ratio of a to b is 4 to 5, where a and b are positive. If x equals a increased by 25 percent of a, and m equals b decreased by 20 percent of b, what is the value of m/x?

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


Kudos for a correct solution.


VERITAS PREP OFFICIAL SOLUTION:

The correct response is (C). In multi-step problems with numerous variables, it’s a good idea to pick numbers. Since the ratio of a to b is 4 to 5 and a and b are positive, let’s say a = 4 and b = 5. Now we can translate the rest of the problem from English into algebra: “x equals a increased by 25 percent of a” x = 4 + .25(4) x = 4 + 1 x = 5 “m equals b decreased by 20 percent of b” m = 5 – .20(5) m = 5 – 1 m = 4 Therefore, m/x = 4/5.
_________________

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

Intern
Intern
avatar
B
Joined: 20 Apr 2017
Posts: 13
Location: Bangladesh
GPA: 3.74
Re: The ratio of a to b is 4 to 5, where a and b are positive. If x equals  [#permalink]

Show Tags

New post 14 Jun 2017, 21:59
Bunuel wrote:
The ratio of a to b is 4 to 5, where a and b are positive. If x equals a increased by 25 percent of a, and m equals b decreased by 20 percent of b, what is the value of m/x?

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


Kudos for a correct solution.


X = 4* 125/100 = 5
M = 5* 80/100 = 4

Ratio = 4/5
Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4224
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: The ratio of a to b is 4 to 5, where a and b are positive. If x equals  [#permalink]

Show Tags

New post 15 Jun 2017, 07:27
Bunuel wrote:
The ratio of a to b is 4 to 5, where a and b are positive. If x equals a increased by 25 percent of a, and m equals b decreased by 20 percent of b, what is the value of m/x?

A. 2/5
B. 3/4
C. 4/5
D. 5/4
E. 3/2
Kudos for a correct solution.


a = 4 & b = 5

Quote:
If x equals a increased by 25 percent of a


x = 5

Quote:
m equals b decreased by 20 percent of b


m = 4

Quote:
what is the value of m/x?

\(\frac{4}{5}\)

Thus, answer will be (C) \(\frac{4}{5}\)
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: The ratio of a to b is 4 to 5, where a and b are positive. If x equals  [#permalink]

Show Tags

New post 06 Jul 2017, 16:27
Bunuel wrote:
The ratio of a to b is 4 to 5, where a and b are positive. If x equals a increased by 25 percent of a, and m equals b decreased by 20 percent of b, what is the value of m/x?

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


We are given that a : b = 4n : 5n.

We are also given that x equals a increased by 25 percent of a, and thus:

x = a + 0.25a

x = 1.25a

x = 1.25(4n)

x = 5n

We are also given that m equals b decreased by 20 percent of b, and thus:

m = b - 0.2b

m = 0.8b

m = 0.8(5n)

m = 4n

Thus, m/x = 4n/5n = 4/5.

Answer: C
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 8823
Premium Member
Re: The ratio of a to b is 4 to 5, where a and b are positive. If x equals  [#permalink]

Show Tags

New post 16 Sep 2018, 20:52
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: The ratio of a to b is 4 to 5, where a and b are positive. If x equals &nbs [#permalink] 16 Sep 2018, 20:52
Display posts from previous: Sort by

The ratio of a to b is 4 to 5, where a and b are positive. If x equals

  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®.