It is currently 24 Feb 2018, 21:42

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

Events & Promotions in June
Open Detailed Calendar

If a > b, how much greater than b is a ?

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

Hide Tags

Director
Director
User avatar
B
Status: I don't stop when I'm Tired,I stop when I'm done
Joined: 11 May 2014
Posts: 563
Location: Bangladesh
Concentration: Finance, Leadership
GPA: 2.81
WE: Business Development (Real Estate)
If a > b, how much greater than b is a ? [#permalink]

Show Tags

New post 27 Aug 2015, 10:46
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

69% (00:50) correct 31% (00:37) wrong based on 78 sessions

HideShow timer Statistics

If a > b, how much greater than b is a ?

(1) b is one-fourth the value of a.
(2) The sum of a and b is 100.
[Reveal] Spoiler: OA

_________________

Md. Abdur Rakib

Please Press +1 Kudos,If it helps
Sentence Correction-Collection of Ron Purewal's "elliptical construction/analogies" for SC Challenges

2 KUDOS received
SVP
SVP
User avatar
B
Joined: 06 Nov 2014
Posts: 1904
Re: If a > b, how much greater than b is a ? [#permalink]

Show Tags

New post 27 Aug 2015, 19:24
2
This post received
KUDOS
We have been given that a > b
We have been asked how much greater than b is a.
This simply means what is a - b.

Statement 1:
b = a/4
Hence, a - b = a - a/4 = 3a/4
But this does not gives us the value.
Not Sufficient

Statement 2:
a+b = 100
Not sufficient

Combining both the statements:
We can find the value of a and b seperately by combining the following equations:
b = a/4 and a+b = 100
Hence we can find the value of a-b.
Sufficient. Thus the answer is C
Expert Post
Math Revolution GMAT Instructor
User avatar
D
Joined: 16 Aug 2015
Posts: 4908
GPA: 3.82
If a > b, how much greater than b is a ? [#permalink]

Show Tags

New post 28 Aug 2015, 07:59
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and equations ensures a solution.


If a > b, how much greater than b is a ?

(1) b is one-fourth the value of a.
(2) The sum of a and b is 100.


==> since there are 2 variables in the original condition, to match the number of variables and you need 2 equations. Since there is 1 each in 1) and 2), the answer is likely C.
In actual calculation, we can get a+b = 100, b = a/4 from 1) & 2) and a = 4b, 4b + b = 5b = 100 ==> b = 20, a = 80. thus a- b = 80 - 20 = 60, therefore the answer is C.
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself
See our Youtube demo

Intern
Intern
avatar
Joined: 15 May 2013
Posts: 3
GMAT ToolKit User
Re: If a > b, how much greater than b is a ? [#permalink]

Show Tags

New post 26 Sep 2016, 00:00
OptimusPrepJanielle wrote:
We have been given that a > b
We have been asked how much greater than b is a.
This simply means what is a - b.



How can you tell that the question is asking for a value and not a percentage?

For instance, in terms of percentage greater, it would mean that we need to solve for (A-B)/B, which is equivalent to = (A/B) - 1

With item (1), we are told (B=A/4), so therefore rewritten it can be used to show the ratio (A/B) = 4. Therefore, in terms of percentage greater, (A/B)-1 = 3, or 300%

Wouldn't A is 300% greater than B be a valid answer, thus making Statement 1 Alone sufficient?
Senior Manager
Senior Manager
avatar
B
Joined: 05 Jan 2017
Posts: 434
Location: India
Premium Member
Re: If a > b, how much greater than b is a ? [#permalink]

Show Tags

New post 23 Feb 2017, 03:40
PROMPT ANALYSIS

a and b are real numbers with a greater than b

SUPER SET

The difference between b and a can be from zero to infinity

TRANSLATION

Since a and b are two variables, we need
The exact value of a and b
Two equation with only a and b s variable
Some characteristics of a and b that may narrow down the possible solution to only one.

STATEMENT ANALYSIS

St 1: a = 4b. Since b can take infinite possible values.NOT SUFFICIENT. Hence option a and d eliminated.
St 2: a+b = 100. A and b again can take infinite possible values. NOT SUFFICIENT. Hence option a, b and d is eliminated.

St1 & St 2: we have two equations and two variable. By solving, we get a =80, b = 20. Therefore, a - b = 60. SUFFICIENT. Option E eliminated.

Hence Option C is the answer.
Re: If a > b, how much greater than b is a ?   [#permalink] 23 Feb 2017, 03:40
Display posts from previous: Sort by

If a > b, how much greater than b is a ?

  new topic post reply 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 | 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®.