It is currently 18 Nov 2018, 04:29
My 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.

a, b, and c are positive

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1613 [0], given: 375

CAT Tests
a, b, and c are positive [#permalink] New post 10 Jun 2018, 05:20
Expert's post
00:00

Question Stats:

65% (00:12) correct 35% (00:26) wrong based on 20 sessions
a, b, and c are positive

Quantity A
Quantity B
(a + b)% of c
c% of (a + b)


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Intern
Intern
Joined: 21 Nov 2017
Posts: 33
Followers: 0

Kudos [?]: 6 [0], given: 0

Re: a, b, and c are positive [#permalink] New post 13 Jun 2018, 18:29
a,b,c > 0

Quantity A = (a+b)%*c
Quantity B = c%*(a+b) =(a+b)*c%

--> A = B

Key: C
Manager
Manager
Joined: 22 Feb 2018
Posts: 90
Followers: 2

Kudos [?]: 65 [0], given: 9

Re: a, b, and c are positive [#permalink] New post 13 Jun 2018, 20:18
Answer: D
A: (a + b) % c
B: c % (a + b)
If a+b = c or : A and B are equal.
If a+b < c : A is equal to a+b and B is equal to c mod a+b. So B is bigger.
If a+b > c : A is equal to a+b mod c and B is equal to c. So A is bigger.

We can apply different values to see this as well.
The answer is D.
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1613 [0], given: 375

CAT Tests
Re: a, b, and c are positive [#permalink] New post 14 Jun 2018, 04:26
Expert's post
FatemehAsgarinejad wrote:
Answer: D
A: (a + b) % c
B: c % (a + b)
If a+b = c or : A and B are equal.
If a+b < c : A is equal to a+b and B is equal to c mod a+b. So B is bigger.
If a+b > c : A is equal to a+b mod c and B is equal to c. So A is bigger.

We can apply different values to see this as well.
The answer is D.


Lets examine by plugging values in this case a=10 b=30 and c=30

Quantity A is (20+30)% of 30 or \(\frac{50}{100} \times 30\)

Quantity B is 30% of (20+30) or \(\frac{30}{100} \times 50\)

See in both cases the numerator and the denominator is always the same i.e \(30 \times 50\) and \(100\) respectively.

The answer is indeed C.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1613 [0], given: 375

CAT Tests
Re: a, b, and c are positive [#permalink] New post 14 Jul 2018, 04:55
Expert's post
Explanation

It is always the case that, for two positive quantities, M% of N = N% of M. In this case, (a + b) makes the problem appear more complicated, but the principle still applies. Algebraically:

Quantity A : \(\frac{a+b}{100}\times c\)

Quantity B: \(\frac{c}{100}\times (a+b)\)


Both quantities can be simplified to \(\frac{(a+b) \times c}{100}\). The two quantities are equal.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Re: a, b, and c are positive   [#permalink] 14 Jul 2018, 04:55
Display posts from previous: Sort by

a, b, and c are positive

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.