 It is currently 22 May 2019, 15:03 ### 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 multiples of 15 and a < b < c  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 112

Kudos [?]: 1856 , given: 397

a, b, and c are multiples of 15 and a < b < c [#permalink]
Expert's post 00:00

Question Stats: 69% (01:08) correct 30% (00:47) wrong based on 33 sessions
a, b, and c are multiples of 15 and a < b < c

 Quantity A Quantity B The remainder when b is divided by c The remainder when (b + c) is divided by a

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.

Drill 2
Question: 2
Page: 290
[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

GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 112

Kudos [?]: 1856 , given: 397

Re: a, b, and c are multiples of 15 and a < b < c [#permalink]
Expert's post
Explanation

Try Plugging In. If a = 15, b = 30, and c = 60, Quantity A is 30 because c cannot divide into b even one time. Quantity B is 0 because 90 divided by 15 has no remainder. Eliminate choices (B) and (C).

Try a new set of numbers to further narrow your choices. If a = 30, b = 45, and c = 120, Quantity A is 45, and Quantity B is 15. The answer is choice A.
_________________

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

Try our free Online GRE Test

Manager Joined: 27 Sep 2017
Posts: 112
Followers: 1

Kudos [?]: 30 , given: 4

Re: a, b, and c are multiples of 15 and a < b < c [#permalink]
sandy wrote:
Explanation

Try Plugging In. If a = 15, b = 30, and c = 60, Quantity A is 30 because c cannot divide into b even one time. Quantity B is 0 because 90 divided by 15 has no remainder. Eliminate choices (B) and (C).

Try a new set of numbers to further narrow your choices. If a = 30, b = 45, and c = 120, Quantity A is 45, and Quantity B is 15. The answer is choice A.

When it comes to this question, don't we need to consider negative numbers?

If we do, what the result will be?
GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 112

Kudos [?]: 1856 , given: 397

Re: a, b, and c are multiples of 15 and a < b < c [#permalink]
Expert's post
This is a good question..

All the questions I have encountered have positive numbers when asking for remainder.

Remainder is a positive number. So Say $$-11 \div 5$$ has a remainder of 4 not -1.

Let me look around and get back to you on this one.
_________________

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

Try our free Online GRE Test

Intern Joined: 27 Aug 2018
Posts: 1
Followers: 0

Kudos [?]: 0 , given: 0

Re: a, b, and c are multiples of 15 and a < b < c [#permalink]
when dealing with these types of questions we usually consider negative numbers as well. So why we are not considering negative numbers in this question? GRE Instructor Joined: 10 Apr 2015
Posts: 1751
Followers: 58

Kudos [?]: 1668  , given: 8

Re: a, b, and c are multiples of 15 and a < b < c [#permalink]
2
This post received
KUDOS
Expert's post
sandy wrote:
a, b, and c are multiples of 15 and a < b < c

 Quantity A Quantity B The remainder when b is divided by c The remainder when (b + c) is divided by a

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.

Drill 2
Question: 2
Page: 290

Remainder rule:
When positive integer N is divided by positive integer D, the remainder R is such that 0 ≤ R < D
For example, if we divide some positive integer by 7, the remainder will be 6, 5, 4, 3, 2, 1, or 0

QUANTITY A: The remainder when b is divided by c
Since c is greater than b, we know that: b divided by c equals zero with remainder b
For example, 30 divided by 75 equals 0 with remainder 30
So, QUANTITY A = b

QUANTITY B: The remainder when (b + c) is divided by a
According to the above rule, the remainder must be LESS THAN a
So, QUANTITY B = some number less than a

We have:
QUANTITY A: b
QUANTITY B: some number less than a
Since we are told that a < b < c, we can see that Quantity A is greater.

Answer: A

RELATED VIDEO FROM OUR COURSE

_________________

Brent Hanneson – Creator of greenlighttestprep.com Sign up for my free GRE Question of the Day emails Re: a, b, and c are multiples of 15 and a < b < c   [#permalink] 27 Aug 2018, 10:16
Display posts from previous: Sort by

# a, b, and c are multiples of 15 and a < b < c  Question banks Downloads My Bookmarks Reviews Important topics  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®.