Last visit was: 22 Nov 2024, 01:06 It is currently 22 Nov 2024, 01:06
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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 GRE 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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

a, b, and c are multiples of 15 and a < b < c

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
soumya1989
Director
Director
Joined: 16 May 2014
Posts: 592
Own Kudos [?]: 2047 [8]
Given Kudos: 0
GRE 1: Q165 V161
Send PM
GRE Math Challenge #8- a, b and c are multiple of 15 [#permalink] New post   05 Aug 2014, 03:42
1
Expert Reply
7
Bookmarks
00:00

Question Stats:

60% (01:09) correct 39% (01:22) wrong based on 221 sessions

Hide Show timer Statistics

a, b and c are multiples of 15, and 0 < 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.
ShowHide Answer
Official Answer
A
Most Helpful Community Reply
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12196 [6]
Given Kudos: 136
Send PM

Top Member of the Month
Re: GRE Math Challenge #8- a, b and c are multiple of 15 [#permalink] New post   21 Sep 2016, 04:57
6
Given: a < b < c

Quantity A: The remainder when b is divided by c
Notice that c is greater than b
So, b divided by c will equal 0 with remainder b
If this isn't 100% clear, here are a few examples.
4 divided by 6 equals 0 with remainder 4.
Likewise, 2 divided by 7 equals 0 with remainder 2.
So, we get.....
Quantity A: b


Quantity B: The remainder when (b + c) is divided by a
IMPORTANT CONCEPT
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
So, we can conclude that....
Quantity B: some integer that's less than a

Since it's given that a < b, we can be certain that quantity A is greater.

Answer:
Show: ::
A


RELATED VIDEO
General Discussion
avatar
mocafaj
Intern
Intern
Joined: 19 Sep 2016
Posts: 1
Own Kudos [?]: 0 [0]
Given Kudos: 0
Send PM
Re: GRE Math Challenge #8- a, b and c are multiple of 15 [#permalink] New post   19 Sep 2016, 10:03
hi

Is the answer 'A'.
can anyone please confirm.

Thanks
avatar
Saurabh03121992
Intern
Intern
Joined: 02 Jul 2016
Posts: 25
Own Kudos [?]: 17 [0]
Given Kudos: 0
Send PM
Re: GRE Math Challenge #8- a, b and c are multiple of 15 [#permalink] New post   19 Sep 2016, 10:41
I think the answer is D. I took 15,30 and 45 at first and here A is greater. But then I took 15, 30 and 150 30/150 leaves a quotient of 0.2 and a remainder of 0. Hence D
User avatar
sandy
Retired Moderator
Joined: 07 Jun 2014
Posts: 4812
Own Kudos [?]: 11194 [0]
Given Kudos: 0
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Send PM
a, b, and c are multiples of 15 and a < b < c [#permalink] New post   29 Oct 2016, 04:40
Expert Reply
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
User avatar
sandy
Retired Moderator
Joined: 07 Jun 2014
Posts: 4812
Own Kudos [?]: 11194 [0]
Given Kudos: 0
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Send PM
Re: a, b, and c are multiples of 15 and a < b < c [#permalink] New post   29 Oct 2016, 04:43
Expert Reply
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.
avatar
malihanajia
Intern
Intern
Joined: 06 Oct 2016
Posts: 7
Own Kudos [?]: 2 [0]
Given Kudos: 0
Send PM
Re: GRE Math Challenge #8- a, b and c are multiple of 15 [#permalink] New post   19 Dec 2016, 01:17
i think the answer will be D, when I take 15, 30, 45 then for the A quantity remainder will be 15, and for B is 0, then A is BIG, but if I take 15, 30, 150 ( i can take this, cause You didnt tell me that it will be consecutive multiples) then the remainder will be 0 for the quantity A and B, then the answer ll be D! Can you explain it?
avatar
Peter
Manager
Manager
Joined: 27 Sep 2017
Posts: 110
Own Kudos [?]: 82 [0]
Given Kudos: 0
Send PM
Re: a, b, and c are multiples of 15 and a < b < c [#permalink] New post   26 Mar 2018, 02:20
1
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?
User avatar
sandy
Retired Moderator
Joined: 07 Jun 2014
Posts: 4812
Own Kudos [?]: 11194 [0]
Given Kudos: 0
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Send PM
Re: a, b, and c are multiples of 15 and a < b < c [#permalink] New post   26 Mar 2018, 08:05
Expert Reply
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.
avatar
sania94
Intern
Intern
Joined: 27 Aug 2018
Posts: 1
Own Kudos [?]: 0 [0]
Given Kudos: 0
Send PM
Re: a, b, and c are multiples of 15 and a < b < c [#permalink] New post   27 Aug 2018, 07:45
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?
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12196 [0]
Given Kudos: 136
Send PM

Top Member of the Month
Re: a, b, and c are multiples of 15 and a < b < c [#permalink] New post   27 Aug 2018, 10:16
3
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
User avatar
arc601
Manager
Manager
Joined: 19 Nov 2018
Posts: 102
Own Kudos [?]: 158 [0]
Given Kudos: 0
Send PM

Top Member of the Month
Re: GRE Math Challenge #8- a, b and c are multiple of 15 [#permalink] New post   15 Sep 2019, 14:04
Given we use 15, 30 and 45 for our sample numbers we could have

A

\(\frac{30}{45}\) which, although not conventionally done, could be expressed as mixed fraction, like so:

\(0\frac{30}{45}\) which shows that 45 goes into 30 zero times and leaves a remainder of 30.

B

We have \(\frac{75}{15}\), which becomes

\(5\frac{0}{15}\), which shows that 15 goes into 75 five times and leaves 0 remainder.

We can see that the remainder for A(30) is greater than the remainder for B(0).
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12196 [0]
Given Kudos: 136
Send PM

Top Member of the Month
Re: GRE Math Challenge #8- a, b and c are multiple of 15 [#permalink] New post   16 Oct 2019, 06:53
1
IlCreatore wrote:

This is right instead. 0 divided by any number is 0 with remainder of zero and the definition of multiple does not forbid to look for negative multiples, unless stated we are using positive multiples. So the Answer should be D.

Does anybody have the OA/OE?


Good point. The question does not state that a, b and c are POSITIVE multiples.
I never noticed that the first time I read the question.

When it comes to remainder/divisibility questions on the GRE, there will always be some proviso that states the values are positive integers.
In my opinion, it's a bad question.

I'm going to edit the question so that it has the required provisos.

Cheers,
Brent
User avatar
S
tapas3016
Retired Moderator
Joined: 29 Mar 2020
Posts: 140
Own Kudos [?]: 330 [0]
Given Kudos: 24
Send PM
Re: a, b, and c are multiples of 15 and a < b < c [#permalink] New post   10 Jun 2020, 06:30
1
consider a=15, b=30, c=45

Quantity A = b/c = 30/45, Remainder = 30

Quantity B = (b+c)/a = 75/15, Remainder = 0

Quantity A is greater

option A should be the answer
avatar
jgastelor
Manager
Manager
Joined: 15 May 2020
Posts: 91
Own Kudos [?]: 75 [0]
Given Kudos: 0
Send PM
Re: a, b, and c are multiples of 15 and a < b < c [#permalink] New post   12 Jun 2020, 16:57
We have to remember that the remainder of a/c when a is less than c is equals to a.

With this condition. A = b, because b is less than c. And B = 0, because the remainder of the division of multiples of the same number is 0.

Since b is greater than 0, the correct answer is A.
avatar
B
mrunal2148
Intern
Intern
Joined: 11 Sep 2023
Posts: 43
Own Kudos [?]: 24 [0]
Given Kudos: 5
GRE 1: Q155 V141
Send PM
Reviews Badge
Re: a, b, and c are multiples of 15 and a < b < c [#permalink] New post   12 Oct 2023, 19:02
mocafaj wrote:
hi

Is the answer 'A'.
can anyone please confirm.

Thanks


yes correct
Prep Club for GRE Bot
gmatclubot
Re: a, b, and c are multiples of 15 and a < b < c [#permalink]
12 Oct 2023, 19:02
Moderators:
adewale223
GRE Instructor
84 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1111 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact