NEW HERE? LEARN MORE
closeclose
Last visit was: 29 Apr 2024, 09:39 It is currently 29 Apr 2024, 09:39
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

What is the remainder when -12 is divided by -5?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
MathRevolution
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10161
Own Kudos [?]: 16616 [9]
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Send PM
What is the remainder when -12 is divided by -5? [#permalink] New post   07 Mar 2019, 01:16
9
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

65% (hard)

Question Stats:

20% (00:31) correct 80% (00:37) wrong based on 120 sessions
Hide Show timer Statistics
What is the remainder when \(-12\) is divided by \(-5\)?

A. \(-3\)
B. \(-2\)
C. \(0\)
D. \(2\)
E. \(3\)­
ShowHide Answer
Official Answer
E
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93014
Own Kudos [?]: 619931 [1]
Given Kudos: 81630
Send PM
CAT Tests Forum Quiz Mode
Re: What is the remainder when -12 is divided by -5? [#permalink] New post   07 Mar 2019, 01:21
1
Bookmarks
Expert Reply
MathRevolution wrote:
[GMAT math practice question]

What is the remainder when \(-12\) is divided by \(-5\)?

\(A. -3\)
\(B. -2\)
\(C. 0\)
\(D. 2\)
\(E. 3\)


Just a note: ALL GMAT divisibility/remainder questions are limited to positive integers only.
avatar
B
kysb
Intern
Intern
Joined: 13 Sep 2018
Posts: 19
Own Kudos [?]: 12 [0]
Given Kudos: 21
Location: India
Mission : 750
Send PM
Re: What is the remainder when -12 is divided by -5? [#permalink] New post   07 Mar 2019, 04:47
Bunuel Gladiator59

Shouldn't it be D .

Because it says what number so it shuld 12 / 5 rem= 2 How E cause it does't says multiple of -5 :( other wise 15 -12 then rem = 3 would be possible Still confunsed :)

Regards
K.y.Shrenik Bimbsar
User avatar
D
Gladiator59
Director
Director
Joined: 16 Sep 2016
Status:It always seems impossible until it's done.
Posts: 645
Own Kudos [?]: 2056 [4]
Given Kudos: 174
GMAT 1: 740 Q50 V40
GMAT 2: 770 Q51 V42
Send PM
GMAT ToolKit User Reviews Badge
Re: What is the remainder when -12 is divided by -5? [#permalink] New post   07 Mar 2019, 08:14
2
Kudos
2
Bookmarks
Like Bunuel already mentioned - remainder questions on the GMAT exclusively deal with positive numbers only.

Still, the way we need to solve such a question is always remember that the remainder when dividing by |x| is always between 0 and X-1 (Inclusive) i.e remainder is always positive. ( By definition)

-12 = -5(n) + R
-12 = -5(3) + R
R = 15 - 12 = 3

Hence the remainder will be 3.

Or in other words, if you get a remainder of -2 ( which you will if you put n = 2 above) remember to arrive at 5 - 2 = 3 such that the remainder is always positive non-negative.

Hope this helps.

ShrenikBimbsar wrote:
Bunuel Gladiator59

Shouldn't it be D .

Because it says what number so it shuld 12 / 5 rem= 2 How E cause it does't says multiple of -5 :( other wise 15 -12 then rem = 3 would be possible Still confunsed :)

Regards
K.y.Shrenik Bimbsar
User avatar
L
MathRevolution
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10161
Own Kudos [?]: 16616 [2]
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Send PM
Re: What is the remainder when -12 is divided by -5? [#permalink] New post   10 Mar 2019, 18:21
1
Kudos
1
Bookmarks
Expert Reply
=>

If we can write \(A = BQ + R\) with \(0 ≤ R < |B|\), then \(R\) is the remainder when \(A\) is divided by \(B\).

\(-12 = (-5)*3 + 3\)

Thus, the remainder when \(-12\) is divided by \(-5\) is \(3\).

Therefore, the answer is E.
Answer: E
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32735
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: What is the remainder when -12 is divided by -5? [#permalink] New post   18 Mar 2024, 20:24
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 Club Bot
gmatclubot
Re: What is the remainder when -12 is divided by -5? [#permalink]
18 Mar 2024, 20:24
Moderators:
Bunuel
Math Expert
93007 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions