GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 15 Dec 2018, 06:13

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 in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Free GMAT Strategy Webinar

     December 15, 2018

     December 15, 2018

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
  • $450 Tuition Credit & Official CAT Packs FREE

     December 15, 2018

     December 15, 2018

     10:00 PM PST

     11:00 PM PST

    Get the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)

What is the remainder when -100 is divided by -30?

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

Hide Tags

Study Buddy Forum Moderator
User avatar
D
Joined: 04 Sep 2016
Posts: 1269
Location: India
WE: Engineering (Other)
Premium Member CAT Tests
Re: What is the remainder when -100 is divided by -30?  [#permalink]

Show Tags

New post 06 Aug 2018, 03:48
1
gmatbusters

I could get your solution, but to ensure what I understood,
I would like to take a similar example of -12 / -5

Remainder = 2 quotient = 2
Since common factor = -1 , actual remainder is 2 * -1 ie -2 (invalid since negative remainder)

Now comes the turning point, we did not need to use dividend = (divisor) * integer quotient + remainder

What chetan2u and you did was to simply arrange terms to get a positive remainder.

In this example:
How can I write -12 :

-12 = (-5) * 3 + 3

The 3 (next to 5) is next successive number than what I got earlier as a quotient. The 3 after addition sign is my remainder

So actual remainder is 3.

dave13

Quote:
WHY \(\frac{-100}{-30}\)= \(3.10\) isnt it correct answer arithmetically-mathematically

Did you by chance took inverse ratio of fraction ? ;)
_________________

It's the journey that brings us happiness not the destination.

Senior DS Moderator
User avatar
V
Joined: 27 Oct 2017
Posts: 1126
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
Premium Member CAT Tests
Re: What is the remainder when -100 is divided by -30?  [#permalink]

Show Tags

New post 06 Aug 2018, 04:58
Senior DS Moderator
User avatar
V
Joined: 27 Oct 2017
Posts: 1126
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
Premium Member CAT Tests
Re: What is the remainder when -100 is divided by -30?  [#permalink]

Show Tags

New post 06 Aug 2018, 05:27
1
@dave13, when we use actual division to calculate remainder. Follow the steps
1. Divide and find the decimal part.
2. Multiply decimal part by quotient.

In your approach, -100/ -30 = 3.3333
Decimal part = 0.333333..
Remainder = 0.3333...*(-30) = -10.

So remainder ( which is taken positive) = -10 +30 = 20.

(Always add absolute value of quotient to negative remainder to get the final remainder)


Hope it is clear now, don't hesitate to tag me in case of any doubt.

dave13 wrote:
gmatbusters \(\frac{-100}{-30}\) isnt this fraction valid ? division of two negative numbers yields positive number, right ? IF SO, then

WHY \(\frac{-100}{-30}\)= \(3.10\) isnt it correct answer arithmetically-mathematically :lol: !?


Posted from my mobile device[/quote]


gmatbusters your explanation is DETAILED. thank you for taking time to explain. But I cant see those DETAILS :lol: its impossible for me to decode your handwritten DETAILS :-)[/quote]
_________________

Win GMAT CLUB Test- Weekly Quant Quiz Contest
Weekly Quant Quiz Questions- Direct Download
SC: Confusable words

All you need for Quant, GMAT PS Question Directory,GMAT DS Question Directory
Error log/Key Concepts
Combination Concept: Division into groups
Question of the Day (QOTD)
Free GMAT CATS

Senior DS Moderator
User avatar
V
Joined: 27 Oct 2017
Posts: 1126
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
Premium Member CAT Tests
Re: What is the remainder when -100 is divided by -30?  [#permalink]

Show Tags

New post 06 Aug 2018, 05:38
1
Senior DS Moderator
User avatar
V
Joined: 27 Oct 2017
Posts: 1126
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
Premium Member CAT Tests
Re: What is the remainder when -100 is divided by -30?  [#permalink]

Show Tags

New post 06 Aug 2018, 05:42
Your understanding is right.
Perfect.
adkikani wrote:
gmatbusters

I could get your solution, but to ensure what I understood,
I would like to take a similar example of -12 / -5

Remainder = 2 quotient = 2
Since common factor = -1 , actual remainder is 2 * -1 ie -2 (invalid since negative remainder)

Now comes the turning point, we did not need to use dividend = (divisor) * integer quotient + remainder

What chetan2u and you did was to simply arrange terms to get a positive remainder.

In this example:
How can I write -12 :

-12 = (-5) * 3 + 3

The 3 (next to 5) is next successive number than what I got earlier as a quotient. The 3 after addition sign is my remainder

So actual remainder is 3.

dave13

Quote:
WHY \(\frac{-100}{-30}\)= \(3.10\) isnt it correct answer arithmetically-mathematically

Did you by chance took inverse ratio of fraction ? ;)

_________________

Win GMAT CLUB Test- Weekly Quant Quiz Contest
Weekly Quant Quiz Questions- Direct Download
SC: Confusable words

All you need for Quant, GMAT PS Question Directory,GMAT DS Question Directory
Error log/Key Concepts
Combination Concept: Division into groups
Question of the Day (QOTD)
Free GMAT CATS

GMAT Club Bot
Re: What is the remainder when -100 is divided by -30? &nbs [#permalink] 06 Aug 2018, 05:42

Go to page   Previous    1   2   [ 25 posts ] 

Display posts from previous: Sort by

What is the remainder when -100 is divided by -30?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.