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

It is currently 24 Sep 2018, 16:26

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

What is the remainder when 1990990900032 is divided by 32 ?

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

Hide Tags

Current Student
User avatar
D
Joined: 12 Aug 2015
Posts: 2648
Schools: Boston U '20 (M)
GRE 1: Q169 V154
GMAT ToolKit User Premium Member
What is the remainder when 1990990900032 is divided by 32 ?  [#permalink]

Show Tags

New post 20 Jul 2016, 09:31
6
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

91% (01:00) correct 9% (01:41) wrong based on 118 sessions

HideShow timer Statistics

Most Helpful Expert Reply
Veritas Prep GMAT Instructor
User avatar
P
Joined: 16 Oct 2010
Posts: 8293
Location: Pune, India
Re: What is the remainder when 1990990900032 is divided by 32 ?  [#permalink]

Show Tags

New post 20 Jul 2016, 21:20
4
5
stonecold wrote:
What is the remainder when 1990990900032 is divided by 32 ?
A) 16
B) 8
C) 4
D) 2
E) 0


For powers of 2 - A number ending in as many 0s as the exponent of 2 will be divisible by that power of 2.

e.g. 2^4 = 16
A number N ending in four 0s will be divisible by 16.

e.g. 2^5 = 32
A number N ending in five 0s will be divisible by 32.

and so on...

1990990900032 = 1990990900000 + 32
1990990900000 ends in five 0s so will be divisible by 32.
32 is divisible by 32.
So 1990990900032 will be divisible by 32. Remainder will be 0.

Answer (E)
_________________

Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >

GMAT self-study has never been more personalized or more fun. Try ORION Free!

General Discussion
Intern
Intern
avatar
Joined: 23 Jan 2015
Posts: 40
Location: India
Concentration: Operations
WE: Information Technology (Computer Software)
What is the remainder when 1990990900032 is divided by 32 ?  [#permalink]

Show Tags

New post 20 Jul 2016, 21:13
1
2
stonecold wrote:
What is the remainder when 1990990900032 is divided by 32 ?
A) 16
B) 8
C) 4
D) 2
E) 0


Though i was unaware of the divisibility test for 32 but i guessed the pattern!!
divisibility rule for 4- last two digits must be divisible by 4
divisibility rule for 8- last three digits must be divisible by 8

similarly, divisibility rule for 32 - last five digits must be divisible by 32

Hence, Ans E
Director
Director
User avatar
G
Joined: 20 Feb 2015
Posts: 744
Concentration: Strategy, General Management
Premium Member CAT Tests
Re: What is the remainder when 1990990900032 is divided by 32 ?  [#permalink]

Show Tags

New post 21 Jul 2016, 09:29
VeritasPrepKarishma wrote:
stonecold wrote:
What is the remainder when 1990990900032 is divided by 32 ?
A) 16
B) 8
C) 4
D) 2
E) 0


For powers of 2 - A number ending in as many 0s as the exponent of 2 will be divisible by that power of 2.

e.g. 2^4 = 16
A number N ending in four 0s will be divisible by 16.

e.g. 2^5 = 32
A number N ending in five 0s will be divisible by 32.

and so on...

1990990900032 = 1990990900000 + 32
1990990900000 ends in five 0s so will be divisible by 32.
32 is divisible by 32.
So 1990990900032 will be divisible by 32. Remainder will be 0.

Answer (E)



Learnt something new today !!
:-D
CEO
CEO
User avatar
D
Joined: 12 Sep 2015
Posts: 2900
Location: Canada
Re: What is the remainder when 1990990900032 is divided by 32 ?  [#permalink]

Show Tags

New post 02 Dec 2017, 15:34
1
Top Contributor
stonecold wrote:
What is the remainder when 1990990900032 is divided by 32 ?
A) 16
B) 8
C) 4
D) 2
E) 0


100,000 = (10)(10)(10)(10)(10)
= (2)(5)(2)(5)(2)(5)(2)(5)(2)(5)
= (2^5)(5^5)
= (32)(5^5)

So,....
1990990900032 = 1990990900000 + 32
= (19909909)(100000) + 32
= (19909909)((32)(5^5)) + 32
= 32[(19909909)((5^5)) + 1]

So, 1990990900032 is a MULTIPLE of 32, which means the remainder is 0

Answer: A

Cheers,
Brent
_________________

Brent Hanneson – GMATPrepNow.com
Image
Sign up for our free Question of the Day emails

Intern
Intern
avatar
Joined: 06 Sep 2017
Posts: 2
Re: What is the remainder when 1990990900032 is divided by 32 ?  [#permalink]

Show Tags

New post 03 Dec 2017, 11:23
Split 32 as 8*3
Now consider divisibility tests for 8 and 3
Divisibility by 8: last three digits must be divisible by 8. Therefore 032 divisible by 8 true
Divisibility by 3: sum of digits must be divisible by 3; Now it is easy since the number contains many 9's sum=9*5+1+3+2=51 divisible by 3
Thus, when divided by 32-remainder will be zero
GMAT Club Bot
Re: What is the remainder when 1990990900032 is divided by 32 ? &nbs [#permalink] 03 Dec 2017, 11:23
Display posts from previous: Sort by

What is the remainder when 1990990900032 is divided by 32 ?

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

Events & Promotions

PREV
NEXT


cron
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®.