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

It is currently 18 Jun 2018, 20:09
Search
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
Unanswered

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar
CLICK HERE TO HIDE/SHOW EVENTS

What is the remainder when 1044*1047*1050*1053 is divided by

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
  Sort by Date Sort by Kudos  
Search for:
 

Go to page   Previous    1   2   [ 27 posts ] 

Print view
First unread post
Author Message
TAGS:

Hide Tags
Current Student
avatar
B
Joined: 23 May 2013
Posts: 189
Location: United States
Concentration: Technology, Healthcare
Schools: Stanford '19 (M)
GMAT 1: 760 Q49 V45
GPA: 3.5
GMAT ToolKit User
Re: Remainders [#permalink]

Show Tags

New post 05 Mar 2014, 11:37
Bunuel wrote:
ngoctraiden1905 wrote:
I think it's easier: because all of the term divisible by 3 so the remainder of the multiply of them will be the remainder when after dividing by 3 then dividing by 11. This can only be 3 because all other choice is greater than 11


That's not right:

Consider this 6*6*6 divided by 33. What is remainder?

According to you logic: as all of them are divisible by 3 remainder must be less than 11, but in this case remainder is 18>11.

For the original question the answer IS 30. But my point was that the solution I provided is not easy, so I wonder if there is some easier way to do the same.


There is a *slightly* easier solution. If we factor out a 3 from each number, we come up with:

\(3*3*3*3*(348*349*310*311)/33\) = \(3*3*3*(348*349*310*311)/11\)

Now our task is to reduce each number to its remainder when divided by 11.

We notice that 352 is the closest multiple of 11 to the numbers inside the parentheses, and thus the remainders are (-1 * -2 * -3 * -4)* 3 * 3 * 3.

-4*-3 = 12; remainder 1
-1*2 = 2, remainder 2
3*3*3 = 27; remainder 5

Now 5*2*1 = 10, which is the remainder when divided by 11. Multiplying this by 3 (because the question asks the remainder when divided by 33), we get 10*3 = 30.

Answer: C
Manager
Manager
avatar
Joined: 28 Jul 2013
Posts: 82
Location: India
Concentration: Marketing, Strategy
GPA: 3.62
WE: Engineering (Manufacturing)
Re: What is the remainder when 1044*1047*1050*1053 is divided by [#permalink]

Show Tags

New post 04 Jun 2014, 18:58
Lets use the remainder theorem.

33 = 3*11
first divide any number that is divisible by 3 lets say 1053/3 = 351
so (1044*1047*1050*351)/11

1044/11 = r10
1047/11 = r2
1050/11 = r5
351/11 = r10
multiply all the r and we get 100
now 100 is greater than 11 so again divide by 11
100/11 = r10
since we divide the orginal multiplication my 3 so we have to multiply the final remainder by 3
hence 30 is the remainder and answer is C
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1837
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: What is the remainder when 1044 * 1047 * 1050 * 1053 is [#permalink]

Show Tags

New post 05 Jun 2014, 22:56
WoundedTiger wrote:
vshaunak@gmail.com wrote:
What is the remainder when 1044 * 1047 * 1050 * 1053 is divided by 33?

A. 3
B. 27
C. 30
D. 21
E. 18

Can somebody suggest a trick to solve this question.



Hi,

Math Experts....need help on this one....

We need to find the remainder in the above case. I started by finding whether any term is divisible by 33 and found the nearest multiple to be 1056 and changed the question to

(1056-12)*(1056-9)*(1056-6)*(1056-3)/33 which can be further reduced to

(-12)(-9)(-6)(-3)/ 33
On simplifying further we get -------> -12*-9*-6*-1/11-------> 648/11 ---Remainder 10.....its not even in the answers choices...

please suggest what's wrong with my approach


You are changing the divisor. Divisor should not be changed in such problems. If changed, revert back later

Here the divisor is 33; as soon as we "attempt to simplify", it changed to 11.

Now, if 11 is the divisor, all the options in the OA except 3 are invalid as remainder would always be less than divisor

As far as the problem is concerned; just multiply 10 with 3 = 30 & there comes the answer (As 3 was simplified earlier)
_________________

Kindly press "+1 Kudos" to appreciate :)

Director
Director
User avatar
Status: Everyone is a leader. Just stop listening to others.
Joined: 22 Mar 2013
Posts: 893
Location: India
GPA: 3.51
WE: Information Technology (Computer Software)
Premium Member Reviews Badge
Re: What is the remainder when 1044*1047*1050*1053 is divided by [#permalink]

Show Tags

New post 01 Sep 2014, 13:07
WoundedTiger wrote:
vshaunak@gmail.com wrote:
What is the remainder when 1044 * 1047 * 1050 * 1053 is divided by 33?

A. 3
B. 27
C. 30
D. 21
E. 18

Can somebody suggest a trick to solve this question.



Hi,

Math Experts....need help on this one....

We need to find the remainder in the above case. I started by finding whether any term is divisible by 33 and found the nearest multiple to be 1056 and changed the question to

(1056-12)*(1056-9)*(1056-6)*(1056-3)/33 which can be further reduced to

(-12)(-9)(-6)(-3)/ 33
On simplifying further we get -------> -12*-9*-6*-1/11-------> 648/11 ---Remainder 10.....its not even in the answers choices...

please suggest what's wrong with my approach


Because you reduced you fraction by 3. That's the reason you are getting 10. Multiply 10 by 3 and you will get correct remainder 30.
If one reduce fraction by some factor to simplify the calculation then one must not forget to multiply answer by same factor in the end.
_________________

Piyush K
-----------------------
Our greatest weakness lies in giving up. The most certain way to succeed is to try just one more time. ― Thomas A. Edison
Don't forget to press--> Kudos :)
My Articles: 1. WOULD: when to use? | 2. All GMATPrep RCs (New)
Tip: Before exam a week earlier don't forget to exhaust all gmatprep problems specially for "sentence correction".

Manager
Manager
avatar
S
Joined: 21 Apr 2016
Posts: 185
GMAT ToolKit User Reviews Badge
Re: What is the remainder when 1044*1047*1050*1053 is divided by [#permalink]

Show Tags

New post 10 Sep 2016, 09:31
Answer should be 3. Here is my analysis:

Since all the numbers in the numerator are divisible by 3, the fraction can be reduced to a number with a denominator 11. The remainder should always be less than the divisor. So dividing a number with 11 should leave a remainder less than 11. Looking at the answer choices 3 is the only one that is less than 11.

I tried computing in a calculator (( 1044 * 1047 * 1050 * 1053) + 3) / 33 did not leave any remainder.

Please someone update the OA. It is (A)
Senior SC Moderator
User avatar
V
Joined: 14 Nov 2016
Posts: 1285
Location: Malaysia
GMAT ToolKit User Premium Member CAT Tests
What is the remainder when 1044*1047*1050*1053 is divided by [#permalink]

Show Tags

New post 03 Sep 2017, 05:39
vshaunak@gmail.com wrote:
What is the remainder when 1044*1047*1050*1053 is divided by 33?

A. 3
B. 27
C. 30
D. 21
E. 18


Bunuel, Is it the correct approach?

1044*1047*1050*1053 = n*(n + 3)*(n + 6)*(n + 9)

3*6*9 = 162

162/33, remainder = 30
_________________

"Be challenged at EVERY MOMENT."

“Strength doesn’t come from what you can do. It comes from overcoming the things you once thought you couldn’t.”

"Each stage of the journey is crucial to attaining new heights of knowledge."

Rules for posting in verbal forum | Please DO NOT post short answer in your post!

Senior Manager
Senior Manager
User avatar
P
Joined: 02 Jul 2017
Posts: 294
GMAT 1: 730 Q50 V38
GMAT ToolKit User
Re: What is the remainder when 1044*1047*1050*1053 is divided by [#permalink]

Show Tags

New post 03 Sep 2017, 06:08
manhasnoname wrote:
Answer should be 3. Here is my analysis:

Since all the numbers in the numerator are divisible by 3, the fraction can be reduced to a number with a denominator 11. The remainder should always be less than the divisor. So dividing a number with 11 should leave a remainder less than 11. Looking at the answer choices 3 is the only one that is less than 11.

I tried computing in a calculator (( 1044 * 1047 * 1050 * 1053) + 3) / 33 did not leave any remainder.

Please someone update the OA. It is (A)



Just a comment on your logic :
If you are saying :
"I tried computing in a calculator (( 1044 * 1047 * 1050 * 1053) + 3) / 33 did not leave any remainder. "
than here remainder will be 33-3=30 .. not 3...

example.... 16/10 = 1 quotient and 6 remainder....
in your terms : (16+4)/10 does not leave a remainder so 16/10 doesn't have a remainder of 4.. instead remainder is 10-4 =6

so if on calculator you see after adding 3.. number gets properly divided means original remainder is 33-3 ie 30. which is the correct answer.

Hope m clear.
Re: What is the remainder when 1044*1047*1050*1053 is divided by   [#permalink] 03 Sep 2017, 06:08
Print view
First unread post

Go to page   Previous    1   2   [ 27 posts ] 

Display posts from previous: Sort by

What is the remainder when 1044*1047*1050*1053 is divided by

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

Moderators: chetan2u, Bunuel, niks18, mikemcgarry, VeritasPrepKarishma, generis

Search for:


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®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions