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

It is currently 22 Sep 2018, 13:54

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

Find the greatest number that will divide 43, 91 and 183 so as to leav

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

Hide Tags

Intern
Intern
User avatar
B
Joined: 29 Jun 2018
Posts: 15
Location: India
GMAT 1: 530 Q42 V26
GPA: 4
CAT Tests
Find the greatest number that will divide 43, 91 and 183 so as to leav  [#permalink]

Show Tags

New post Updated on: 10 Aug 2018, 00:22
1
5
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

72% (01:20) correct 28% (01:41) wrong based on 109 sessions

HideShow timer Statistics

Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

A. 4
B. 7
C. 9
D. 13
E. 24

Originally posted by Bulusuchaitanya on 09 Aug 2018, 01:35.
Last edited by Bunuel on 10 Aug 2018, 00:22, edited 1 time in total.
Renamed the topic.
Director
Director
User avatar
P
Status: Learning stage
Joined: 01 Oct 2017
Posts: 857
WE: Supply Chain Management (Energy and Utilities)
Premium Member CAT Tests
Re: Find the greatest number that will divide 43, 91 and 183 so as to leav  [#permalink]

Show Tags

New post 09 Aug 2018, 03:06
1
Bulusuchaitanya wrote:
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

A. 4
B. 7
C. 9
D. 13
E 24



Greatest number=HCF(91-43, 183-91, 183-43)=HCF(48, 92, 140)=4.

Ans. (A)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Intern
Intern
avatar
B
Joined: 28 Feb 2017
Posts: 9
Location: India
Concentration: General Management, Operations
Re: Find the greatest number that will divide 43, 91 and 183 so as to leav  [#permalink]

Show Tags

New post 09 Aug 2018, 06:47
required no.=h.c.f of(91-43),(183-91) and (183-43)
=h.C.F OF 48,92 and 140=4
hence A option is correct
_________________

Thanks and Regards

If you like this post, then please give Kudos!

VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1088
Re: Find the greatest number that will divide 43, 91 and 183 so as to leav  [#permalink]

Show Tags

New post 09 Aug 2018, 07:54
1
Bulusuchaitanya wrote:
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

A. 4
B. 7
C. 9
D. 13
E 24


91=pn+r
43=qn+r
subtracting,
48=n(p-q)
n must be 4 or 24
only 4 leaves same remainder with all three dividends
A
CEO
CEO
User avatar
D
Joined: 12 Sep 2015
Posts: 2878
Location: Canada
Re: Find the greatest number that will divide 43, 91 and 183 so as to leav  [#permalink]

Show Tags

New post 28 Aug 2018, 13:44
Top Contributor
Bulusuchaitanya wrote:
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

A. 4
B. 7
C. 9
D. 13
E. 24


This question lends itself to testing the answer choices
Since we're looking for the greatest number, we'll start at E and work our way to A

E) 41
43 divided by 41 equals 1 with remainder 2
91 divided by 41 equals 2 with remainder 9
We need the SAME remainder each time - ELIMINATE E

D) 13
43 divided by 13 equals 3 with remainder 4
91 divided by 13 equals 7 with remainder 0
We need the SAME remainder each time - ELIMINATE D

C) 9
43 divided by 9 equals 4 with remainder 7
91 divided by 9 equals 10 with remainder 1
We need the SAME remainder each time - ELIMINATE C

B) 7
43 divided by 7 equals 6 with remainder 1
91 divided by 7 equals 13 with remainder 0
We need the SAME remainder each time - ELIMINATE B

By the process of elimination, the correct answer is A

RELATED VIDEO FROM OUR COURSE

_________________

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

Manager
Manager
avatar
B
Joined: 23 Nov 2017
Posts: 67
Location: Singapore
Concentration: Strategy, Other
GMAT 1: 640 Q42 V36
CAT Tests
Re: Find the greatest number that will divide 43, 91 and 183 so as to leav  [#permalink]

Show Tags

New post 31 Aug 2018, 09:41
alok019 wrote:
required no.=h.c.f of(91-43),(183-91) and (183-43)
=h.C.F OF 48,92 and 140=4
hence A option is correct



could u please explain this mthod in detail? would much appreciate the help.
GMAT Club Bot
Re: Find the greatest number that will divide 43, 91 and 183 so as to leav &nbs [#permalink] 31 Aug 2018, 09:41
Display posts from previous: Sort by

Find the greatest number that will divide 43, 91 and 183 so as to leav

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

Events & Promotions

PREV
NEXT


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®.