It is currently 24 Nov 2017, 00:52

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

Events & Promotions in June
Open Detailed Calendar

A number when divided by a certain divisor left remainder 24

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

Hide Tags

4 KUDOS received
Intern
Intern
avatar
Joined: 30 Jun 2012
Posts: 12

Kudos [?]: 43 [4], given: 4

A number when divided by a certain divisor left remainder 24 [#permalink]

Show Tags

New post 01 Dec 2012, 08:51
4
This post received
KUDOS
20
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

75% (01:28) correct 25% (02:39) wrong based on 331 sessions

HideShow timer Statistics

A number when divided by a certain divisor left remainder 241, when twice the number was divided by the same divisor, the remainder was 112. Find the divisor?

A. 370
B. 365
C. 380
D. 456
E. 460
[Reveal] Spoiler: OA

Kudos [?]: 43 [4], given: 4

6 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 22 Dec 2011
Posts: 295

Kudos [?]: 299 [6], given: 32

Re: A number when divided by a certain divisor left remainder 24 [#permalink]

Show Tags

New post 01 Dec 2012, 09:12
6
This post received
KUDOS
1
This post was
BOOKMARKED
apoorvarora wrote:
A number when divided by a certain divisor left remainder 241, when twice the number was divided by the same divisor, the remainder was 112. Find the divisor?
A 370
B 365
C 380
D 456
E 460


let the number be N we can represent N as ....

N = Quotient * Divisor + reminder

As given\(N = QD + 241\)
\(2N = 2QD + 482\)

Now when 482 divided by one of the answer choice we should get a remainder of 112

Only option A gives us that.... so A it is...

Kudos [?]: 299 [6], given: 32

1 KUDOS received
Director
Director
avatar
Joined: 03 Aug 2012
Posts: 899

Kudos [?]: 919 [1], given: 322

Concentration: General Management, General Management
GMAT 1: 630 Q47 V29
GMAT 2: 680 Q50 V32
GPA: 3.7
WE: Information Technology (Investment Banking)
Premium Member
Re: A number when divided by a certain divisor left remainder 24 [#permalink]

Show Tags

New post 08 Aug 2013, 23:24
1
This post received
KUDOS
Easy solution:

N= Dq1+241
2N = 2Dq1 + 482 - (1)

2N = Dq2 + 112 - (2)

As (1) = (2) = 2N

D*(q2-2q1) = 370

D * Some integer = 370

Checking all options only (A) syncs with it.

Rgds,
TGC !
_________________

Rgds,
TGC!
_____________________________________________________________________
I Assisted You => KUDOS Please
_____________________________________________________________________________

Kudos [?]: 919 [1], given: 322

2 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 10 Jul 2013
Posts: 326

Kudos [?]: 426 [2], given: 102

Re: A number when divided by a certain divisor left remainder 24 [#permalink]

Show Tags

New post 09 Aug 2013, 13:52
2
This post received
KUDOS
Jp27 wrote:
apoorvarora wrote:
A number when divided by a certain divisor left remainder 241, when twice the number was divided by the same divisor, the remainder was 112. Find the divisor?
A 370
B 365
C 380
D 456
E 460


let the number be N we can represent N as ....

N = Quotient * Divisor + reminder

As given\(N = QD + 241\)
\(2N = 2QD + 482\)

Now when 482 divided by one of the answer choice we should get a remainder of 112

Only option A gives us that.... so A it is...



N = Quotient * Divisor + reminder

As given N = QD + 241
2N = 2QD + 482

Now when 482 divided by one of the answer choice we should get a remainder of 112

Only option A gives us that....
sweet solution brother
_________________

Asif vai.....

Kudos [?]: 426 [2], given: 102

Intern
Intern
avatar
Joined: 05 Jun 2011
Posts: 15

Kudos [?]: 16 [0], given: 36

Schools: Kellog, Stern, Stanford, Booth,HBS, Wharton
Re: A number when divided by a certain divisor left remainder 24 [#permalink]

Show Tags

New post 12 Aug 2013, 17:48
VeritasPrepKarishma's posts on remainders taught me how to think about this pretty simply...
's
N/ (some divisor)+241 = a remainder of 0 right? It must be a multiple at this point and since N^2 leaves a remainder of > 241 (112) then when N is squared there must be another "grouping" of the number when divided by our mystery divisor so...241-112=129 which is = to the additional "grouping" and if 129 is the additional "grouping" then 241 + 129 must be = to the divisor which is 370!

- My terminology may be off, but if you've checked VeritasPrepKarishma's posts on divisibility you know what I mean...:)

Kudos [?]: 16 [0], given: 36

1 KUDOS received
Intern
Intern
User avatar
Joined: 29 Mar 2013
Posts: 28

Kudos [?]: 7 [1], given: 8

Schools: ISB '16
Re: A number when divided by a certain divisor left remainder 24 [#permalink]

Show Tags

New post 13 Aug 2013, 11:37
1
This post received
KUDOS
(n-241)/a=1 ...... 1 => n-241=a
(2n-112)/a=1.....2 => 2n-112=a

replacing a.... > 2n-112=n-241
=>n=129
241+129=370....uff

Kudos [?]: 7 [1], given: 8

Manager
Manager
avatar
B
Joined: 22 Jul 2014
Posts: 130

Kudos [?]: 322 [0], given: 197

Concentration: General Management, Finance
GMAT 1: 670 Q48 V34
WE: Engineering (Energy and Utilities)
GMAT ToolKit User Reviews Badge
Re: A number when divided by a certain divisor left remainder 24 [#permalink]

Show Tags

New post 06 Aug 2014, 04:54
Is this a sub-600 level question? :wink:

Kudos [?]: 322 [0], given: 197

1 KUDOS received
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1851

Kudos [?]: 2723 [1], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: A number when divided by a certain divisor left remainder 24 [#permalink]

Show Tags

New post 06 Aug 2014, 21:28
1
This post received
KUDOS
apoorvarora wrote:
A number when divided by a certain divisor left remainder 241, when twice the number was divided by the same divisor, the remainder was 112. Find the divisor?

A. 370
B. 365
C. 380
D. 456
E. 460


One step answer:

241 * 2 - 112 = 482 - 112 = 370

Explanation

As the number doubled, double the original remainder & subtract the new one
_________________

Kindly press "+1 Kudos" to appreciate :)

Kudos [?]: 2723 [1], given: 193

SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1851

Kudos [?]: 2723 [0], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: A number when divided by a certain divisor left remainder 24 [#permalink]

Show Tags

New post 06 Aug 2014, 21:30
alphonsa wrote:
Is this a sub-600 level question? :wink:


Yes... seems to be.

There is no much calculation in this question :)
_________________

Kindly press "+1 Kudos" to appreciate :)

Kudos [?]: 2723 [0], given: 193

Director
Director
User avatar
G
Joined: 23 Jan 2013
Posts: 603

Kudos [?]: 27 [0], given: 41

Schools: Cambridge'16
A number when divided by a certain divisor left remainder 24 [#permalink]

Show Tags

New post 09 Oct 2015, 23:14
algebraic one;

n=qx+241, where x is divisor
2n=2(qx+241)
2n=sx+112
2qx+482=sx+112
370=sx-2qx => x(s-2q)=370.

Only option A says that x=370, so s-2q=1. We know that quotients are always integers, as well as their products and difference

A

Kudos [?]: 27 [0], given: 41

Manager
Manager
avatar
Joined: 09 Jun 2015
Posts: 100

Kudos [?]: 8 [0], given: 0

A number when divided by a certain divisor left remainder 24 [#permalink]

Show Tags

New post 18 Apr 2016, 01:26
apoorvarora wrote:
A number when divided by a certain divisor left remainder 241, when twice the number was divided by the same divisor, the remainder was 112. Find the divisor?

A. 370
B. 365
C. 380
D. 456
E. 460

n=241(mod d)
2*n=482(mod d); also 2*n=112(mod d); therefore d = 482-112=370

Kudos [?]: 8 [0], given: 0

Manager
Manager
avatar
S
Joined: 06 Jun 2013
Posts: 180

Kudos [?]: 17 [0], given: 314

Location: India
Concentration: Finance, Economics
Schools: Tuck
GMAT 1: 640 Q49 V30
GPA: 3.6
WE: Engineering (Computer Software)
Premium Member
Re: A number when divided by a certain divisor left remainder 24 [#permalink]

Show Tags

New post 15 May 2016, 11:15
i have a simple method to solve this problem.

in 1st case , remainder is 241 and in 2nd case remainder is 112. the question says twice the first number, so if we multiply the number in the 1st case, remainder should have been 2*241 = 482, but remainder is given as 112. Since divisor is same, we can get the answer by subtracting 112 from 482 i.e. 482-112 = 370

Kudos [?]: 17 [0], given: 314

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15503

Kudos [?]: 283 [0], given: 0

Premium Member
Re: A number when divided by a certain divisor left remainder 24 [#permalink]

Show Tags

New post 14 Jul 2017, 01:00
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 283 [0], given: 0

Expert Post
Target Test Prep Representative
User avatar
S
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1821

Kudos [?]: 944 [0], given: 3

Location: United States (CA)
Re: A number when divided by a certain divisor left remainder 24 [#permalink]

Show Tags

New post 16 Jul 2017, 17:44
apoorvarora wrote:
A number when divided by a certain divisor left remainder 241, when twice the number was divided by the same divisor, the remainder was 112. Find the divisor?

A. 370
B. 365
C. 380
D. 456
E. 460


We can let the number = n and the divisor = d.

Since the remainder is 214 when n is divided by d, we can say:

n/d = q + 241/d

Multiplying both sides by d, we have:

n = qd + 241 [Eq. 1]

Also, since the remainder is 112 when twice n is divided by d, we can say:

2n/d = p + 112/d

Multiplying both sides by d, we have:

2n = pd + 112 [Eq. 2]

Multiplying Eq. 1 by 2, we have:

2n = 2qd + 482

Substituting 2n into Eq. 2 as 2qd + 482, we can say:

2qd + 482 = pd + 112

370 = pd - 2qd

d(p - 2q) = 370

Since (p - 2q) is an integer, d must be a factor of 370. The only number in the answer choices that is a factor of 370 is 370 itself. Thus, answer choice A is correct.

Answer: A
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 944 [0], given: 3

Re: A number when divided by a certain divisor left remainder 24   [#permalink] 16 Jul 2017, 17:44
Display posts from previous: Sort by

A number when divided by a certain divisor left remainder 24

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


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