It is currently 22 Nov 2017, 02:57

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 5 gives a number which is 8 more

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

Hide Tags

Manager
Manager
User avatar
Joined: 20 Nov 2009
Posts: 163

Kudos [?]: 260 [0], given: 64

A number when divided by 5 gives a number which is 8 more [#permalink]

Show Tags

New post 22 Mar 2011, 23:39
11
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

61% (01:52) correct 39% (02:24) wrong based on 245 sessions

HideShow timer Statistics

A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number is

A. 74
B. 75
C. 175
D. 680
E. 690
[Reveal] Spoiler: OA

_________________

But there’s something in me that just keeps going on. I think it has something to do with tomorrow, that there is always one, and that everything can change when it comes.
http://aimingformba.blogspot.com

Kudos [?]: 260 [0], given: 64

2 KUDOS received
Manager
Manager
avatar
Joined: 14 Feb 2011
Posts: 184

Kudos [?]: 154 [2], given: 3

Re: A number when divided by 5 gives a number which is 8 more [#permalink]

Show Tags

New post 22 Mar 2011, 23:46
2
This post received
KUDOS
aiming4mba wrote:
A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number is
A. 74
B. 75
C. 175
D. 680
E. 690


Since the number has to be divisible by 5 and not divisible by 34, we can surely eliminate 74 and 680 from choices.

Lets check the remaining three options

75 - divided by 5 gives 15 and divided by 34 gives 7 as remainder and when 8 is added to 7, it yields 15, so this one satisfies and hence is the answer.

Kudos [?]: 154 [2], given: 3

TOEFL Forum Moderator
avatar
Joined: 16 Nov 2010
Posts: 1603

Kudos [?]: 601 [0], given: 40

Location: United States (IN)
Concentration: Strategy, Technology
Premium Member Reviews Badge
Re: A number when divided by 5 gives a number which is 8 more [#permalink]

Show Tags

New post 23 Mar 2011, 02:02
75/34 = rem 7 and 75/5 = 15, so Answer is B.
_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

Kudos [?]: 601 [0], given: 40

Intern
Intern
avatar
Joined: 05 Oct 2010
Posts: 13

Kudos [?]: [0], given: 19

Re: A number when divided by 5 gives a number which is 8 more [#permalink]

Show Tags

New post 07 Apr 2011, 18:03
Why do we assume that the number needs to evenly divide by 5? Without that assumption the answer would be 74.
74/5 = 14 + reminder (4)
74/34 = 2 + reminder (6)
6+8 = 14

Kudos [?]: [0], given: 19

Director
Director
User avatar
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 608

Kudos [?]: 1154 [0], given: 39

Re: GMAT Prep Problem [#permalink]

Show Tags

New post 27 May 2011, 11:23
1
This post was
BOOKMARKED
kajolnb wrote:
A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number is
A. 74
B. 75
C. 175
D. 680
E. 690


I have one approach that is back solving.
see you have find out a number which divided by 5 but not by 34. and x/5=n will be 8 more than the remainder left after dividing an option by 34.
so 74 and is out because is not divided by 5.
Let 75. 75/5=15, and 75/34=2+remainder 7, which is 8 less than 15.
so ans is B.
_________________

Collections:-
PSof OG solved by GC members: http://gmatclub.com/forum/collection-ps-with-solution-from-gmatclub-110005.html
DS of OG solved by GC members: http://gmatclub.com/forum/collection-ds-with-solution-from-gmatclub-110004.html
100 GMAT PREP Quantitative collection http://gmatclub.com/forum/gmat-prep-problem-collections-114358.html
Collections of work/rate problems with solutions http://gmatclub.com/forum/collections-of-work-rate-problem-with-solutions-118919.html
Mixture problems in a file with best solutions: http://gmatclub.com/forum/mixture-problems-with-best-and-easy-solutions-all-together-124644.html

Kudos [?]: 1154 [0], given: 39

Intern
Intern
avatar
Joined: 04 Sep 2009
Posts: 43

Kudos [?]: 82 [0], given: 9

Re: GMAT Prep Problem [#permalink]

Show Tags

New post 27 May 2011, 14:00
I would also go for B. This is a clasic Back Solving, as Baten80 said. The only one not worth trying is the first on, 74, since it is not a multiple of 5.
_________________

Aeros
"Why are you trying so hard to fit in when you were born to stand out?"
"Do or do not. There is no 'try'..."

Kudos [?]: 82 [0], given: 9

Expert Post
12 KUDOS received
Veritas Prep GMAT Instructor
User avatar
G
Joined: 16 Oct 2010
Posts: 7745

Kudos [?]: 17843 [12], given: 235

Location: Pune, India
Re: GMAT Prep Problem [#permalink]

Show Tags

New post 27 May 2011, 14:16
12
This post received
KUDOS
Expert's post
8
This post was
BOOKMARKED
kajolnb wrote:
A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number is
A. 74
B. 75
C. 175
D. 680
E. 690


Back solving is a good technique but I like to keep it as the last option. Reasons for that:
1. It involves a lot of calculations so chances of error are relatively higher.
2. Sometimes, it is not possible to take an educated guess even after trying a couple of values so it could certainly be time consuming if the first numbers you try do not fall in place.

So, as an alternative approach, let me give you an equation that you can use.

Let the number be N.

"A number when divided by 5"
That is N/5

" gives a number which is 8 more than"
N/5 = 8 +

"the remainder obtained on dividing the same number by 34."
N = 34Q + R
So remainder obtained when N is divided by 34 is R which is (N - 34Q)
N/5 = 8 + (N - 34Q)
Isolate N from this equation to get:
N = 85Q/2 - 10

N will take the smallest value when Q = 2 (so that we get an integer value)
N = 85 - 10 = 75
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Kudos [?]: 17843 [12], given: 235

Manager
Manager
User avatar
Status: ==GMAT Ninja==
Joined: 08 Jan 2011
Posts: 241

Kudos [?]: 95 [0], given: 46

Schools: ISB, IIMA ,SP Jain , XLRI
WE 1: Aditya Birla Group (sales)
WE 2: Saint Gobain Group (sales)
Re: GMAT Prep Problem [#permalink]

Show Tags

New post 29 May 2011, 03:08
VeritasPrepKarishma wrote:
kajolnb wrote:
A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number is
A. 74
B. 75
C. 175
D. 680
E. 690


Back solving is a good technique but I like to keep it as the last option. Reasons for that:
1. It involves a lot of calculations so chances of error are relatively higher.
2. Sometimes, it is not possible to take an educated guess even after trying a couple of values so it could certainly be time consuming if the first numbers you try do not fall in place.

So, as an alternative approach, let me give you an equation that you can use.

Let the number be N.

"A number when divided by 5"
That is N/5

" gives a number which is 8 more than"
N/5 = 8 +

"the remainder obtained on dividing the same number by 34."
N = 34Q + R
So remainder obtained when N is divided by 34 is R which is (N - 34Q)
N/5 = 8 + (N - 34Q)
Isolate N from this equation to get:
N = 85Q/2 - 10

N will take the smallest value when Q = 2 (so that we get an integer value)
N = 85 - 10 = 75


Excellent karishma
loved your approach its always simple and self explanatory.........:)
kudos to you.........:)
_________________

WarLocK
_____________________________________________________________________________
The War is oNNNNNNNNNNNNN for 720+
see my Test exp here http://gmatclub.com/forum/my-test-experience-111610.html
do not hesitate me giving kudos if you like my post. :)

Kudos [?]: 95 [0], given: 46

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

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

Schools: Cambridge'16
Re: A number when divided by 5 gives a number which is 8 more [#permalink]

Show Tags

New post 18 Sep 2015, 02:44
Best way pick minimal number in list because we look for this number

74/5=14+4/5, 74/34=2+6/34, so 14+4/5-6=8+4/5, it is more than 8. Out
75/5=15, 75/34=2+7/34, so 15-7=8. correct

B

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

Manager
Manager
avatar
S
Joined: 06 Jun 2013
Posts: 179

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 5 gives a number which is 8 more [#permalink]

Show Tags

New post 25 Sep 2015, 01:37
VeritasPrepKarishma wrote:
kajolnb wrote:
A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number is
A. 74
B. 75
C. 175
D. 680
E. 690


Back solving is a good technique but I like to keep it as the last option. Reasons for that:
1. It involves a lot of calculations so chances of error are relatively higher.
2. Sometimes, it is not possible to take an educated guess even after trying a couple of values so it could certainly be time consuming if the first numbers you try do not fall in place.

So, as an alternative approach, let me give you an equation that you can use.

Let the number be N.

"A number when divided by 5"
That is N/5

" gives a number which is 8 more than"
N/5 = 8 +

"the remainder obtained on dividing the same number by 34."
N = 34Q + R
So remainder obtained when N is divided by 34 is R which is (N - 34Q)
N/5 = 8 + (N - 34Q)
Isolate N from this equation to get:
N = 85Q/2 - 10

N will take the smallest value when Q = 2 (so that we get an integer value)
N = 85 - 10 = 75



i followed exactly the same procedure. but initially lil bit nervous and confused in the wording of this question.

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

Manager
Manager
avatar
Joined: 24 May 2013
Posts: 86

Kudos [?]: 35 [0], given: 99

GMAT ToolKit User
Re: A number when divided by 5 gives a number which is 8 more [#permalink]

Show Tags

New post 18 Mar 2016, 06:18
A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number is

Let the no be ' n' .
n=34p+r (assume r is the remainder)
n=5* (r+8)=5* (n-34p+8) = 5n -170p+40
4n=170p-40
n=(85/2)*p - 10

p=1 =>n is a fraction.
p=2 => n = 75

A. 74
B. 75
C. 175
D. 680
E. 690

Kudos [?]: 35 [0], given: 99

Retired Moderator
avatar
P
Joined: 12 Aug 2015
Posts: 2213

Kudos [?]: 876 [0], given: 602

GMAT ToolKit User Premium Member
Re: A number when divided by 5 gives a number which is 8 more [#permalink]

Show Tags

New post 21 Mar 2016, 03:29
Nice one... Here we are told that a number divided by 5 gives a quotient with is 8 more than the remainder when number is divided by 34
hence let quotient be p
hence the remainder will be p+8
checking by plugging in the values we get that B is sufficient.
hence B
_________________

Give me a hell yeah ...!!!!!

Kudos [?]: 876 [0], given: 602

Manager
Manager
avatar
B
Joined: 02 Sep 2015
Posts: 54

Kudos [?]: 10 [0], given: 32

Location: United States
GMAT 1: 760 Q49 V44
GPA: 3.97
WE: Project Management (Energy and Utilities)
Reviews Badge
Re: A number when divided by 5 gives a number which is 8 more [#permalink]

Show Tags

New post 05 Jun 2016, 15:42
I solved this question by plugging in numbers from the answer choices.

A.) 74
Starting with answer choice A, I immediately eliminated it because 74 is not even divisible by 5.

B.) 75
I divide 75/5 and get 15 as an answer. I divide 75/34 and get a remainder of 7.
15-7 = 8 so I know the correct answer is B

Kudos [?]: 10 [0], given: 32

Director
Director
avatar
G
Joined: 07 Dec 2014
Posts: 838

Kudos [?]: 268 [0], given: 15

A number when divided by 5 gives a number which is 8 more [#permalink]

Show Tags

New post 14 Sep 2017, 14:21
aiming4mba wrote:
A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number is

A. 74
B. 75
C. 175
D. 680
E. 690


let q=quotient for n/34
n/5-8=n-34q→
34q=4n/5+8
test values of 0 and 1 for q :(
lowest possible value for q=2 :-)
lowest possible value for n=75
B

Last edited by gracie on 06 Nov 2017, 16:10, edited 1 time in total.

Kudos [?]: 268 [0], given: 15

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

Kudos [?]: 940 [0], given: 3

Location: United States (CA)
Re: A number when divided by 5 gives a number which is 8 more [#permalink]

Show Tags

New post 20 Sep 2017, 15:49
aiming4mba wrote:
A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number is

A. 74
B. 75
C. 175
D. 680
E. 690


The best way to solve this problem is to try each given answer choice. However, the information given in the problem suggests that the number is divisible by 5 but not by 34. Thus, we can eliminate 74 and 680, since the former is not divisible by 5 and the latter is divisible by 34. Since the problem asks for the least possible number, let’s try the smallest number from the remaining three numbers.

B) 75

75/5 = 15

75/34 = 2 R 7

Since 15 is indeed 8 more than 7, 75 is the correct answer.

Answer: B
_________________

Scott Woodbury-Stewart
Founder and CEO

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

Kudos [?]: 940 [0], given: 3

Director
Director
avatar
G
Joined: 07 Dec 2014
Posts: 838

Kudos [?]: 268 [0], given: 15

A number when divided by 5 gives a number which is 8 more [#permalink]

Show Tags

New post 17 Oct 2017, 13:43
aiming4mba wrote:
A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number is

A. 74
B. 75
C. 175
D. 680
E. 690



let r=n/34 remainder
q=n/5
q=r+8
n/5=r+8
n=5r+40
n must be a multiple of 5
looking at 75, the least multiple of 5,
r=7; q=7+8=15
15*5=75=n
B

Kudos [?]: 268 [0], given: 15

A number when divided by 5 gives a number which is 8 more   [#permalink] 17 Oct 2017, 13:43
Display posts from previous: Sort by

A number when divided by 5 gives a number which is 8 more

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


cron

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®.