Oct 14 08:00 PM PDT  11:00 PM PDT Join a 4day FREE online boot camp to kick off your GMAT preparation and get you into your dream bschool in R2.**Limited for the first 99 registrants. Register today! Oct 15 12:00 PM PDT  01:00 PM PDT Join this live GMAT class with GMAT Ninja to learn to conquer your fears of long, kooky GMAT questions. Oct 16 08:00 PM PDT  09:00 PM PDT EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299) Oct 19 07:00 AM PDT  09:00 AM PDT Does GMAT RC seem like an uphill battle? eGMAT is conducting a free webinar to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days. Sat., Oct 19th at 7 am PDT Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score.
Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 20 Nov 2009
Posts: 114

A number when divided by 5 gives a number which is 8 more
[#permalink]
Show Tags
22 Mar 2011, 23:39
Question Stats:
61% (02:29) correct 39% (02:39) wrong based on 221 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
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
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




Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9699
Location: Pune, India

Re: GMAT Prep Problem
[#permalink]
Show Tags
27 May 2011, 14:16
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
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >




Manager
Joined: 14 Feb 2011
Posts: 144

Re: A number when divided by 5 gives a number which is 8 more
[#permalink]
Show Tags
22 Mar 2011, 23:46
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.



Retired Moderator
Joined: 16 Nov 2010
Posts: 1260
Location: United States (IN)
Concentration: Strategy, Technology

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



Intern
Joined: 05 Oct 2010
Posts: 12

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



Senior Manager
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 426

Re: GMAT Prep Problem
[#permalink]
Show Tags
27 May 2011, 11:23
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.
_________________



Intern
Joined: 04 Sep 2009
Posts: 37

Re: GMAT Prep Problem
[#permalink]
Show Tags
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'..."



Manager
Status: ==GMAT Ninja==
Joined: 08 Jan 2011
Posts: 177
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
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/mytestexperience111610.htmldo not hesitate me giving kudos if you like my post.



Director
Joined: 23 Jan 2013
Posts: 525

Re: A number when divided by 5 gives a number which is 8 more
[#permalink]
Show Tags
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+4/56=8+4/5, it is more than 8. Out 75/5=15, 75/34=2+7/34, so 157=8. correct
B



Manager
Joined: 06 Jun 2013
Posts: 149
Location: India
Concentration: Finance, Economics
GPA: 3.6
WE: Engineering (Computer Software)

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



Manager
Joined: 24 May 2013
Posts: 77

Re: A number when divided by 5 gives a number which is 8 more
[#permalink]
Show Tags
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* (n34p+8) = 5n 170p+40 4n=170p40 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



Current Student
Joined: 12 Aug 2015
Posts: 2572

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



Current Student
Joined: 02 Sep 2015
Posts: 51
Location: United States
GPA: 3.97
WE: Project Management (Energy and Utilities)

Re: A number when divided by 5 gives a number which is 8 more
[#permalink]
Show Tags
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. 157 = 8 so I know the correct answer is B



VP
Joined: 07 Dec 2014
Posts: 1223

A number when divided by 5 gives a number which is 8 more
[#permalink]
Show Tags
Updated on: 06 Nov 2017, 16:10
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/58=n34q→ 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
Originally posted by gracie on 14 Sep 2017, 14:21.
Last edited by gracie on 06 Nov 2017, 16:10, edited 1 time in total.



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8043
Location: United States (CA)

Re: A number when divided by 5 gives a number which is 8 more
[#permalink]
Show Tags
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
_________________
5star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews If you find one of my posts helpful, please take a moment to click on the "Kudos" button.



VP
Joined: 07 Dec 2014
Posts: 1223

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



NonHuman User
Joined: 09 Sep 2013
Posts: 13147

Re: A number when divided by 5 gives a number which is 8 more
[#permalink]
Show Tags
11 Feb 2019, 21:02
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.
_________________




Re: A number when divided by 5 gives a number which is 8 more
[#permalink]
11 Feb 2019, 21:02






