Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score. Oct 22 08:00 PM PDT  09:00 PM PDT On Demand for $79. For a score of 4951 (from current actual score of 40+) AllInOne Standard & 700+ Level Questions (150 questions) Oct 23 08:00 AM PDT  09:00 AM PDT Join an exclusive interview with the people behind the test. If you're taking the GMAT, this is a webinar you cannot afford to miss!
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58454

A jar of 264 marbles is divided equally among a group of marbleplayer
[#permalink]
Show Tags
19 Jun 2016, 11:15
Question Stats:
67% (02:29) correct 33% (02:47) wrong based on 182 sessions
HideShow timer Statistics
A jar of 264 marbles is divided equally among a group of marbleplayers. If 2 people join the group, each one would receive 1 marble less. How many people are there in the group today? A. 20. B. 21. C. 22. D. 23. E. 24.
Official Answer and Stats are available only to registered users. Register/ Login.
_________________



Manager
Joined: 19 Dec 2015
Posts: 108
Location: United States
GPA: 3.8
WE: Information Technology (Computer Software)

Re: A jar of 264 marbles is divided equally among a group of marbleplayer
[#permalink]
Show Tags
19 Jun 2016, 12:34
Before solving it algebraically, let us prime factorize 264 = 2*2*2*2*11
Since number of marbles per person * total persons = 264, the answer should be a factor of 264. Only C is. And that's your answer.



Director
Joined: 21 Mar 2016
Posts: 505

Re: A jar of 264 marbles is divided equally among a group of marbleplayer
[#permalink]
Show Tags
21 Jun 2016, 05:35
only 22 and 24 divide 264 perfectly, assume initially, there are 22 people,, each will get 12 marbles two people join, then 24 will get 11 marble each. hence answer E == 24



Senior Manager
Joined: 02 Mar 2012
Posts: 272

Re: A jar of 264 marbles is divided equally among a group of marbleplayer
[#permalink]
Show Tags
21 Jun 2016, 07:48
FacelessMan wrote: Before solving it algebraically, let us prime factorize 264 = 2*2*2*2*11
Since number of marbles per person * total persons = 264, the answer should be a factor of 264. Only C is. And that's your answer. 264 = 2*2*2*3*11 not 264 = 2*2*2*2*11



Current Student
Joined: 18 Oct 2014
Posts: 803
Location: United States
GPA: 3.98

Re: A jar of 264 marbles is divided equally among a group of marbleplayer
[#permalink]
Show Tags
21 Jun 2016, 08:28
Bunuel wrote: A jar of 264 marbles is divided equally among a group of marbleplayers. If 2 people join the group, each one would receive 1 marble less. How many people are there in the group today?
A. 20. B. 21. C. 22. D. 23. E. 24. Back solving the question: Choice C says 22 people. So marbles divided/person among 22 people = 264/22= 12 marbles If people were 24 then marbles divided/person among 24 people= 264/24= 11 marbles i.e. 1 marble less then when there were 2 people less. This is exactly we were looking for. C is the answer
_________________
I welcome critical analysis of my post!! That will help me reach 700+



Intern
Joined: 21 Jun 2016
Posts: 29
Location: India
Concentration: Strategy, Leadership
GPA: 3.8

Re: A jar of 264 marbles is divided equally among a group of marbleplayer
[#permalink]
Show Tags
04 Jul 2016, 01:57
Or we can just use the 'Old School Approach':
Solve 264/x  1 = 264/(x+2) => x^2 + 2x  528 = 0 satisfied only by option C.



Current Student
Joined: 04 Jan 2016
Posts: 163
Location: United States (NY)
GMAT 1: 620 Q44 V32 GMAT 2: 600 Q48 V25 GMAT 3: 660 Q42 V39
GPA: 3.48

Re: A jar of 264 marbles is divided equally among a group of marbleplayer
[#permalink]
Show Tags
11 Jun 2017, 16:40
FacelessMan wrote: Before solving it algebraically, let us prime factorize 264 = 2*2*2*2*11
Since number of marbles per person * total persons = 264, the answer should be a factor of 264. Only C is. And that's your answer. Though, your solution seems straight forward, but 24 is also a factor of 264 since its factors are included in the prime factorization of 264= 2*2*2*3*11



Intern
Joined: 14 Sep 2016
Posts: 10

Re: A jar of 264 marbles is divided equally among a group of marbleplayer
[#permalink]
Show Tags
20 Jun 2017, 12:46
Bunuel wrote: A jar of 264 marbles is divided equally among a group of marbleplayers. If 2 people join the group, each one would receive 1 marble less. How many people are there in the group today?
A. 20. B. 21. C. 22. D. 23. E. 24. Hi Bunuel, Good morning. I am not able to solve this problem using following approach. Lets say there are x players. 264 is divided equally among all players so, 264 = x * a now 2 members are added so, x+2 and each one gets 1 less means, a 1 so, 264 = (x+2)(a1) How to proceed further? I am missing something here. Thanks,



Math Expert
Joined: 02 Sep 2009
Posts: 58454

Re: A jar of 264 marbles is divided equally among a group of marbleplayer
[#permalink]
Show Tags
20 Jun 2017, 13:29
goal2016 wrote: Bunuel wrote: A jar of 264 marbles is divided equally among a group of marbleplayers. If 2 people join the group, each one would receive 1 marble less. How many people are there in the group today?
A. 20. B. 21. C. 22. D. 23. E. 24. Hi Bunuel, Good morning. I am not able to solve this problem using following approach. Lets say there are x players. 264 is divided equally among all players so, 264 = x * a now 2 members are added so, x+2 and each one gets 1 less means, a 1 so, 264 = (x+2)(a1) How to proceed further? I am missing something here. Thanks, By solving system of equations: 264 = xa and 264 = (x+2)(a1). Express x in terms of a (or viseversa) substitute into the another equation and solve quadratics you get. But much easier approaches are presented above.
_________________



Current Student
Joined: 19 Aug 2016
Posts: 146
Location: India
GPA: 3.82

Re: A jar of 264 marbles is divided equally among a group of marbleplayer
[#permalink]
Show Tags
23 Sep 2017, 03:02
mohshu wrote: only 22 and 24 divide 264 perfectly, assume initially, there are 22 people,, each will get 12 marbles two people join, then 24 will get 11 marble each. hence answer E == 24 Hey, I made the same mistake of assuming that E is the answe. But more than the calculation, the tricky part of the question is figuring out what is meant by 'how many people are in the group today' which means how many people are there BEFORE adding those two people. Therefore, answer to that question would be 22. Hence (C) is the correct answer here.
_________________
Consider giving me Kudos if you find my posts useful, challenging and helpful!



Intern
Joined: 23 Mar 2013
Posts: 4

Re: A jar of 264 marbles is divided equally among a group of marbleplayer
[#permalink]
Show Tags
14 Apr 2019, 07:36
Another quick approach could be, 264 must be divisible by x (num of people) and x+2 (when 2 are added), option c & e are factor of 264 but 24 + 2 = 26 is not a factor of 264, hence C satisfies




Re: A jar of 264 marbles is divided equally among a group of marbleplayer
[#permalink]
14 Apr 2019, 07:36






