Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 59623

At the beginning of the year, the Finance Committee and the Planning C
[#permalink]
Show Tags
25 Oct 2015, 09:15
Question Stats:
67% (01:43) correct 33% (02:02) wrong based on 1425 sessions
HideShow timer Statistics
At the beginning of the year, the Finance Committee and the Planning Committee of a certain company each had n members, and no one was a member of both committees. At the end of the year, 5 members left the Finance Committee and 3 members left the Planning Committee. How many members did the Finance Committee have at the beginning of the year? (1) The ratio of the total number of members who left at the end of the year to the total number of members at the beginning of the year was 1:6. (2) At the end of the year, 21 members remained on the Planning Committee. Kudos for a correct solution.
Official Answer and Stats are available only to registered users. Register/ Login.
_________________




Intern
Joined: 22 Sep 2014
Posts: 31

At the beginning of the year, the Finance Committee and the Planning C
[#permalink]
Show Tags
25 Oct 2015, 10:43
Bunuel wrote: At the beginning of the year, the Finance Committee and the Planning Committee of a certain company each had n members, and no one was a member of both committees. At the end of the year, 5 members left the Finance Committee and 3 members left the Planning Committee. How many members did the Finance Committee have at the beginning of the year?
(1) The ratio of the total number of members who left at the end of the year to the total number of members at the beginning of the year was 1:6. (2) At the end of the year, 21 members remained on the Planning Committee.
Kudos for a correct solution. Will go with DGiven: Planning Committee (P) has 'n' members. Finance Committee (F) has 'n' members. Total members = n = n = 2n Total members left (L) = 5 + 3 = 8 Find: n = ? Statement 1: Given that L/2n =1/6 . This implies 8/2n = k/6k (consider the ratio has multiplied by constant k). Now, 'k' value will be only 8 as it has directly given L = 8. So it will be 8/2n = 1/6. Hence, 2n = 48. ==> n=24. Hence sufficient.Statement 2: Given that n3 = 21 ===> n = 24. Hence sufficient.
_________________
Thanks & Regards, Vikash Alex (Do like the below link on FB and join us in contributing towards education to underprivilege children.) https://www.facebook.com/svect




Manager
Joined: 11 Sep 2013
Posts: 104

Re: At the beginning of the year, the Finance Committee and the Planning C
[#permalink]
Show Tags
25 Oct 2015, 09:46
Bunuel wrote: At the beginning of the year, the Finance Committee and the Planning Committee of a certain company each had n members, and no one was a member of both committees. At the end of the year, 5 members left the Finance Committee and 3 members left the Planning Committee. How many members did the Finance Committee have at the beginning of the year?
(1) The ratio of the total number of members who left at the end of the year to the total number of members at the beginning of the year was 1:6. (2) At the end of the year, 21 members remained on the Planning Committee.
Kudos for a correct solution. (1) The ratio of the total number of members who left at the end of the year to the total number of members at the beginning of the year was 1:6. => total number of members leaving at the end of the year: 5+3 = 8 => Total number of members in the beginning of year: 8*6 = 48 But we do not know the number of members of Planning => do not know the number of Finance Insufficient (2) At the end of the year, 21 members remained on the Planning Committee. => The number of members on the Planning: 21 + 3 = 24 => We do not know the number of members so do not know the number of members in Finance Sufficient 1+2 => Know the number of members in Finance => Sufficient => Ans: C



Verbal Forum Moderator
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2435
Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE: Information Technology (Consulting)

Re: At the beginning of the year, the Finance Committee and the Planning C
[#permalink]
Show Tags
25 Oct 2015, 10:59
At the beginning of year Number of people in Finance committee = n Number of people in Planning committee = n At the end of year Number of people in Finance committee= n5 Number of people in Planning committee = n3 1. (5+3)/2n = 1/6 =>n = 48 Sufficient 2. Number of people in Planning committee = n3 = 21 =>n = 24 At the beginning of year ,number of people in Finance committee = 24 Sufficient Answer D
_________________
When everything seems to be going against you, remember that the airplane takes off against the wind, not with it.  Henry Ford The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long



Intern
Joined: 02 Jan 2014
Posts: 38

Re: At the beginning of the year, the Finance Committee and the Planning C
[#permalink]
Show Tags
26 Oct 2015, 03:22
For me also, it is D.
St 1: 8/2n = 1/6, so we can find the value of n.
St2: n5+n3=21 , Sufficient.
Hence the answer is D.



Manager
Joined: 22 Feb 2015
Posts: 56
Location: United States
Concentration: Finance, Operations
GMAT Date: 04012015
GPA: 3.98

Re: At the beginning of the year, the Finance Committee and the Planning C
[#permalink]
Show Tags
26 Oct 2015, 05:34
1) 8/2n = 1/6, so n = 24 sufficient
2) n3=21 so n = 24 sufficient
Hence D is the correct answer



Senior Manager
Joined: 02 Dec 2014
Posts: 352
Location: Russian Federation
Concentration: General Management, Economics
WE: Sales (Telecommunications)

Re: At the beginning of the year, the Finance Committee and the Planning C
[#permalink]
Show Tags
21 May 2016, 15:37
Skywalker18 wrote: At the beginning of year Number of people in Finance committee = n Number of people in Planning committee = n
At the end of year Number of people in Finance committee= n5 Number of people in Planning committee = n3
1. (5+3)/2n = 1/6 =>n = 48
Sufficient
2. Number of people in Planning committee = n3 = 21 =>n = 24
At the beginning of year ,number of people in Finance committee = 24 Sufficient
Answer D Hi Skywalker18! in statement 1 n=24 not 48. Please correct a typo))
_________________
"Are you gangsters?"  "No we are Russians!"



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8243
GPA: 3.82

At the beginning of the year, the Finance Committee and the Planning C
[#permalink]
Show Tags
07 Jun 2017, 22:36
Bunuel wrote: At the beginning of the year, the Finance Committee and the Planning Committee of a certain company each had n members, and no one was a member of both committees. At the end of the year, 5 members left the Finance Committee and 3 members left the Planning Committee. How many members did the Finance Committee have at the beginning of the year?
(1) The ratio of the total number of members who left at the end of the year to the total number of members at the beginning of the year was 1:6. (2) At the end of the year, 21 members remained on the Planning Committee.
Kudos for a correct solution. Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution. Condition (1) \(5 + 3 : 2n = 1: 6\) \(2n = 48\) Since we have 1 equation of \(n\), this is sufficient. Condition (2) \(n  3 = 21\) Since we have 1 equation of \(n\), this is also sufficient. Therefore, D is the answer. For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spareThe oneandonly World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only $79 for 1 month Online Course""Free Resources30 day online access & Diagnostic Test""Unlimited Access to over 120 free video lessons  try it yourself"



Intern
Status: Don't watch the clock,Do what it does, Keep Going.
Joined: 10 Jan 2017
Posts: 37

Re: At the beginning of the year, the Finance Committee and the Planning C
[#permalink]
Show Tags
19 Sep 2017, 09:56
F has n employees,5 left . P has n employees 3 left 1. employees left/ total employees = 1/6 8/2n=1/6 so, n=24
2 n3=21 so n = 24 D



NonHuman User
Joined: 09 Sep 2013
Posts: 13730

Re: At the beginning of the year, the Finance Committee and the Planning C
[#permalink]
Show Tags
07 Oct 2019, 08:44
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: At the beginning of the year, the Finance Committee and the Planning C
[#permalink]
07 Oct 2019, 08:44






