GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 04 Aug 2020, 03:37

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

At the beginning of the year, the Finance Committee and the Planning C

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 65785
At the beginning of the year, the Finance Committee and the Planning C  [#permalink]

Show Tags

New post 25 Oct 2015, 08:15
3
31
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

69% (01:42) correct 31% (02:03) wrong based on 1834 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.

_________________
Most Helpful Community Reply
Intern
Intern
avatar
Joined: 22 Sep 2014
Posts: 30
At the beginning of the year, the Finance Committee and the Planning C  [#permalink]

Show Tags

New post 25 Oct 2015, 09:43
10
2
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 D

Given: 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 n-3 = 21 ===> n = 24. Hence sufficient.
_________________
Thanks & Regards,
Vikash Alex
(Do like the below link on FB and join us in contributing towards education to under-privilege children.)
https://www.facebook.com/svect
General Discussion
Manager
Manager
avatar
Joined: 11 Sep 2013
Posts: 102
Re: At the beginning of the year, the Finance Committee and the Planning C  [#permalink]

Show Tags

New post 25 Oct 2015, 08:46
2
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
User avatar
V
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2445
Location: India
Concentration: General Management, Strategy
Schools: Kelley '20, ISB '19
GPA: 3.2
WE: Information Technology (Consulting)
GMAT ToolKit User Reviews Badge
Re: At the beginning of the year, the Finance Committee and the Planning C  [#permalink]

Show Tags

New post 25 Oct 2015, 09:59
2
1
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= n-5
Number of people in Planning committee = n-3

1.
(5+3)/2n = 1/6
=>n = 48

Sufficient

2.
Number of people in Planning committee = n-3 = 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
Intern
avatar
Joined: 02 Jan 2014
Posts: 35
Re: At the beginning of the year, the Finance Committee and the Planning C  [#permalink]

Show Tags

New post 26 Oct 2015, 02:22
For me also, it is D.

St 1: 8/2n = 1/6, so we can find the value of n.

St2: n-5+n-3=21 , Sufficient.

Hence the answer is D.
Manager
Manager
User avatar
Joined: 22 Feb 2015
Posts: 55
Location: United States
Concentration: Finance, Operations
GMAT Date: 04-01-2015
GPA: 3.98
Re: At the beginning of the year, the Finance Committee and the Planning C  [#permalink]

Show Tags

New post 26 Oct 2015, 04:34
1
1) 8/2n = 1/6, so n = 24 sufficient

2) n-3=21 so n = 24 sufficient

Hence D is the correct answer
Senior Manager
Senior Manager
avatar
B
Joined: 02 Dec 2014
Posts: 336
Location: Russian Federation
Concentration: General Management, Economics
GMAT 1: 640 Q44 V33
WE: Sales (Telecommunications)
Re: At the beginning of the year, the Finance Committee and the Planning C  [#permalink]

Show Tags

New post 21 May 2016, 14:37
1
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= n-5
Number of people in Planning committee = n-3

1.
(5+3)/2n = 1/6
=>n = 48

Sufficient

2.
Number of people in Planning committee = n-3 = 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
User avatar
V
Joined: 16 Aug 2015
Posts: 9256
GMAT 1: 760 Q51 V42
GPA: 3.82
At the beginning of the year, the Finance Committee and the Planning C  [#permalink]

Show Tags

New post 07 Jun 2017, 21:36
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 spare
The one-and-only 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 Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
Intern
Intern
User avatar
B
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

New post 19 Sep 2017, 08:56
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 n-3=21 so n = 24
D
Intern
Intern
avatar
B
Joined: 05 Aug 2019
Posts: 21
At the beginning of the year, the Finance Committee and the Planning C  [#permalink]

Show Tags

New post 14 Jun 2020, 08:54
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.



"each had n members"... Does this imply that the number of members in each of the two committees is equal?
Intern
Intern
avatar
B
Joined: 07 Jul 2020
Posts: 1
At the beginning of the year, the Finance Committee and the Planning C  [#permalink]

Show Tags

New post 10 Jul 2020, 16:13
For me it is A.

St 1: 8/2n = 1/6, so we can find the value of n.

St2: it is not said that no members joined Planning Committee in the year, so I suppose there're m members joined Planning Committee this year.
n-3=21-m , NOT sufficient.

Hence, the answer is A.

Am I wrong? Why?
Manager
Manager
avatar
G
Status: Done with one MBA, now aiming for something bigger!
Joined: 03 May 2020
Posts: 237
Location: India
Concentration: Marketing, Strategy
Re: At the beginning of the year, the Finance Committee and the Planning C  [#permalink]

Show Tags

New post 16 Jul 2020, 08:09
Initially:
Finance Committee = n
Planning Committee = n
Total = 2n

Year End:
Finance Committee = n - 5
Planning Committee = n - 3
Total = 2n - 8


St. 1:
8/2n = 1/6
=> n = 24

=> St. 1 is sufficient

St. 2:
n - 3 = 21
=> n = 24

=> St. 2 is sufficient

Answer: D
_________________
MBA - IB, IIFT | Class of 2018 - 20
Majors - Marketing | Minors - Finance, Strategy, and Trade
NMAT '17 - 99.xx percentile | IIFT '17 - 94.95 percentile | CAT '17 - 93.81 percentile
GMAT Club Bot
Re: At the beginning of the year, the Finance Committee and the Planning C   [#permalink] 16 Jul 2020, 08:09

At the beginning of the year, the Finance Committee and the Planning C

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





cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne