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

Question

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.

VikashAlex · Accepted Answer

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.

Skywalker18 · Answer

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 = 24

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

camlan1990 · Answer

(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

cutegirlsimran · Answer

1) 8/2n = 1/6, so n = 24 sufficient

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

Hence D is the correct answer

MHIKER · Answer

EACH HAS N MEMBERS 
SO The F+P = N+N = 2N,

(1)  \frac{8}{2N}=\frac{1}{6} 
2N = 48
N = 24
The member of finance committee 24.

(2) N-3= 21
 N = 24
ANS. D
 =

ScottTargetTestPrep · Answer

Solution:

Question Stem Analysis:

We need to determine the number of members the Finance Committee had at the beginning of the year. That is, we need to determine the value of n.

Statement One Alone:
 
Since a total of 5 + 3 = 8 people left at the end of the year and the total number of members at the beginning of the year is n + n = 2n, we can create the proportion:

8 / (2n) = 1/6

2n = 48

n = 24

Statement one alone is sufficient.

Statement Two Alone:
 
Since 3 members left the Planning Committee at the end of the year and 21 members remained, the Planning Committee must have had 21 + 3 = 24 members at the beginning of the year. Since the Planning Committee and the Finance Committee had the same number of members at the beginning of the year, the Finance Committee must also have had 24 members at the beginning of the year. Statement two alone is sufficient.

Answer: D

GMATinsight · Answer

Answer: Option D

Video solution by  GMATinsight

https://www.youtube.com/watch?v=KcW9Yu_yxvw

avigutman · Answer

Video solution from Quant Reasoning: Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1 https://www.youtube.com/watch?v=XnJrTZJr2yA

piyushluniya · Answer

Hi  Bunuel   VeritasKarishma 
For 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.

Please let me know where am I wrong and how can i not do this mistake from next time ?

KarishmaB · Answer

Statement 2 tells us that 21 members "remained". It means they did not leave. Hence the 21 does not include anyone who joined. They were those who were present at the beginning of the year too.

Kimberly77 · Answer

Hi  BrentGMATPrepNow , Given

At the beginning of year
Number of people in Finance committee = n
Number of people in Planning committee = n
Total = 2n

At the end of year
Number of people in Finance committee= n-5
Number of people in Planning committee = n-3
Total = 2n - 8

For St1, wondering why is not 2n-8/2n = 1/6 but 8/2n? Not sure what did I miss? Thanks Brent.

BrentGMATPrepNow · Answer

Statement 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.
We're told that, at the end of the year,  5 members left  the Finance Committee and  3 members left  the Planning Committee. 
So, the total number of members who  left  = 5 + 3 = 8.

Your equation is for a different statement. 
REVISED statement 1: The ratio of the total number of  members who  remained  after 8 members left  at the end of the year to the total number of members at the beginning of the year was 1:6.
IF this were the wording for statement 1, your equation, ( 2n-8 )/2n = 1/6 would apply.

rrc1996 · Answer

Clear statement 1 is sufficient. But for 2, couldn´t it be the case that people left throughout the year, and not only at the end of the year? Example: suppose 2 year left throughout the year, then n=21+3(left at the end of the year)+2 (left at other points of the year) =26.

Bunuel · Answer

The phrase "At the end of the year, 3 members left the Planning Committee," implies that the 3 members left the committee during the course of the year, not necessarily exactly at the end. This phrasing typically indicates a timeframe spanning the entire year, and is not restricted to the very last moment of the year. Therefore, the situation you're describing, where additional members leave at different times, does not apply.

Ishaan30 · Answer

So total number of people that left are 5 +3 = 8. And we have to find how many members did the  Finance committee have before people left .

This gives us a total of 48 people before people left. It does not say that the ratio is only for the Finance or the Planning committee, so can't deduce accurately.  INSUFFICIENT

This does not make sense on it's own because you get stuck with just the information that at the beginning of the year, when people hadn't left, the Planning committee had 24 people.  INSUFFICIENT 
 
(1) + (2) make sense as follows - 40 - 21 = 19(Number of people in Finance now). 19 + 5 = 24(Number of people in Finance before people left).

I'd go for Option C.

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

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