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# At the beginning of the year, the Finance Committee and the

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Intern
Joined: 14 Mar 2010
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At the beginning of the year, the Finance Committee and the  [#permalink]

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28 Apr 2012, 22:11
1
9
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Difficulty:

35% (medium)

Question Stats:

69% (01:40) correct 31% (01:41) wrong based on 508 sessions

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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.

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Re: the Finance Committee and the Planning Committee of  [#permalink]

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28 Apr 2012, 22:31
6
3
Members in FC and PC are n,n

Members left FC=5
Members left PC =3

Members in FC at the start of the year =?

1)

members left/total members = 1:6
8/T=1/6
T=48
Members in FC at the start of the year =48/2 = 24 Sufficient

2)Members at the end in PC =21
Members at the starting of the year = 21+3=24
Members PC=Members FC= 24 Sufficient

##### General Discussion
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Re: At the beginning of the year, the Finance Committee and the  [#permalink]

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29 Apr 2012, 20:46
How did u get this? ........"Members in FC at the start of the year =48/2 = 24 Sufficient"
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Re: At the beginning of the year, the Finance Committee and the  [#permalink]

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29 Apr 2012, 21:54
monir6000 wrote:
How did u get this? ........"Members in FC at the start of the year =48/2 = 24 Sufficient"

T is nothing but 2n - as each committee has n members. So you would end up diving by 2 in the beginning itself. He just divided it in the end.
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Re: At the beginning of the year, the Finance Committee and the  [#permalink]

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29 Apr 2012, 23:30
@monir6000:
re-read the question. Number of both FC and PC is equal. So, if total no. Is 2,then each group has 1 member. If total mem is 48, each one has 24. I think you got me.

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Re: At the beginning of the year, the Finance Committee and the  [#permalink]

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16 May 2013, 23:31
monir6000 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.

Each of the teams had N mumbers is the catch here,

1. 1/6= 8/2n

so n = 24=3 = 24
stmt2: total at end of the year is 21 +3= 24.

so D is our choice
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Re: At the beginning of the year, the Finance Committee and the  [#permalink]

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03 Jul 2014, 03:35
You have to read the question carefully here, what I did not do, hence I got it wrong.

Both committees have N members at the beginning, which means THEY HAVE THE SAME NUMBER OF MEMBERS.

So, (1) tells you ratio from total leaving to total at start is 1:6, 8 members leave, hence there were 48 members total in the start. Now, since both teams have the same number of members, it must be 48/2 = 24 = sufficient.

(2) tells you about the planning team, which has 21 members at the end, hecne 21 + 3 member at the start. As we know from the question planning = finance = 24. Sufficient.

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At the beginning of the year, the Finance Committee and the  [#permalink]

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25 Aug 2017, 09:53
How do we know if new members weren't added? If new members were added, then statement 2 would be insufficient.
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Re: At the beginning of the year, the Finance Committee and the  [#permalink]

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02 Nov 2017, 05:12
How do we know that it is allowed to say 1/6 = 8/2n
I don't understand, why it is allowed to say the ratio of members which REMAIN(those ones which are left) at the end of the year to the number of members at the beginning of the year IS EQUAL to ratio of those ones who leave to the the total number???

Because the number of the remaining members is not the same as the number of members who left.
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Re: At the beginning of the year, the Finance Committee and the  [#permalink]

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27 Sep 2018, 12:37
does the phrase "each had n members" mean that they both had an equal number of members?

this is how i solved it.

Beginning: F = P = n
total = 2n
Ending: F = n-5, P = n-3
total = 2n-8

1) who left:beginning = 1/6
8/2n = 1/6
n = 24
F = 19 Sufficient
2) n - 3 = 24
n = 21

D both are sufficient
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Re: At the beginning of the year, the Finance Committee and the  [#permalink]

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08 Jan 2019, 05:04
monir6000 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.

Both committees have same number of members:
F=P=n
n=?

1) 8/2n = 1/6
n=24
Sufficient

2) 21+3 = 24 = n
Sufficient

Ans: D
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Re: At the beginning of the year, the Finance Committee and the   [#permalink] 08 Jan 2019, 05:04
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