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Did one of the 3 members of a certain team sell atleast 2

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Director
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Did one of the 3 members of a certain team sell atleast 2 [#permalink] New post 11 Mar 2009, 17:18
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Did one of the 3 members of a certain team sell atleast 2 raffle tickets yesterday?

(1) The 3 members sold a total of 6 raffle tickets yesterday.
(2) No 2 of the members sold the same number of raffle tickets yesterday.

OPEN DISCUSSION OF THIS QUESTION IS HERE: did-one-of-the-3-members-of-a-certain-team-sell-at-least-136811.html
[Reveal] Spoiler: OA
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Re: DS -gmatprep1 -- raffle tickets [#permalink] New post 11 Mar 2009, 19:23
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Given:

stmt 1:

3 members sold a total of 6 raffel tickets.
on a average each should sell 2 tickets.
So it can be (2,2,2);(1,2,3);(4,1,1).
So one of the 3 members will definetly sell atleast 2 raffel tickets.
Therefore sufficient .

stmt2 :
No two members sold the same number of raffel tickets.
giving the lowest possible value ( 0,1,2);(1,2,3). Therefore sufficient.

Ans :D.
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Re: DS -gmatprep1 -- raffle tickets [#permalink] New post 11 Mar 2009, 19:08
ugimba wrote:
Did one of the 3 members of a certain team sell atleast 2 raffle tickets yesterday?

1) The 3 members sold a total of 6 raffle tickets yesterday.
2) No 2 of the members sold the same number of raffle tickets yesterday.


Please explain ..


1. it could be that 1 member sold all 6 tickets.
insuffic.

2. any way you slice it, at least 1 member will have sold at least 2 tickets, e.g.

pers1-0 pers2-1 pers3-5
pers1-1 pers2-2 pers3-3
etc.
suffic.

B.
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Re: DS -gmatprep1 -- raffle tickets [#permalink] New post 11 Mar 2009, 19:33
peraspera wrote:
ugimba wrote:
Did one of the 3 members of a certain team sell atleast 2 raffle tickets yesterday?

1) The 3 members sold a total of 6 raffle tickets yesterday.
2) No 2 of the members sold the same number of raffle tickets yesterday.


Please explain ..


1. it could be that 1 member sold all 6 tickets.
insuffic.

2. any way you slice it, at least 1 member will have sold at least 2 tickets, e.g.

pers1-0 pers2-1 pers3-5
pers1-1 pers2-2 pers3-3
etc.
suffic.

B.


correcting myself - read the 1) wrong. It's clear from 1) that at least 1 member sold at least 2 tickets.
The answer should be D.
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Re: DS -gmatprep1 -- raffle tickets [#permalink] New post 12 Mar 2009, 05:41
tkarthi4u wrote:
Given:

stmt 1:

3 members sold a total of 6 raffel tickets.
on a average each should sell 2 tickets.
So it can be (2,2,2);(1,2,3);(4,1,1).
So one of the 3 members will definetly sell atleast 2 raffel tickets.
Therefore sufficient .

stmt2 :
No two members sold the same number of raffel tickets.
giving the lowest possible value ( 0,1,2);(1,2,3). Therefore sufficient.

Ans :D.


tkarthi4u , Thank you. Yes OA is D.

your take on second case is very clear. that is where I was confused and picked wrong answer.

+1 to ya.
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Re: Did one of the 3 members of a certain team sell atleast 2 [#permalink] New post 06 Mar 2013, 05:10
Is D the answer to this question?
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Re: Did one of the 3 members of a certain team sell atleast 2 [#permalink] New post 06 Mar 2013, 05:28
Expert's post
ugimba wrote:
Did one of the 3 members of a certain team sell atleast 2 raffle tickets yesterday?

1) The 3 members sold a total of 6 raffle tickets yesterday.
2) No 2 of the members sold the same number of raffle tickets yesterday.




From F.S 1, we have the total no of raffles being sold as 6. The average no of raffles sold per person would be 6/3 = 2. Thus, any combination between these three people will end up with one person getting more than 2 or at-least 2 raffles. For example, (2,2,2);(0,4,2);(1,1,4) etc. Sufficient.

From F.S 2, we have the no of tickets sold by each is different in value. Assuming that all three of them sold 0 tickets is thus not possible. If one person sold zero tickets, the second person will have to sell 1 or any no. more than that. Similarly, for the third person. Thus, one of the member would have atleast sold atleast 2 raffle tickets. Sufficient.

D.
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Re: Did one of the 3 members of a certain team sell atleast 2 [#permalink] New post 06 Mar 2013, 07:32
Expert's post
Re: Did one of the 3 members of a certain team sell atleast 2   [#permalink] 06 Mar 2013, 07:32
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