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# Did one of the 3 members of a certain team sell at least 2

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Intern
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Did one of the 3 members of a certain team sell at least 2 [#permalink]  13 Jul 2010, 18:28
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Did one of the 3 members of a certain team sell at least 2 raffle tickets yesterday

(1) The 3 members sold a total of 6 tickets yesterday
(2) No 2 members sold the same number of tickets
[Reveal] Spoiler: OA

Last edited by Bunuel on 17 Sep 2015, 00:00, edited 3 times in total.
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Re: Did one of the 3 members of a certain team sell at least 2 [#permalink]  13 Jul 2010, 21:08
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1. Sufficient.

Cases : (0,0,6), (0,1,5),(0,2,4),(2,2,2),(1,2,3) etc All add upto 6. So one of the member sold atleast 2 tickets.

2. Sufficient.

Lets look at the min number of tickets that can be sold (when all the three are unequal)

M1 0
M2 1
M3 2

M3 sold atleast 2 tickets.

Hence D.
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Re: Did one of the 3 members of a certain team sell at least 2 [#permalink]  13 Jul 2010, 21:34
+1 for you...Thanks
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Re: Did one of the 3 members of a certain team sell at least 2 [#permalink]  14 Jul 2010, 07:45
Please post in correct section ....
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Intern
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Re: Did one of the 3 members of a certain team sell at least 2 [#permalink]  04 Aug 2012, 09:03
Acc to (1) one should mean only 1 member sold atleast 2 raffle, NOT atleast one member sold atleast 2 raffle.
Hence, the two contradictory options should be :
0,0,6- one member sold atleast 2 raffle
2,2,2- more than one member sold atleast 2 raffle.

Please explain why should D be the answer. This is a Q from GMAT Prep with D as answer, please take notice.
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Re: Did one of the 3 members of a certain team sell at least 2 [#permalink]  04 Sep 2013, 11:25
Rax wrote:
Did one of the 3 members of a certain team sell at least 2 raffle tickets yesterday
(1) The 3 members sold a total of 6 tickets yesterday
(2) No 2 members sold the same number of tickets

A. Statement A alone is sufficient, but Statement B alone is not sufficient
B. Statement B alone is sufficient, but Statement A alone is not sufficient
C. Both statements together are sufficient, but neither alone is sufficient.
D. Each statement alone is sufficient.
E. (1) and (2) together are not sufficient.

Option D is correct answer, but my pick is B.
Any takers?

In each case which is possible, one of the members would sell 2 at least or more. But need to read stems very carefully.
My mistake, picked the first one as sufficient, even did not go through second one in details.
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Re: Did one of the 3 members of a certain team sell at least 2 [#permalink]  05 Sep 2013, 23:55
Rax wrote:

Did one of the 3 members of a certain team sell at least 2 raffle tickets yesterday
(1) The 3 members sold a total of 6 tickets yesterday
(2) No 2 members sold the same number of tickets

LOL...this is in the wrong section buddy.

My guess would be D though.

(1) If the three sold a total of 6, it could be any combination of 1,3,2 or 2,2,2 or 0,0,6. Either way, someone sold more than 2. AD
(2) If no 2 members sold the same, well, at the very least you can have 0,1,2 which satisfies.
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Re: Did one of the 3 members of a certain team sell at least 2 [#permalink]  25 Sep 2014, 06:46
Hello from the GMAT Club VerbalBot!

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Re: Did one of the 3 members of a certain team sell at least 2 [#permalink]  22 Nov 2014, 09:30
I came across this question in Gmatprep. I chose B but OA is D, i have no idea how state 1 can be correct. Can you help Bunuel?
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Re: Did one of the 3 members of a certain team sell at least 2 [#permalink]  22 Nov 2014, 18:14
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vietnammba
We have a, b, and c (the 3 members). Does a or b or c "great than or equal to" 2?
(1) a+b+c = 6
Possible situations:
a=0, b=0, c=6
a=1, b=1, c=4
a=2, b=2, c=2
a=3, b=3, c=0
...
...
...
--> every situation must have at least a or b or c "equal to or greater than" 2.
--> sufficient

(2) we have: a, b and c must be different from each other:
a=0, b=1, c=2
a=1, b=2, c=0
a=2, b=1, c=0
-->so many situations, but always: a or b or c must be at least 2
-->sufficient

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Re: Did one of the 3 members of a certain team sell at least 2 [#permalink]  23 Nov 2014, 04:56
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vinhnhat88 wrote:
vietnammba
We have a, b, and c (the 3 members). Does a or b or c "great than or equal to" 2?
(1) a+b+c = 6
Possible situations:
a=0, b=0, c=6
a=1, b=1, c=4
a=2, b=2, c=2
a=3, b=3, c=0
...
...
...
--> every situation must have at least a or b or c "equal to or greater than" 2.
--> sufficient

(2) we have: a, b and c must be different from each other:
a=0, b=1, c=2
a=1, b=2, c=0
a=2, b=1, c=0
-->so many situations, but always: a or b or c must be at least 2
-->sufficient

Thanks, i figured it out last night. I focused on the fact that there might be people selling zero ticket and forgot the fact that if so then the other person has to sell more in order for 3 to sell 6 in total.
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Re: Did one of the 3 members of a certain team sell at least 2 [#permalink]  07 Dec 2014, 09:58
nusmavrik wrote:
1. Sufficient.

Cases : (0,0,6), (0,1,5),(0,2,4),(2,2,2),(1,2,3) etc All add upto 6. So one of the member sold atleast 2 tickets.

2. Sufficient.

Lets look at the min number of tickets that can be sold (when all the three are unequal)

M1 0
M2 1
M3 2

M3 sold atleast 2 tickets.

Hence D.

BUt in the second statement there is noway mentioned that total ticket sold is 6 ??
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Re: Did one of the 3 members of a certain team sell at least 2 [#permalink]  07 Dec 2014, 22:02
surbhii wrote:
BUt in the second statement there is noway mentioned that total ticket sold is 6 ??

Yes, but with second statement, the boundaries that we have are:

i) 3 members of the team sell tickets
ii) no 2 members sold the same number of tickets.

Any which way you look at it, since there are no way that all the 3 members could have sold less than 2 tickets. For example the combinations could be (0,1,2), (0,1,3), (0,1,5),(3,4,5) or whatever; but it cannot be (0,1,0), (0,0,0), (0,1,1) etc. because no 2 members sold the same number of tickets.
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Re: Did one of the 3 members of a certain team sell at least 2   [#permalink] 07 Dec 2014, 22:02
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# Did one of the 3 members of a certain team sell at least 2

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