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# Chanse took his daughter's soccer team for Pizza,1/6 of thh

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Chanse took his daughter's soccer team for Pizza,1/6 of thh [#permalink]  22 Jul 2009, 04:04
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Chanse took his daughter's soccer team for Pizza,1/6 of thh team had exactly 1 slice each,1/6 of thh team had exactly 2 slices each,1/6 of thh team had exactly 3 slices each and the rest had atleast 4 slices each.If a whole pizza consists of 6 slices,did any of the players eat a whole pizzza?

1.there are 12 players on the team.
2.The players ate an avg. of 3 slices per person.

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Re: did any of the players eat a whole pizzza? [#permalink]  22 Jul 2009, 04:13
B.
1 is insuff . No need to explain.
2 is suff.
1/6 x 1 + 1/6 x 2 + 1/6 x 3 + 3/6 x 4 =3 slice average.
If any person eats more than 4 slices. Average can not be 3.
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Schools: Kellogg; Ross ($$); Tuck Followers: 2 Kudos [?]: 31 [0], given: 6 Re: did any of the players eat a whole pizzza? [#permalink] 22 Jul 2009, 05:22 maliyeci wrote: B. 1 is insuff . No need to explain. 2 is suff. 1/6 x 1 + 1/6 x 2 + 1/6 x 3 + 3/6 x 4 =3 slice average. If any person eats more than 4 slices. Average can not be 3. Hello could you explain why 1 is insuff. It is said that some people had 1 slice, other 2, 3 and the remainig had 4. So no one clearly had more than 4 slices. Since a pizza consists of 6 slices, no one could have eaten a whole pizza. (are they allow to eat other person's slice?) I would have said 1 suff. tejal777 what is OA? Senior Manager Joined: 23 Jun 2009 Posts: 355 Location: Turkey Schools: UPenn, UMich, HKS, UCB, Chicago Followers: 5 Kudos [?]: 96 [0], given: 63 Re: did any of the players eat a whole pizzza? [#permalink] 22 Jul 2009, 05:27 It does not say Quote: It is said that some people had 1 slice, other 2, 3 and the remainig had 4 it says Quote: Chanse took his daughter's soccer team for Pizza,1/6 of thh team had exactly 1 slice each,1/6 of thh team had exactly 2 slices each,1/6 of thh team had exactly 3 slices each and the rest had atleast 4 slices each.If a whole pizza consists of 6 slices,did any of the players eat a whole pizzza? So 1 is insuff. Current Student Affiliations: ? Joined: 20 Jul 2009 Posts: 191 Location: Africa/Europe Schools: Kellogg; Ross ($$); Tuck
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Re: did any of the players eat a whole pizzza? [#permalink]  22 Jul 2009, 05:40
oh thanks.
I did not notice the "at least".....
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Re: did any of the players eat a whole pizzza? [#permalink]  23 Jul 2009, 01:14
maliyeci wrote:
B.
1 is insuff . No need to explain.
2 is suff.
1/6 x 1 + 1/6 x 2 + 1/6 x 3 + 3/6 x 4 =3 slice average.
If any person eats more than 4 slices. Average can not be 3.

absolutly not clear:(Can anybody explain in detail?
The OA is B
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Re: did any of the players eat a whole pizzza? [#permalink]  23 Jul 2009, 23:52
For which statement are you not clear? I can help if you say.
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Re: did any of the players eat a whole pizzza? [#permalink]  24 Jul 2009, 00:38
Assume the number of players on the team to be X.
From the given data:
1/6th of the team had 1 slice each ==> X/6 slices of pizza
1/6th of the team had 2 slices each ==> 2X/6 slices of pizza
1/6th of the team had 3 slices each ==> 3X/6 slices of pizza
3/6th(remaining members) of the team had at least 4 slices each ==> (3X*a)/6 slices of pizza, where a=4,5,6...

consider the second statement first:
The players ate an avg. of 3 slices per person

based on what we worked out earlier, average slices per person can be calculated as:
Avg Slice per person= Total Slices/No. of persons= [(X/6)+(2X/6)+(3X/6)+(3X.a/6)]/[(X/6)+(X/6)+(X/6)+(3X/6)]

Now lets assume that 3/6th of the players had 4 pizza slices each (a=4).
Avg slice per person= X*[(1/6)+(2/6)+(3/6)+(12/6)]/[6X/6]
= 3

Since the average works out to be true for a=4, we can conclude that the nobody on the team had more than 4 slices of pizza and hence no one ate the entire pizza

Statement 1 is insufficient as it does not give any information about how many slices the rest of the team had.

Re: did any of the players eat a whole pizzza?   [#permalink] 24 Jul 2009, 00:38
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