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# The 52 students in a certain class are divided to 7 groups.

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Current Student
Joined: 11 May 2008
Posts: 551
The 52 students in a certain class are divided to 7 groups. [#permalink]

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28 Jul 2008, 20:09
The 52 students in a certain class are divided to 7 groups. Is there at least one group has no less than 12 students?
(1) Two groups have exactly 2 students.
(2) Four groups have no less than 10 students.
A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

CAN WE CONSIDER A GROUP TO AHVE 0 STUDENTS?? IS IT POSSIBLE TO THINK LIKE THAT OR SHUD A GRP HAVE ATLEAST 1 STUDENT?

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VP
Joined: 28 Dec 2005
Posts: 1484

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28 Jul 2008, 20:15
i chose E. In order to be a group, you should have at least 1 student, so i dont consider a group with zero to be a group at all
Manager
Joined: 03 Jun 2008
Posts: 128
Schools: ISB, Tuck, Michigan (Ross), Darden, MBS

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28 Jul 2008, 20:18
pmenon wrote:
i chose E. In order to be a group, you should have at least 1 student, so i dont consider a group with zero to be a group at all

You are right IMO.

But i get B. Since we can easily say that no group would have students equal or more than 12.
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Current Student
Joined: 11 May 2008
Posts: 551

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28 Jul 2008, 20:21
i feel B.
4 grps have no less than 10 -> 40 students atleast in 4 grps.
so there are 12 students for the remaining 3.
so there has to be less than 12 students in all the grps.
so the question" Is there at least one group which has no less than 12 students" can be ans...
is this ok?
or am i missing smthing?
its like a bloody tongue twister ... this problem...
VP
Joined: 28 Dec 2005
Posts: 1484

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28 Jul 2008, 20:23
what if we have groups of 10, 10, 10, 12 and 4, 3, 3 ? Then we satisfy the requirement of 7 groups, and a total of 52 children.

Or, we could have 11, 11, 11, 11, 4, 2, 2 ... that gives 52 and 7 groups as well, but here we have no groups with 12 or more children.
Current Student
Joined: 11 May 2008
Posts: 551

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28 Jul 2008, 20:27
:banana ..i think u are correct pmenon

i deserve .... :beat

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Re: confusing ONE   [#permalink] 28 Jul 2008, 20:27
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# The 52 students in a certain class are divided to 7 groups.

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