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At a business school conference with 100 attendees, are ther

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At a business school conference with 100 attendees, are ther [#permalink] New post 22 Nov 2011, 15:34
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Question Stats:

67% (01:47) correct 33% (00:49) wrong based on 45 sessions
At a business school conference with 100 attendees, are there any students of the same age (rounded to the nearest year) who attend the same school?

(1) The range of ages of the participants is 22 to 30, inclusive
(2) Participants represent 10 business schools.

For me its clearcut A. Can someone please let me know if you think it not correct? OA is not provided unfortunately. :cry:
[Reveal] Spoiler: OA

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Last edited by Bunuel on 12 Aug 2014, 06:30, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: At a business school conference with 100 attendees, are ther [#permalink] New post 22 Nov 2011, 23:22
enigma123 wrote:
At a business school conference with 100 attendees, are there any students of the same age (rounded to the nearest year) who attend the same school?
(1) The range of ages of the participants is 22 to 30, inclusive
(2) Participants represent 10 business schools.

For me its clearcut A. Can someone please let me know if you think it not correct? OA is not provided unfortunately. :cry:


I believe the answer should be C.

S1: Only the range of age is given. But there may be 100 different or only 1/2 colleges. In that case the answer in insufficient.
S1: Only #of B schools are given.We don't have the range of age. Insufficient

S1+S2 = we have all the data. Sufficient. hence IMO D.
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Re: At a business school conference with 100 attendees, are ther [#permalink] New post 23 Nov 2011, 02:05
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enigma123 wrote:
At a business school conference with 100 attendees, are there any students of the same age (rounded to the nearest year) who attend the same school?
(1) The range of ages of the participants is 22 to 30, inclusive
(2) Participants represent 10 business schools.

For me its clearcut A. Can someone please let me know if you think it not correct? OA is not provided unfortunately. :cry:


It's not A, because you don't know how many schools are represented. It might be that each of the 100 students if from a different school, in which case the answer is 'no', or they may all be from the same school, in which case the answer is 'yes'. Similarly Statement 2 is not sufficient, because we don't know how many ages are represented.

Using both Statements, we know that there are only 10 schools at the conference, and only 9 different ages (from 22 to 30 inclusive). Certainly it's possible that there are two, say, 28 year-olds from the same school, so the answer can be 'yes'. Can the answer be 'no'? Then we'd need every person of the same age to attend a different school. That means we could have at most ten 22 year olds, at most ten 23 year olds, and so on, and so at most 9*10 = 90 people. But we have 100 people, so it's impossible that the answer is 'no', and there must be at least two people of the same age at the same school, and the answer is C.
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Re: At a business school conference with 100 attendees, are ther [#permalink] New post 23 Nov 2011, 07:31
imo C.

Stmt 1 does not tell you how many schools there are. So all though you have a range of 9 years for 100 attendees, there could be 100 schools.

Stmt 2 is not enough for the same reason. We know that there are 10 schools but the age range could be anything.

Stmt 1 & 2: suff
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Re: At a business school conference with 100 attendees, are ther [#permalink] New post 09 Aug 2014, 09:41
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Re: At a business school conference with 100 attendees, are ther [#permalink] New post 22 Aug 2014, 01:37
very hard.

at one school, the maximum student diferent at age is 9 (there are 9 ages).

we have 10 schools,so, the number of students with different ages at different schools is 90

some school must have more than 9 students. those schools must contain student at the same age
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Re: At a business school conference with 100 attendees, are ther   [#permalink] 22 Aug 2014, 01:37
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