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At a business school conference with 100 attendees, are there any students of the same age...

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At a business school conference with 100 attendees, are there any students of the same age...

by BTGmoderatorLU » Thu Apr 09, 2020 5:23 am

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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.

The OA is C
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Source: — Data Sufficiency |
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Re: At a business school conference with 100 attendees, are there any students of the same age...

by deloitte247 » Sat Apr 11, 2020 12:46 am

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Last edited by deloitte247 on Sat Apr 11, 2020 12:50 am, edited 1 time in total.
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Re: At a business school conference with 100 attendees, are there any students of the same age...

by deloitte247 » Sat Apr 11, 2020 12:49 am

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Total attendees = 100
Question=> Are there any students of the same age (rounded to the nearest year) who attend the same school?

i.e Among all those who attended the business school conference, are there any attendees who attend the same school in the same age bracket or group?

Statement 1=> The range of ages of the participant is 20 to 30 inclusive i.e all the 10 attendees are within the age range of 22 to 30
Therefore, total age brackets/groups present = 22 to 30 = 30 - 22 = 8
The total number of schools represented is unknown, so there is no way to ascertain if more than 1 student from the same school is in the same age bracket. Statement 1 is NOT SUFFICIENT.

Statement 2=> Participants represent 10 business schools i.e all the 100 participants are from 10 different schools but their age range is unknown, so there is no way to ascertain if more than 1 student from the same school is in the same age bracket.

Combining both statements together=>
Total students/attendees = 100
Age bracket = 8
Total number of schools = 10
From the given dataset, all 10 schools are represented and all age brackets are represented.
If there is at least 1 person/student from all schools in all age brackets, the total attendees = 8 * 10 = 80
So for total attendees to = 100, there must be at least 2 students from the same school in the same age bracket.

Both statements combined together are SUFFICIENT
Answer = C
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