confusing

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CITI29: Senior | Next Rank: 100 Posts; Posts: 93; Joined: Tue Mar 18, 2008 9:28 am; Thanked: 2 times

by CITI29 » Sun Jul 13, 2008 4:07 pm

Are all of the numbers in a certain list of 15 numbers
equal?

(1) The sum of all the numbers in the list is 60
(2) The sum of any 3 numbers in the list is 12.

ans is 'b' ...pls explain

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Source: Beat The GMAT — Data Sufficiency | Sun Jul 13, 2008 4:07 pm

Delph: Newbie | Next Rank: 10 Posts; Posts: 5; Joined: Thu Jun 19, 2008 1:27 pm

Re: confusing

by Delph » Tue Jul 15, 2008 9:50 am

CITI29 wrote:Are all of the numbers in a certain list of 15 numbers
equal?

(1) The sum of all the numbers in the list is 60
(2) The sum of any 3 numbers in the list is 12.

ans is 'b' ...pls explain

1) can be:
4+4+4...+4 - True
5+3+4+...+4 - False
=>Not A or D
2) If the sum of ANY 3 numbers is 12 - it means that n could only be equal to 4. Thus it's always TRUE - all of the numbers are equal.

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