confusing

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confusing

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
Source: — Data Sufficiency |

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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.