Are all 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.
OA is B..............Couldn't the sum of any 3 numbers be 4+4+4, 1+2+9, 0+1+11.....There is no indication that 0 is not considered a number. I think I am not reading something correctly. Please advise.
GMAT PAPER TEST DS
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The sum of any 3 numbers is 12 (this means if u pick any three numbers in the list then the sum should be or is 12OA is B..............Couldn't the sum of any 3 numbers be 4+4+4, 1+2+9, 0+1+11.....There is no indication that 0 is not considered a number. I think I am not reading something correctly. Please advise
From your example 1+2+9, 0+1+11 - > TRUE
but 1 +2 + 11 is not 12
Hope this helps!
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Quick clue: whenever u see a statement like "sum of any x numbers in the set is y", u can almost be sure that all the numbers are the same and will probably be = y/x.
This is a very big restriction imposed on the set and kind of makes the set "well behaved" (kind of forcing all the naughty kids to walk in a single file)
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This is a very big restriction imposed on the set and kind of makes the set "well behaved" (kind of forcing all the naughty kids to walk in a single file)
HT Helps
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Stmt I
Sum of 15 numbers is 60
4 repeated 14 times then 1 and 3 - sum 60 numbers not equal -NO
4 repeated 15 times -All numbers are equal YES
INSUFF
Stmt II
The sum of any three numbers is 12. The only way this is possible is if all numbers are 4. If u pick any other number in the list sum of any 3 numbers will not be 12
Sum of any 3 means no matter which 3 u pick the sum must be 12. It is easy to confuse this with sum of just 3 numbers u pick from the list is 12 and the rest not.
SUFF
Choose B)
Sum of 15 numbers is 60
4 repeated 14 times then 1 and 3 - sum 60 numbers not equal -NO
4 repeated 15 times -All numbers are equal YES
INSUFF
Stmt II
The sum of any three numbers is 12. The only way this is possible is if all numbers are 4. If u pick any other number in the list sum of any 3 numbers will not be 12
Sum of any 3 means no matter which 3 u pick the sum must be 12. It is easy to confuse this with sum of just 3 numbers u pick from the list is 12 and the rest not.
SUFF
Choose B)