oquiella wrote:35. Is Johnson more than 40 years of age?
(1) The average age of 20 employees in Johnson's office is 48.
(2) Johnson is among the 3 oldest employees in his office in which the age of
retirement is 60 years
Statement 1:
Sum of the ages = (number of employees)(average age) = 20*48 = 960.
Here, it's possible that J=40 or that J>40.
INSUFFICIENT.
Statement 2:
Since the age of retirement is 60, it's possible that J=40 or that J>40.
INSUFFICIENT.
Statements combined:
Let the 3 oldest employees be J, K and L.
Test whether it's possible that J=40.
Since the age of retirement is 60, the maximum possible age for K and L is 60.
Since J, K and L are the 3 oldest -- and J=40 -- the maximum possible age for each of the remaining 17 employees = 39.
Thus:
Maximum possible sum of all of the ages = (sum of the greatest possible ages for J, K and L) + (sum of the greatest possible ages for the remaining 17 employees) = (40+60+60) + (17*39) = 160 + 663 = 823.
Not viable:
The sum of the ages must be 960.
Since J=40 yields a maximum sum that is TOO SMALL, J's age must be GREATER THAN 40.
SUFFICIENT.
The correct answer is
C.
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