The average age of a department's personnel is 30 years. Ten employees will retire in the coming year. What will the average age be in a year's time? I. The retirement age is 60. II. The department has a total of 50 workers.
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are necessary to answer
Answer:D
The average age of a department's personnel is 30 years. Ten employees will retire in the coming year. What will the average age be in a year's time? I. The retirement age is 60. II. The department has a total of 50 workers.
A. I alone sufficient while II alone not sufficient to answer B. II alone sufficient while I alone not sufficient to answer C. Either I or II alone sufficient to answer D. Both I and II are necessary to answer
Explanation: I. The retirement age is 60 years old.II. The department has a total of 50 workers.50 employees have an average age of 30 years.The total age of the 50 employees is 1500 years (50 x 30).The number of employees for the next year is set at 40.Next year's total age of 40 employees is 940 (1500 + 40 - 60 x 10)Next year's average age will be 940/40 years, or 23 1/2 years.As a result, the solution is given by combining I and II. So, the proper response is (E).