Aptitude - Problems on Ages - Discussion
Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and
- Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
- Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
- Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
Average age of employees working in a department is 30 years. In the next year, ten workers will retire. What will be the average age in the next year? | |
I. | Retirement age is 60 years. |
II. | There are 50 employees in the department. |
I. Retirement age is 60 years.
II. There are 50 employees in the department.
Average age of 50 employees = 30 years.
Total age of 50 employees = (50 x 30) years = 1500 years.
Number of employees next year = 40.
Total age of 40 employees next year (1500 + 40 - 60 x 10) = 940.
| Average age next year = | 940 | years = 23 | 1 | years. |
| 40 | 2 |
Thus, I and II together give the answer. So, correct answer is (E).
50*30 + 50 = 1550.
10 employees retire then;
10*60 = 600,
So leftover total ages and leftover total employees;
950/40 = 23.75.
There are 50 employees working in the department, and their average age is 30 years.
So their total age will be 50* 30=1500yrs.
Next year 10 employee will leave the department meaning that their present age is 59 years and so as those 10 employee are leaving next year, their age will be 60yrs, so the total age will be 60'-10=600.
Now the difference between the total age of employees before and after will be 1500-600=900yrs.
Now the total age of the remaining 40 employees will be 40*1=40yrs.
Since both of these conditions are considered to be a year after it would be 900+40=940yrs.
And the average age will be 940/40=23.5yrs.