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Aptitude - Problems on Ages - Discussion

Discussion Forum : Problems on Ages - Data Sufficiency 1 (Q.No. 2)
Problems on Ages
Directions to Solve

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.
2.

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 alone sufficient while II alone not sufficient to answer
II alone sufficient while I alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: Option
Explanation:

 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).

Discussion:
33 comments Page 2 of 4.
Nick said:   6 years ago
@All.

Here, 40 is the number of employees not the age. How we are adding 40 to 1500. Can any one explain the purpose of 40 step wise step?
Priya said:   1 decade ago
Because its mentioned 10 employees retire next year.

Whereas current employee no is 50.

So 50-10 =40 employees will be there next year.
Ashwini said:   1 decade ago
They have added 40 because, next year no. of people are 50-10=40 and each of their age will increase by 1.

So 1500-60*10+40 = 940.
Archana said:   1 decade ago
I still didn't understand as we doing division with 40 in the last so why to add 40 before in 1500-60810-40 before.
Vikrant said:   6 years ago
Instead of adding only 40, we don't have to add 40x10 because age of every employee have to increase by 10.
(2)
Saujanya said:   1 decade ago
Why have they deducted 60*10 ? and can someonbe explain stepwise. I take time understanding such things.
Radha said:   1 decade ago
Here 60*10 means 10 employees are retired...and the retire age is 60.

Thats why 60*10.
Nagendra said:   1 decade ago
First year average is 30*50 next year ten member retried 10 members 40 one year 40*1.
Rachit said:   2 decades ago
Why do we add 40 in this (1500-600+40) while calculating the total age of 40 people.
Ritu said:   1 decade ago
I don't understand why we had subtracted 600 instead of 590 in line (1500+40-600)?
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