Aptitude - Problems on Ages - Discussion

Discussion Forum : Problems on Ages - Data Sufficiency 1 (Q.No. 2)
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 3 of 4.

Madhavi said:   7 years ago
I couldn't understand this method. Please explain this problem in another method.

Vakula said:   8 years ago
I am not understanding anything in this problem. Please explain me clearly.

Vaibhav Anand Sharma said:   9 years ago
Either it should be 1500 + 50 - (60 * 10) or 1500 + 40 - (59 * 10).
(1)

Arindam said:   1 decade ago
I think it will be either (1500+50-60*10) or (1500+40-59*10).

Lakshmi said:   10 years ago
Please explain how 910+40/40?

Why 40 has added to 910?

Richa said:   10 years ago
Please explain in brief I am not getting this.

Shahu said:   1 decade ago
How we got the 40 as a employee next year?

Deepu said:   5 years ago
How did you add 1500 years + 40 employees?
(3)

Gvb said:   1 decade ago
Thanks Ashwini, I got it now :).

Ramesh said:   8 years ago
Yes, you are correct @Vaibhav.


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