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 2 of 4.

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

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)

Santhosh s said:   9 years ago
@Lakshmi.

We added 40 because the remaining 40 employees age will be increased by 1 in the next year hence we have to add 40 to calculate the sum of ages all 40 employees.

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.

Nagalakshmi said:   1 decade ago
How we consider both one and two statements are correct or wrong? In the solution we solve using two statements I am getting confusion. Will you tell me?

Jiten reddy said:   1 decade ago
I am not getting anything sir.

Nagendra said:   1 decade ago
First year average is 30*50 next year ten member retried 10 members 40 one year 40*1.

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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