Exercise :: Problems on Ages  Data Sufficiency 1
 Problems on Ages  Important Formulas
 Problems on Ages  General Questions
 Problems on Ages  Data Sufficiency 1
 Problems on Ages  Data Sufficiency 2
 Problems on Ages  Data Sufficiency 3
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.
1. 


Answer: Option E Explanation:
II. S  5 = 25 (D  5) S = 25D  120 ....(ii)
4S = 120. S = 30. Thus, I and II both together give the answer. So, correct answer is (E). 
2. 


Answer: Option E 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.
Thus, I and II together give the answer. So, correct answer is (E). 
3. 


Answer: Option C Explanation: Let Divya's present age be D years and Shruti's present age b S years Then, D = 2 x S D  2S = 0 ....(i)
From (ii), we get : 5D + 25 = 9S + 45 5D  9S = 20 ....(iv) From (iii), we get : D  10 = 3S  30 D  3S = 20 ....(v) Thus, from (i) and (ii), we get the answer. Also, from (i) and (iii), we get the answer. I alone as well as II alone give the answer. Hence, the correct answer is (C). 