**Problems on Ages – Data Sufficiency 1**

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. |
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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 Thus, I and II together give the answer. So, correct answer is (E). |

3. |
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Let Divya’s present age be D years and Shruti’s present age b S years Then, D = 2 x S From (ii), we get : 5D + 25 = 9S + 45 From (iii), we get : D – 10 = 3S – 30 Thus, from (i) and (ii), we get the answer. Also, from (i) and (iii), we get the answer. |

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