Question

How many employees of bank 'X' opted for VRS?
Statement I. 18% of the 950 officer cadre employees and 6%of the 1100 of all other cadre employees opted for VRS.
Statement II. 28%of the employees in the age group of 51 to 56 and 17% of the employees in all other age groups opted for VRS.

• A. If the data in statement I alone are sufficient to answer the question,while the data in statement II alone not sufficient to answer the question;
• B. If the data in statement II alone are sufficient to answer the question,while the data in statement I all are not sufficient to answer the question;
• C. If the data either in statement I alone or in statement II alone are sufficient to answer the question;
• D. If the data even in both statements I and II together are not sufficient to answer the question;
• E. If the data in both statements I and II together are necessary to answer the question.

Answer 1

The correct option is A If the data in statement I alone are sufficient to answer the question,while the data in statement II alone not sufficient to answer the question;

1. From I, we have, number of employees who opted for VRS $=18\%$ of $950+6\%$ of $1100=171+66=237$. SUFFICIENT.
2. From II, $28\%$ of the employees in the age group of $51$ to $56$ and $17\%$ of the employees in all other age groups opted for VRS. But we cannot get the required answer until and unless the number of employees in age-group $51$ to $56$ and other age-groups is known. NOT SUFFICIENT.
   

• Hence, the data in statement I alone are sufficient to answer the question, while the data in statement II alone not sufficient to answer the question.