A company has two departments, X and Y, and each

Solution

From Statement 1: We know that managers in Department X are 20% more than assistants in Department Y. However, without knowing the actual number or ratio of assistants and managers in either department, we can't determine the exact ratio of managers between the departments.  Thus, Statement 1 alone is not sufficient. From Statement 2: We have the total number of employees in Department X is 50% more than in Department Y. Also, we know the ratio of managers to assistants in Department Y is 2:3. But without knowing how this applies to Department X or any exact numbers,  we cannot determine the specific ratio of managers between X and Y.  Thus, Statement 2 alone is not sufficient. Combining Statements 1 and 2: Even with both statements, we lack the necessary exact values for either the managers or assistants in either department to calculate the precise ratio between the managers in X and Y. Correct Answer: (e) Statements 1 and 2 together are not sufficient.