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    Question

    A company has two departments, X and Y, and each department has managers and assistants. The number of managers and assistants in these departments is unknown. Answer the question based on the information given below. What is the ratio of the number of managers in Department X to the number of managers in Department Y?

    Statements:

    1. The total number of managers in Department X is 20% more than the total number of assistants in Department Y.

    2. The total number of employees in Department X is 50% more than the total number of employees in Department

    Y. The ratio of managers to assistants in Department Y is 2:3.

    A Statement 1 alone is sufficient, but statement 2 alone is not sufficient. Correct Answer Incorrect Answer
    B Statement 2 alone is sufficient, but statement 1 alone is not sufficient. Correct Answer Incorrect Answer
    C Both statements together are sufficient, but neither alone is sufficient. Correct Answer Incorrect Answer
    D Each statement alone is sufficient. Correct Answer Incorrect Answer
    E Statements 1 and 2 together are not sufficient. Correct Answer Incorrect Answer

    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.

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