In each of the following questions, a is followed by information given in three statements. You have to decide the information given in which of the statements is necessary and sufficient to answer the question.
What is monthly salary of an assistant of company in which managers, supervisors and assistants are appointed ?
(1) Each supervisor gets more than an assistant by Rs. 12000 per month.
(2)Total salary of a supervisor and an assistant is Rs. 32000 per month.
(3) Total salary of a manager and a supervisor is Rs. 57000 per month.

Options

A. Either (1) or (2) and (3)
B. Only (1) and (2)
C. Any two of (1), (2) and (3)
D. (1), (2) and (3) all the three are necessary

Answer

To solve the problem of determining the monthly salary of an assistant in a company where managers, supervisors, and assistants are appointed, we will analyze the given statements one by one.

### Step-by-Step Solution:

1. **Define Variables**:
- Let the salary of an assistant be \( A \).
- Let the salary of a supervisor be \( S \).
- Let the salary of a manager be \( M \).

2. **Analyze Statement (1)**:
- Statement (1) says: "Each supervisor gets more than an assistant by Rs. 12000 per month."
- This can be expressed mathematically as:
\[ S = A + 12000 \]
- This statement alone does not provide enough information to determine \( A \) since we need another equation.

3. **Analyze Statement (2)**:
- Statement (2) states: "Total salary of a supervisor and an assistant is Rs. 32000 per month."
- This can be expressed as:
\[ S + A = 32000 \]
- We can substitute \( S \) from Statement (1) into this equation:
\[ (A + 12000) + A = 32000 \]
\[ 2A + 12000 = 32000 \]
\[ 2A = 32000 - 12000 \]
\[ 2A = 20000 \]
\[ A = 10000 \]
- Thus, Statement (2) combined with Statement (1) allows us to find \( A \).

4. **Analyze Statement (3)**:
- Statement (3) states: "Total salary of a manager and a supervisor is Rs. 57000 per month."
- This can be expressed as:
\[ M + S = 57000 \]
- However, this statement does not provide any direct information about the assistant's salary \( A \) without knowing \( M \) or \( S \).

5. **Conclusion**:
- From the analysis, we can conclude that:
- Statement (1) alone is not sufficient.
- Statement (2) alone is not sufficient.
- Statement (3) does not help in finding \( A \) directly.
- However, combining Statement (1) and Statement (2) gives us enough information to find the salary of the assistant.

### Final Answer:
The monthly salary of the assistant is Rs. 10,000.