Write the converse of each of the following statements, In which cases is the converse true ?
If Mr. Saxena is elected to office, then all our problems are over.,

Answer

To find the converse of the given statement, we will follow these steps:

### Step 1: Identify the Statements
Let:
- \( P \): Mr. Saxena is elected to office.
- \( Q \): All our problems are over.

The original statement can be expressed as:
"If \( P \), then \( Q \)" or \( P \rightarrow Q \).

### Step 2: Write the Converse
The converse of a statement of the form "If \( P \), then \( Q \)" is "If \( Q \), then \( P \)" or \( Q \rightarrow P \).

Thus, the converse of the original statement is:
"If all our problems are over, then Mr. Saxena is elected to office."

### Step 3: Determine When the Converse is True
To analyze when the converse is true, we need to consider the logical implications of the statements \( P \) and \( Q \). The converse is true if whenever \( Q \) is true, \( P \) is also true.

- If all our problems are indeed over, it could imply that Mr. Saxena's election was a contributing factor to resolving those problems. However, it is also possible that problems could be resolved by other means unrelated to Mr. Saxena's election.

Thus, the truth of the converse depends on the specific context and circumstances surrounding the statements.

### Final Answer
The converse is:
"If all our problems are over, then Mr. Saxena is elected to office."