Which of the following is a proposition ?

Options

A. I am an advocate
B. A half open door is half closed
C. Delhi on the jupiter
D. none of these

Explanation

To determine which of the given options is a proposition, we need to understand what a proposition is. A proposition is a declarative statement that is either true or false, but not both.

Let's analyze the options step by step:

### Step 1: Analyze Option 1
**Statement:** "I am an advocate."
- This statement cannot be definitively classified as true or false without additional context. We cannot ascertain the truth value of this statement based solely on the information given.
- **Conclusion:** This is not a proposition.

### Step 2: Analyze Option 2
**Statement:** "A half-open door is half-closed."
- This statement is ambiguous and does not clearly convey a truth value. It is unclear whether it can be classified as true or false because it depends on interpretation.
- **Conclusion:** This is not a proposition.

### Step 3: Analyze Option 3
**Statement:** "Delhi is on Jupiter."
- This statement can be evaluated for its truth value. We know that Delhi is located on Earth, not Jupiter. Therefore, this statement is definitively false.
- **Conclusion:** This is a proposition because it is a clear statement that can be classified as false.

### Step 4: Analyze Option 4
**Statement:** "None of these."
- This statement claims that none of the previous options are propositions. Since we have determined that option 3 is indeed a proposition, this statement is false.
- **Conclusion:** This is not a proposition.

### Final Conclusion:
The only statement that qualifies as a proposition is **Option 3: "Delhi is on Jupiter,"** as it can be definitively classified as false.

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