Which of the following is a logical statement

Options

A. Are you going to Kolakata?
B. Give me a pen
C. He will be next chiefminister
D. Sum of two irrational number is always irrational

Answer

To determine which of the given options is a logical statement, we need to understand the definition of a logical statement. A logical statement is one that can be classified as either true or false, but not both.

Let's analyze each option step-by-step:

1. **Option A: "Are you going to Kolkata?"**
- This is a question, not a statement. It does not have a definitive true or false value as it depends on the person's situation. Therefore, this is not a logical statement.

2. **Option B: "Give me a pen."**
- This is a command or request. It does not convey a truth value (true or false) but rather asks for an action. Hence, this is also not a logical statement.

3. **Option C: "He will be the next chief minister."**
- This is a prediction about the future. We cannot definitively classify it as true or false at this moment since it depends on future events. Thus, this is not a logical statement.

4. **Option D: "The sum of two irrational numbers is always irrational."**
- This is a declarative statement that can be evaluated for truth. It is a known mathematical fact that the sum of two irrational numbers can be rational or irrational, depending on the specific numbers chosen. Therefore, this statement is false, but it can be classified as a logical statement because it can be evaluated as either true or false.

Based on this analysis, the only logical statement among the options provided is:

**Answer: Option D - "The sum of two irrational numbers is always irrational."**