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Which of the following is not a statemen...

Which of the following is not a statement-

A

Give me a glass of water

B

Asia is a continent

C

The earth revolved round the sun

D

The number 6 has two prime factors 2,3

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given options is not a statement, we need to understand what constitutes a statement in mathematical reasoning. A statement is a declarative sentence that can be classified as either true or false. If a sentence cannot be classified as true or false, it is not considered a statement. ### Step-by-Step Solution: 1. **Understand the Definition of a Statement**: A statement is a sentence that can be clearly identified as either true or false. For example, "The sky is blue" is a statement because it can be verified as true or false. 2. **Analyze Each Option**: We will evaluate each option to see if it can be classified as true or false. - **Option 1**: "Give me a glass of water." - This is a request and does not convey a truth value. We cannot classify it as true or false. - **Option 2**: "Asia is a continent." - This is a factual statement that can be verified as true. - **Option 3**: "The Earth revolves around the Sun." - This is also a factual statement that can be verified as true. - **Option 4**: "Number 6 has 2 prime factors: 2 and 3." - This statement can be verified as true since the prime factors of 6 are indeed 2 and 3. 3. **Conclusion**: After analyzing all the options, we find that Option 1 ("Give me a glass of water") is not a statement because it does not have a truth value. Therefore, the answer to the question "Which of the following is not a statement?" is Option 1. ### Final Answer: **Option 1** is not a statement.
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