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Which of the following is not a statemen...

Which of the following is not a statement-

A

3 is an even number

B

New Delhi is in India

C

Every squar is a rectangle

D

Today is Monday

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given options is not a statement, we first need to understand what constitutes a statement in mathematical reasoning. A statement is defined as a sentence that is either true or false, but not both. Let's analyze each option one by one: 1. **Option 1: "3 is an even number."** - This statement can be evaluated. We know that 3 is not an even number; it is an odd number. Therefore, the truth value of this statement is false. Since it has a definitive truth value (false), it qualifies as a statement. 2. **Option 2: "New Delhi is in India."** - This statement can also be evaluated. It is a fact that New Delhi is indeed in India. Thus, the truth value of this statement is true. Since it has a definitive truth value (true), it qualifies as a statement. 3. **Option 3: "Every square is a rectangle."** - This statement can be evaluated as well. By definition, a square is a special type of rectangle where all sides are equal and all angles are right angles. Therefore, this statement is true. Since it has a definitive truth value (true), it qualifies as a statement. 4. **Option 4: "Today is Monday."** - This statement is context-dependent. If today is indeed Monday, then the statement is true. However, if we say this statement on a different day (e.g., Tuesday), then it becomes false. Since the truth value of this statement can change depending on the day, it does not have a definitive truth value. Therefore, it does not qualify as a statement. Based on this analysis, the option that is not a statement is: **Answer: Option 4: "Today is Monday."**
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