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Which of the following statements is cor...

Which of the following statements is correct?

A

Zero is an odd number

B

Zero is an even number

C

Zero is a prime number

D

Zero is neither odd nor even number

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given statements about the number 0 is correct, we will analyze each option step by step. ### Step 1: Analyze the statements We have four statements to evaluate: 1. 0 is an odd number. 2. 0 is an even number. 3. 0 is a prime number. 4. 0 is neither odd nor even. ### Step 2: Evaluate each statement **Statement 1: 0 is an odd number.** - An odd number is defined as any integer that is not divisible by 2. Since 0 divided by 2 equals 0, it is divisible by 2. Therefore, 0 is not an odd number. **Statement 2: 0 is an even number.** - An even number is defined as any integer that is divisible by 2. Since 0 divided by 2 equals 0, it is divisible by 2. Therefore, 0 is an even number. **Statement 3: 0 is a prime number.** - A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. Since 0 is not greater than 1, it cannot be considered a prime number. **Statement 4: 0 is neither odd nor even.** - This statement is incorrect because we have already established that 0 is an even number. ### Step 3: Conclusion From the analysis: - Statement 1 is incorrect (0 is not odd). - Statement 2 is correct (0 is even). - Statement 3 is incorrect (0 is not prime). - Statement 4 is incorrect (0 is even, so it cannot be neither). Thus, the correct answer is **0 is an even number**. ### Summary of the Correct Statement The correct statement is: **0 is an even number.**
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