Which one of the following statement is true ?

Options

A. The product of three odd numbers is an even number
B. The difference of an even number and an odd number can be an even number
C. The sum of two odd numbers and one even number is an even number
D. The sum of three odd numbers is an even number

Answer

To determine which of the following statements is true, we will evaluate each statement one by one:

1. **The product of three odd numbers is an even number.**
- Let's take three odd numbers: 3, 5, and 7.
- Calculate the product: \(3 \times 5 \times 7 = 15 \times 7 = 105\).
- Since 105 is odd, this statement is **false**.

2. **The difference of an even number and an odd number can be an even number.**
- Let's take an even number (e.g., 16) and an odd number (e.g., 3).
- Calculate the difference: \(16 - 3 = 13\).
- Since 13 is odd, this statement is **false**.

3. **The sum of two odd numbers and one even number is an even number.**
- Let's take two odd numbers (e.g., 3 and 5) and one even number (e.g., 2).
- Calculate the sum: \(3 + 5 + 2 = 8\).
- Since 8 is even, this statement is **true**.

4. **The sum of three odd numbers is an even number.**
- Let's take three odd numbers (e.g., 3, 5, and 7).
- Calculate the sum: \(3 + 5 + 7 = 15\).
- Since 15 is odd, this statement is **false**.

After evaluating all the statements, we find that the only true statement is:

**The sum of two odd numbers and one even number is an even number.**