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 statement is true, we will evaluate each of the four statements provided.

### Step-by-Step Solution:

1. **Evaluate the first statement**: "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 an odd number, the first statement is **incorrect**.

2. **Evaluate the second statement**: "The difference of an even number and an odd number can be an even number."
- Let's take an even number (2) and an odd number (5).
- Calculate the difference:
\[ 5 - 2 = 3 \]
- Since 3 is an odd number, this statement is also **incorrect**.

3. **Evaluate the third statement**: "The sum of two odd numbers and one even number is an even number."
- Let's take two odd numbers (3 and 5) and one even number (2).
- Calculate the sum:
\[ 3 + 5 + 2 = 8 \]
- Since 8 is an even number, this statement is **correct**.

4. **Evaluate the fourth statement**: "The sum of three odd numbers is an even number."
- Let's take three odd numbers: 3, 5, and 7.
- Calculate the sum:
\[ 3 + 5 + 7 = 15 \]
- Since 15 is an odd number, this statement is **incorrect**.

### Conclusion:
The only true statement among the options is the third one: "The sum of two odd numbers and one even number is an even number."