When N is divided by 10 the remainder is 8. What is the remainder when N is divided by 5.

Options

A. 3
B. 2
C. 1
D. 4

Answer

To solve the problem step by step, we start with the information given:

1. **Understanding the problem**: We know that when \( N \) is divided by 10, the remainder is 8. This can be expressed mathematically as:
\[ N = 10k + 8 \]
where \( k \) is some integer.

2. **Finding the remainder when \( N \) is divided by 5**: We want to find \( N \mod 5 \). We can substitute the expression for \( N \):
\[ N \mod 5 = (10k + 8) \mod 5 \]

3. **Breaking it down**: We can separate the terms in the expression:
\[ N \mod 5 = (10k \mod 5 + 8 \mod 5) \]

4. **Calculating \( 10k \mod 5 \)**: Since \( 10 \) is a multiple of \( 5 \), we have:
\[ 10k \mod 5 = 0 \]

5. **Calculating \( 8 \mod 5 \)**: Now we calculate the remainder of \( 8 \) when divided by \( 5 \):
\[ 8 \mod 5 = 3 \]

6. **Combining the results**: Now we can combine the results from steps 4 and 5:
\[ N \mod 5 = 0 + 3 = 3 \]

Thus, the remainder when \( N \) is divided by \( 5 \) is **3**.

### Final Answer:
The remainder when \( N \) is divided by \( 5 \) is **3**.