When 1234 .......41 digits, is divided by 8, the remainder obtained is ?

Options

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

Answer

To find the remainder when the number formed by writing the digits from 1 to 41 (i.e., 123456789101112...3940) is divided by 8, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Last Three Digits**:
The rule for divisibility by 8 states that we only need to consider the last three digits of the number. The last three digits of our number (which is formed by writing the digits from 1 to 41) are "041".

2. **Convert the Last Three Digits to a Number**:
The last three digits "041" can be treated as the number 41.

3. **Divide by 8**:
Now, we will divide 41 by 8 to find the remainder.
\[ 41 \div 8 = 5 \quad \text{(since } 8 \times 5 = 40\text{)} \]
The remainder can be calculated as:
\[ 41 - 40 = 1 \]

4. **Conclusion**:
Therefore, the remainder when the entire number is divided by 8 is 1.

### Final Answer:
The remainder obtained when the number is divided by 8 is **1**.