6 अंकीय छोटी से छोटी से छोटी तथा 4-अंकीय बड़ी-से-बड़ी संख्या में अन्तर है?

Options

A. 90001
B. 91000
C. 90100
D. 90010

Answer

To solve the problem of finding the difference between the smallest 6-digit number and the largest 4-digit number, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the smallest 6-digit number**:
- The smallest 6-digit number is formed by using the smallest non-zero digit followed by zeros. The smallest non-zero digit is 1.
- Therefore, the smallest 6-digit number is **100000**.

2. **Identify the largest 4-digit number**:
- The largest 4-digit number is formed by using the largest digit (which is 9) in all four places.
- Therefore, the largest 4-digit number is **9999**.

3. **Calculate the difference**:
- Now, we need to find the difference between the smallest 6-digit number and the largest 4-digit number.
- We perform the subtraction:
\[ 100000 - 9999 \]

4. **Perform the calculation**:
- First, we can rewrite the subtraction:
\[ 100000 - 9999 = 100000 - 9999 = 90001 \]

5. **Conclusion**:
- The difference between the smallest 6-digit number and the largest 4-digit number is **90001**.

### Final Answer:
The difference is **90001**.

---