Which of the following numbers when rounded off to the nearest hundred gives 15900?

Options

A. 14955
B. 14999
C. 15086
D. 15899

Answer

To determine which number rounds off to 15,900 when rounded to the nearest hundred, we need to understand how rounding works.

### Step-by-Step Solution:

1. **Identify the Range for Rounding**:
- When rounding to the nearest hundred, any number from 15,850 to 15,949 will round to 15,900.
- This means that:
- The lower limit is 15,850.
- The upper limit is 15,949.

2. **Check Each Option**:
- We need to check each of the given options to see if they fall within this range.

3. **Evaluate Each Option**:
- **Option 1: 15,006**
- This number is less than 15,850, so it rounds to 15,000.
- **Option 2: 14,999**
- This number is also less than 15,850, so it rounds to 15,000.
- **Option 3: 15,899**
- This number is within the range (15,850 to 15,949), so it rounds to 15,900.
- **Option 4: 15,900**
- This number is exactly 15,900, so it rounds to 15,900.

4. **Conclusion**:
- The numbers that round to 15,900 are 15,899 and 15,900.
- If we consider the options given, the only option that fits the requirement is **Option 3: 15,899**.

### Final Answer:
The number that rounds off to 15,900 when rounded to the nearest hundred is **15,899**.