What will come in place of the questions mark (?) in the following number series ?
`1876,?,1648,1363,964`

Options

A. 1729
B. 1863
C. 1849
D. 1819

Answer

To solve the number series question: `1876, ?, 1648, 1363, 964`, we need to identify the pattern in the differences between the numbers.

### Step-by-Step Solution:

1. **Identify the Known Numbers**:
The series we have is:
- First number: 1876
- Second number: ?
- Third number: 1648
- Fourth number: 1363
- Fifth number: 964

2. **Calculate the Differences Between Known Numbers**:
- Difference between 1363 and 964:
\[ 1363 - 964 = 399 \]
- Difference between 1648 and 1363:
\[ 1648 - 1363 = 285 \]

3. **Establish a Pattern**:
Now we have two differences:
- 399 (from 1363 to 964)
- 285 (from 1648 to 1363)

4. **Calculate the Difference Between the Differences**:
- Difference between 399 and 285:
\[ 399 - 285 = 114 \]

5. **Assuming the Differences Continue to Decrease by 114**:
If we continue this pattern, we can find the difference between the second number (the one we need to find) and 1648.
- The next difference would be:
\[ 285 - 114 = 171 \]

6. **Calculate the Second Number**:
Now we can find the second number by subtracting 171 from 1648:
\[ 1648 - 171 = 1477 \]

7. **Check the Difference Between 1876 and 1477**:
Now, we need to ensure that the difference between 1876 and 1477 follows the pattern:
\[ 1876 - 1477 = 399 \]
This is consistent with our previous calculations.

### Conclusion:
The number that should replace the question mark (?) in the series is **1477**.