What will come in place of question mark(?) in the given number series?
3 ? 32 48 61 77

Options

A. 19
B. 12
C. 14
D. 18

Answer

To find the value that will replace the question mark (?) in the number series: 3, ?, 32, 48, 61, 77, we can analyze the differences between the numbers in the series.

### Step-by-Step Solution:

1. **Identify the Known Numbers**: The series is 3, ?, 32, 48, 61, 77. We need to find the value of the question mark.

2. **Calculate the Differences Between Known Numbers**:
- Difference between 32 and 48:
\[ 48 - 32 = 16 \]
- Difference between 48 and 61:
\[ 61 - 48 = 13 \]
- Difference between 61 and 77:
\[ 77 - 61 = 16 \]

3. **Observe the Pattern in Differences**: The differences we calculated are:
- 32 to 48: 16
- 48 to 61: 13
- 61 to 77: 16

This suggests a pattern of alternating differences: 16, 13, 16.

4. **Determine the Difference Before 32**: Since the pattern alternates, the difference before 32 should be 13 (following the pattern):
\[ 32 - 13 = 19 \]

5. **Verify the Calculation**: Now we can check if adding 16 to the number before 32 (which we found to be 19) gives us 32:
\[ 19 + 13 = 32 \]
This confirms our calculation.

6. **Conclusion**: Therefore, the value that will replace the question mark (?) is 19.

### Final Answer:
The value that comes in place of the question mark (?) is **19**.