What will come in place of the question mark (?) in the following number series?
`41" "164" " 2624" "?" "6045696`

Options

A. A)104244
B. B)94644
C. C)94464
D. D)102444

Answer

To solve the number series: 41, 164, 2624, ?, 6045696, we need to identify the pattern in the series.

### Step-by-Step Solution:

1. **Identify the Pattern**:
- The first term is 41.
- The second term is 164.
- The third term is 2624.
- The last term is 6045696.

2. **Finding the Relationship**:
- From 41 to 164:
\[ 41 \times 4 = 164 \]
- From 164 to 2624:
\[ 164 \times 16 = 2624 \]
- Here, we see that \(4 = 2^2\) and \(16 = 4^2\).

3. **Continuing the Pattern**:
- The next multiplier should be \(64\) (which is \(8^2\)).
- Therefore, we can denote the fourth term as \(K\):
\[ K = 2624 \times 64 \]

4. **Calculating K**:
- Now, let's calculate \(K\):
\[ K = 2624 \times 64 \]
- Performing the multiplication:
\[ K = 2624 \times 64 = 167488 \]

5. **Finding the Last Term**:
- Now, we should verify if the last term follows the pattern:
- The last term is \(6045696\), and it should be:
\[ 167488 \times 256 \]
- Since \(256 = 16^2\), we can check:
\[ 167488 \times 256 = 6045696 \]

Thus, the missing term in the series is **167488**.

### Final Answer:
The value that comes in place of the question mark (?) is **167488**.