What will come in place of the questions mark (?) in the following number series ?
`1152,576,1728,864,?`

Options

A. 1800
B. 3032
C. 4250
D. 2592

Answer

To find the missing number in the series `1152, 576, 1728, 864, ?`, we can analyze the pattern in the series.

1. **Identify the pattern:**
- Start with the first two numbers: 1152 and 576.
- Notice that 1152 is divided by 2 to get 576.
- Next, we have 576 and 1728.
- Here, 576 is multiplied by 3 to get 1728.
- Then, we have 1728 and 864.
- In this case, 1728 is divided by 2 to get 864.

2. **Continue the pattern:**
- Following the established pattern, we see that the operations alternate between division by 2 and multiplication by 3.
- The next operation after 864 should be multiplication by 3 (since the last operation was division by 2).

3. **Calculate the missing number:**
- Multiply 864 by 3:
\[ 864 \times 3 = 2592 \]

4. **Conclusion:**
- Therefore, the number that comes in place of the question mark (?) is **2592**.

### Final Answer:
The missing number is **2592**.