What will come in place of question mark (?) in the given number series?
0.25 4 32 128 256 ?

Options

A. 264
B. 256
C. 312
D. 268

Answer

To solve the given number series: 0.25, 4, 32, 128, 256, ?, we need to identify the pattern in the series.

### Step-by-Step Solution:

1. **Identify the Pattern**:
- Start with the first two numbers: 0.25 and 4.
- To find the relationship, we can see how we get from 0.25 to 4.
- \( 0.25 \times 16 = 4 \)

2. **Continue the Pattern**:
- Next, look at the transition from 4 to 32.
- \( 4 \times 8 = 32 \)

3. **Next Transition**:
- Now, transition from 32 to 128.
- \( 32 \times 4 = 128 \)

4. **Next Transition**:
- Now, transition from 128 to 256.
- \( 128 \times 2 = 256 \)

5. **Finding the Next Number**:
- Now we need to find the next number after 256.
- Following the pattern, we see that the multipliers are decreasing: 16, 8, 4, 2.
- The next multiplier should be \( 1 \).
- Therefore, \( 256 \times 1 = 256 \).

6. **Conclusion**:
- The number that comes in place of the question mark (?) is **256**.

### Final Answer:
The value that comes in place of the question mark (?) is **256**.

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