What will come in place of the question mark (?) in the following number series +?
10 28 63 132 269 ?

Options

A. 356
B. 480
C. 440
D. 542

Answer

To solve the number series: 10, 28, 63, 132, 269, ?, we need to identify the pattern in the series.

### Step-by-Step Solution:

1. **Identify the Pattern**:
We will look at how each number is derived from the previous number in the series.

2. **Calculate the Differences**:
- From 10 to 28:
- \( 10 \times 2 + 8 = 28 \)
- From 28 to 63:
- \( 28 \times 2 + 7 = 63 \)
- From 63 to 132:
- \( 63 \times 2 + 6 = 132 \)
- From 132 to 269:
- \( 132 \times 2 + 5 = 269 \)

3. **Continue the Pattern**:
Now, we will apply the same pattern to find the next number after 269:
- Multiply 269 by 2 and add 4:
- \( 269 \times 2 + 4 \)

4. **Perform the Calculation**:
- Calculate \( 269 \times 2 = 538 \)
- Then add 4:
- \( 538 + 4 = 542 \)

5. **Conclusion**:
The next number in the series is 542.

### Final Answer:
The number that will come in place of the question mark (?) is **542**.