What value will come in place of question mark (?) in number-series given below- 276, ?, 414, 1242, 621, 1863

Options

A. a) 552
B. b) 138
C. c) 828
D. d) 107

Answer

To solve the number series problem: 276, ?, 414, 1242, 621, 1863, we need to identify the pattern in the series.

### Step-by-Step Solution:

1. **Identify the Pattern**:
The series appears to alternate between multiplying by 3 and multiplying by 0.5. Let's break it down step by step.

2. **First Operation**:
Starting with the first number, 276, we will multiply it by 3.
\[ 276 \times 3 = 828 \]

3. **Second Operation**:
Next, we take the result from the first operation (828) and multiply it by 0.5.
\[ 828 \times 0.5 = 414 \]

4. **Continue the Pattern**:
Now, we can check if this pattern holds for the next numbers in the series:
- From 414, we multiply by 3:
\[ 414 \times 3 = 1242 \]
- From 1242, we multiply by 0.5:
\[ 1242 \times 0.5 = 621 \]
- From 621, we multiply by 3:
\[ 621 \times 3 = 1863 \]

5. **Conclusion**:
The value that comes in place of the question mark (?) is 828.

### Final Answer:
The value that will come in place of question mark (?) is **828**.