What will come in place of questions mark (?) in the following number series ?
`"48 66 132 150 300 318 ?"`

Options

A. 363
B. 336
C. 636
D. 663

Answer

To find the missing number in the series: 48, 66, 132, 150, 300, 318, ?, we need to identify the pattern in the sequence.

### Step-by-Step Solution:

1. **Identify the Sequence**:
The given series is: 48, 66, 132, 150, 300, 318.

2. **Calculate the Differences**:
Let's calculate the differences between consecutive terms:
- 66 - 48 = 18
- 132 - 66 = 66
- 150 - 132 = 18
- 300 - 150 = 150
- 318 - 300 = 18

So, the differences are: 18, 66, 18, 150, 18.

3. **Observe the Pattern**:
From the differences, we can see that every second difference is 18. The other differences (66 and 150) seem to be increasing.

4. **Identify the Next Difference**:
The pattern appears to alternate between adding 18 and a larger number. The larger numbers are increasing: 66, 150.

5. **Predict the Next Larger Difference**:
The differences seem to be increasing significantly. If we look at the differences:
- 66 to 150 is an increase of 84.
- If we follow this pattern, we can assume the next larger difference might increase by a similar amount.

6. **Calculate the Next Term**:
If we assume the next larger difference is 150 + 84 = 234, we would add this to the last number in the series:
- 318 + 234 = 552.

7. **Final Answer**:
Therefore, the number that comes in place of the question mark (?) is **552**.