What will come in place of (?) in the following number series?
?,190,210,238,274,318

Options

A. 170
B. 198
C. 186
D. 178

Answer

To find the missing number in the series ?, 190, 210, 238, 274, 318, we will analyze the differences between the consecutive terms.

### Step-by-Step Solution:

1. **Write down the series**:
The series is: ?, 190, 210, 238, 274, 318.

2. **Calculate the differences between the known terms**:
- From 190 to 210:
\[ 210 - 190 = 20 \]
- From 210 to 238:
\[ 238 - 210 = 28 \]
- From 238 to 274:
\[ 274 - 238 = 36 \]
- From 274 to 318:
\[ 318 - 274 = 44 \]

So, the differences are: 20, 28, 36, 44.

3. **Identify the pattern in the differences**:
Now, let's look at the differences:
- 20
- 28
- 36
- 44

The difference between each of these differences is:
- From 20 to 28:
\[ 28 - 20 = 8 \]
- From 28 to 36:
\[ 36 - 28 = 8 \]
- From 36 to 44:
\[ 44 - 36 = 8 \]

This shows that the differences are increasing by 8 each time.

4. **Find the previous difference**:
To find the difference before 20, we subtract 8:
\[ 20 - 8 = 12 \]

5. **Calculate the missing term**:
Now, we need to find the term before 190 using the difference we just calculated (12):
\[ 190 - 12 = 178 \]

6. **Conclusion**:
The missing term in the series is 178.

### Final Answer:
The number that will come in place of (?) is **178**.