What value will come in place of question mark (?) in the number series given below?
8, 12, 18, 27,40.5, ?

Options

A. 603.5
B. 607.5
C. 608
D. None of these

Answer

To find the value that will replace the question mark (?) in the series 8, 12, 18, 27, 40.5, we can observe the pattern in the series.

### Step-by-step Solution:

1. **Identify the first term**: The first term in the series is 8.

2. **Calculate the second term**: The second term is 12. We can see that:
\[ 12 = 8 \times \frac{3}{2} \]
This means the second term is 1.5 times the first term.

3. **Calculate the third term**: The third term is 18. We can see that:
\[ 18 = 12 \times \frac{3}{2} \]
This means the third term is also 1.5 times the second term.

4. **Calculate the fourth term**: The fourth term is 27. We can see that:
\[ 27 = 18 \times \frac{3}{2} \]
Again, this means the fourth term is 1.5 times the third term.

5. **Calculate the fifth term**: The fifth term is 40.5. We can see that:
\[ 40.5 = 27 \times \frac{3}{2} \]
This means the fifth term is 1.5 times the fourth term.

6. **Calculate the sixth term (the question mark)**: To find the value that replaces the question mark, we will multiply the fifth term (40.5) by \(\frac{3}{2}\):
\[ ? = 40.5 \times \frac{3}{2} \]
First, calculate \(40.5 \div 2 = 20.25\), then multiply by 3:
\[ 20.25 \times 3 = 60.75 \]

Thus, the value that will come in place of the question mark (?) is **60.75**.