What should come in place of question mark (?) in the given number series ?
47 48 51 60 87 ?

Options

A. 164
B. 105
C. 145
D. 168

Answer

To solve the number series: 47, 48, 51, 60, 87, ?, we will look for a pattern in the differences between the numbers.

### Step-by-Step Solution:

1. **Identify the series**: The given series is 47, 48, 51, 60, 87, ?.

2. **Calculate the differences between consecutive terms**:
- 48 - 47 = 1
- 51 - 48 = 3
- 60 - 51 = 9
- 87 - 60 = 27

So, the differences are: 1, 3, 9, 27.

3. **Analyze the differences**:
- The differences seem to follow a pattern. Let's look at the differences:
- 1 = 3^0
- 3 = 3^1
- 9 = 3^2
- 27 = 3^3

This indicates that the differences are powers of 3.

4. **Find the next difference**:
- Following the pattern, the next difference should be 3^4, which is 81.

5. **Add this difference to the last term of the series**:
- The last term in the series is 87.
- So, we calculate: 87 + 81 = 168.

6. **Conclusion**:
- The number that should come in place of the question mark (?) is 168.

### Final Answer:
The answer is 168.