Question are based on number/figure series. In each series missing term is mentioned by question mark (?). Find out the missing term in given alternatives and write its alternative number against the correct question number on your answer sheet-
16, 19, 28, 43, 64, ?

Options

A. 91
B. 86
C. 97
D. 76

Answer

To find the missing term in the series 16, 19, 28, 43, 64, ?, we can analyze the differences between the consecutive terms.

1. **Identify the series**:
The series is: 16, 19, 28, 43, 64, ?

2. **Calculate the differences between consecutive terms**:
- 19 - 16 = 3
- 28 - 19 = 9
- 43 - 28 = 15
- 64 - 43 = 21

So, the differences are: 3, 9, 15, 21.

3. **Identify the pattern in the differences**:
Now, let's look at the differences:
- The first difference is 3.
- The second difference is 9 (which is 3 + 6).
- The third difference is 15 (which is 9 + 6).
- The fourth difference is 21 (which is 15 + 6).

We can see that the differences are increasing by 6 each time.

4. **Calculate the next difference**:
Following the pattern, the next difference should be:
- 21 + 6 = 27.

5. **Add the next difference to the last term of the series**:
Now, we add this difference to the last known term in the series:
- 64 + 27 = 91.

6. **Conclusion**:
Therefore, the missing term in the series is 91.

### Final Answer:
The missing term is **91**.