What will come in place of question mark (?) in the following series questions?
23,29,?,41,47,53

Options

A. A)33
B. B)35
C. C)37
D. D)36

Answer

To find the missing number in the series 23, 29, ?, 41, 47, 53, we can analyze the differences between the consecutive terms.

### Step-by-Step Solution:

1. **Identify the given series**:
The series is: 23, 29, ?, 41, 47, 53.

2. **Calculate the difference between the known consecutive terms**:
- From 23 to 29:
\[ 29 - 23 = 6 \]
- From 41 to 47:
\[ 47 - 41 = 6 \]
- From 47 to 53:
\[ 53 - 47 = 6 \]

3. **Establish a pattern**:
We see that there is a consistent difference of 6 between some of the terms. This suggests that the series may have a constant addition of 6.

4. **Use the established pattern to find the missing term**:
- Since we have 29 and the next known term is 41, we can find the missing term (let's call it \( k \)) by checking the difference:
- From 29 to \( k \) and from \( k \) to 41:
\[ k - 29 = 6 \quad \text{(if we follow the pattern)} \]
\[ k = 29 + 6 = 35 \]

5. **Verify the next difference**:
- Now, check the difference from \( k \) to 41:
\[ 41 - 35 = 6 \]
- This confirms that our value for \( k \) is correct.

6. **Conclusion**:
Thus, the missing number in the series is:
\[ \boxed{35} \]