23, 27, 43, 107, 235, 1387

Options

A. 23
B. 27
C. 107
D. 235

Explanation

To solve the series: 23, 27, 43, 107, 235, 1387, we will analyze the pattern in the series step by step.

### Step 1: Identify the pattern
We start with the first number in the series, which is 23.

### Step 2: Calculate the difference to the next number
To get from 23 to 27, we add:
\[ 27 - 23 = 4 \]
This can be expressed as \( 4^1 \).

### Step 3: Continue with the next number
Next, we move from 27 to 43:
\[ 43 - 27 = 16 \]
This can be expressed as \( 4^2 \).

### Step 4: Move to the next number
Now, we go from 43 to 107:
\[ 107 - 43 = 64 \]
This can be expressed as \( 4^3 \).

### Step 5: Continue to the next number
Next, we calculate the difference from 107 to the next number:
\[ 235 - 107 = 128 \]
This should be \( 4^4 = 256 \) instead of 128.

### Step 6: Calculate the correct next number
If we add \( 4^4 \) to 107, we get:
\[ 107 + 256 = 363 \]

### Step 7: Move to the last number
Now we check the next number in the series:
\[ 1387 - 363 = 1024 \]
This can be expressed as \( 4^5 \).

### Conclusion
The correct series should be:
23, 27, 43, 107, 363, 1387.
Thus, the wrong number in the series is 235, and it should be replaced with 363.

### Final Answer
The wrong number in the series is **235**, which should be **363**.

---