36, 48, 510, 612, 714, 818

Options

A. 510
B. 612
C. 714
D. 818

Explanation

To solve the problem of identifying the wrong number in the series: 36, 48, 510, 612, 714, 818, we will analyze the pattern step by step.

### Step 1: Identify the Pattern
We start by examining the first two numbers in the series: 36 and 48.

- **First Number (36)**:
- First digit: 3
- Second digit: 6

- **Second Number (48)**:
- First digit: 4
- Second digit: 8

**Observation**:
- The first digit increases by 1 (3 → 4).
- The second digit increases by 2 (6 → 8).

### Step 2: Continue the Pattern
Now, let's apply the same pattern to find the next numbers in the series.

- **From 48 to the next number**:
- First digit: 4 + 1 = 5
- Second digit: 8 + 2 = 10 (but we treat it as a two-digit number, so we keep it as 10).

Thus, the next number should be 510.

### Step 3: Check the Next Number
Now, let's check the number after 510, which is 612.

- **From 510 to 612**:
- First digit: 5 + 1 = 6
- Second digit: 10 + 2 = 12.

So the next number should be 612, which is correct.

### Step 4: Continue to the Next Number
Next, we check the number after 612, which is 714.

- **From 612 to 714**:
- First digit: 6 + 1 = 7
- Second digit: 12 + 2 = 14.

So the next number should be 714, which is also correct.

### Step 5: Check the Last Number
Finally, we check the last number in the series, which is 818.

- **From 714 to 818**:
- First digit: 7 + 1 = 8
- Second digit: 14 + 2 = 16.

The expected number should be 816, not 818.

### Conclusion
Thus, the wrong number in the series is **818**. The correct number should be **816**.