45, 99, 153, 198, 222, 333

Options

A. 99
B. 153
C. 198
D. 222

Explanation

To determine which number in the series 45, 99, 153, 198, 222, 333 is incorrect, we will analyze the series step by step.

### Step 1: Identify the Pattern
First, we need to look for a pattern in the series. We can check the differences between consecutive terms.

- Difference between 99 and 45:
\( 99 - 45 = 54 \)

- Difference between 153 and 99:
\( 153 - 99 = 54 \)

- Difference between 198 and 153:
\( 198 - 153 = 45 \)

- Difference between 222 and 198:
\( 222 - 198 = 24 \)

- Difference between 333 and 222:
\( 333 - 222 = 111 \)

### Step 2: Analyze the Differences
Now, let's list the differences we found:
- 54, 54, 45, 24, 111

The differences do not follow a consistent pattern, which suggests that one of the numbers might be incorrect.

### Step 3: Check Each Number
We will check each number to see if changing one of them can create a consistent pattern in the differences.

1. **Checking 45**:
- If we replace 45 with a number that fits the pattern, we can try 54 (the next number in the series).
- New series: 54, 99, 153, 198, 222, 333
- Differences: 45, 54, 45, 24, 111 (still inconsistent)

2. **Checking 99**:
- If we replace 99 with a number that fits the pattern, we can try 108 (54 + 54).
- New series: 45, 108, 153, 198, 222, 333
- Differences: 63, 45, 45, 24, 111 (still inconsistent)

3. **Checking 153**:
- If we replace 153 with a number that fits the pattern, we can try 144 (108 + 36).
- New series: 45, 99, 144, 198, 222, 333
- Differences: 54, 45, 54, 24, 111 (still inconsistent)

4. **Checking 198**:
- If we replace 198 with a number that fits the pattern, we can try 189 (144 + 45).
- New series: 45, 99, 153, 189, 222, 333
- Differences: 54, 54, 36, 33, 111 (still inconsistent)

5. **Checking 222**:
- If we replace 222 with a number that fits the pattern, we can try 216 (189 + 27).
- New series: 45, 99, 153, 198, 216, 333
- Differences: 54, 54, 45, 18, 117 (still inconsistent)

6. **Checking 333**:
- If we replace 333 with a number that fits the pattern, we can try 324 (216 + 108).
- New series: 45, 99, 153, 198, 222, 324
- Differences: 54, 54, 45, 24, 102 (still inconsistent)

### Conclusion
After checking all numbers, we find that the number **222** does not fit the pattern as it disrupts the sequence of differences. Therefore, the incorrect number in the series is **222**.