Find the wrong number in the following number series.
158,156,168,148,176,140,184

Options

A. 158
B. 148
C. 140
D. 156

Answer

To find the wrong number in the series 158, 156, 168, 148, 176, 140, 184, we will analyze the differences between consecutive terms step by step.

### Step 1: Write down the series
The given series is:
- 158, 156, 168, 148, 176, 140, 184

### Step 2: Calculate the differences between consecutive terms
1. **Difference between 158 and 156**:
- 158 - 156 = 2
2. **Difference between 156 and 168**:
- 168 - 156 = 12
3. **Difference between 168 and 148**:
- 168 - 148 = 20
4. **Difference between 148 and 176**:
- 176 - 148 = 28
5. **Difference between 176 and 140**:
- 176 - 140 = 36
6. **Difference between 140 and 184**:
- 184 - 140 = 44

Now, we have the differences:
- 2, 12, 20, 28, 36, 44

### Step 3: Analyze the differences
Next, we will look at the differences between these differences:
1. **Difference between 2 and 12**:
- 12 - 2 = 10
2. **Difference between 12 and 20**:
- 20 - 12 = 8
3. **Difference between 20 and 28**:
- 28 - 20 = 8
4. **Difference between 28 and 36**:
- 36 - 28 = 8
5. **Difference between 36 and 44**:
- 44 - 36 = 8

Now, we have:
- 10, 8, 8, 8, 8

### Step 4: Identify the inconsistency
The first difference is 10, while all subsequent differences are 8. This indicates that there is an inconsistency in the series.

### Step 5: Determine the correct number
To maintain a consistent pattern, the first difference should also be 8. If we assume that the difference between the first two numbers should be 8 instead of 2, we can calculate the correct first number:
- If the second number is 156, then the first number should be:
- 156 + 8 = 164

Thus, the first term should be 164 instead of 158.

### Conclusion
The wrong number in the series is **158**.

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