In each of these question a number series is given in which one number is wrong find out wrong number
27 34 51 75 107 147 195

Options

A. 107
B. 34
C. 147
D. 51

Answer

To find the wrong number in the series: 27, 34, 51, 75, 107, 147, 195, we will analyze the differences between consecutive numbers.

### Step-by-step Solution:

1. **Identify the Series**:
The given series is: 27, 34, 51, 75, 107, 147, 195.

2. **Calculate the Differences**:
- Difference between 34 and 27:
\( 34 - 27 = 7 \)
- Difference between 51 and 34:
\( 51 - 34 = 17 \)
- Difference between 75 and 51:
\( 75 - 51 = 24 \)
- Difference between 107 and 75:
\( 107 - 75 = 32 \)
- Difference between 147 and 107:
\( 147 - 107 = 40 \)
- Difference between 195 and 147:
\( 195 - 147 = 48 \)

So, the differences are: 7, 17, 24, 32, 40, 48.

3. **Analyze the Differences**:
Next, we look for a pattern in the differences:
- The differences seem to be increasing but not consistently. Let's check the differences between the differences:
- Difference between 17 and 7:
\( 17 - 7 = 10 \)
- Difference between 24 and 17:
\( 24 - 17 = 7 \)
- Difference between 32 and 24:
\( 32 - 24 = 8 \)
- Difference between 40 and 32:
\( 40 - 32 = 8 \)
- Difference between 48 and 40:
\( 48 - 40 = 8 \)

The second-level differences are: 10, 7, 8, 8, 8.

4. **Identify the Anomaly**:
The first difference (7) and the second difference (17) show a significant jump. The expected pattern should be more consistent.

5. **Correct the Series**:
If we assume the first difference should have been 8 instead of 7, then:
- The first number should be \( 27 + 8 = 35 \) instead of 34.
- Therefore, 34 is identified as the wrong number.

6. **Conclusion**:
The wrong number in the series is **34**.