Find the wrong term in the following number series questions.
140,137,131,120,110,95,77

Options

A. A)140
B. B)120
C. C)131
D. D)77

Answer

To find the wrong term in the series 140, 137, 131, 120, 110, 95, 77, we will analyze the differences between the consecutive terms and identify any inconsistencies.

### Step-by-Step Solution:

1. **Identify the terms in the series:**
The series is: 140, 137, 131, 120, 110, 95, 77.

2. **Calculate the differences between consecutive terms:**
- 140 - 137 = 3
- 137 - 131 = 6
- 131 - 120 = 11
- 120 - 110 = 10
- 110 - 95 = 15
- 95 - 77 = 18

So, the differences are: 3, 6, 11, 10, 15, 18.

3. **Look for a pattern in the differences:**
The differences do not seem to follow a simple arithmetic or geometric progression. However, we can observe that the differences should ideally follow a pattern based on multiples of 3:
- The expected differences could be: 3, 6, 9, 12, 15, 18.

4. **Compare the calculated differences with the expected pattern:**
- The first difference is 3 (correct).
- The second difference is 6 (correct).
- The third difference should be 9, but we have 11 instead.
- The fourth difference should be 12, but we have 10 instead.
- The fifth difference is 15 (correct).
- The sixth difference is 18 (correct).

5. **Identify the wrong term:**
The third term should have been 131 - 9 = 122 instead of 120. Therefore, the wrong term in the series is 120.

6. **Conclusion:**
The wrong term in the series is **120**.