Direction: In the following number series questions one number is wrong. Find out the wrong number.
188 154 140 132 128 126 125

Options

A. 128
B. 132
C. 154
D. 140

Answer

To find the wrong number in the series: 188, 154, 140, 132, 128, 126, 125, we will analyze the differences between consecutive numbers and identify the pattern.

### Step-by-Step Solution:

1. **Write down the series**:
- The series is: 188, 154, 140, 132, 128, 126, 125.

2. **Calculate the differences between consecutive numbers**:
- 188 - 154 = 34
- 154 - 140 = 14
- 140 - 132 = 8
- 132 - 128 = 4
- 128 - 126 = 2
- 126 - 125 = 1

So, the differences are: 34, 14, 8, 4, 2, 1.

3. **Identify the pattern in the differences**:
- The differences seem to be decreasing, but not in a consistent manner. Let's analyze them:
- 34 (first difference)
- 14 (second difference)
- 8 (third difference)
- 4 (fourth difference)
- 2 (fifth difference)
- 1 (sixth difference)

4. **Look for a consistent pattern**:
- The differences do not follow a consistent halving or subtraction pattern. However, if we look closely, we can see that the differences are not decreasing consistently.
- If we assume that the second difference should have been 16 instead of 14, we would have:
- 188 - 172 = 16 (instead of 34)
- 172 - 140 = 32 (instead of 14)
- 140 - 132 = 8
- 132 - 128 = 4
- 128 - 126 = 2
- 126 - 125 = 1

5. **Check for the wrong number**:
- If we replace 154 with 172, the series would be:
- 188, 172, 140, 132, 128, 126, 125.
- Now, let's check the differences:
- 188 - 172 = 16
- 172 - 140 = 32
- 140 - 132 = 8
- 132 - 128 = 4
- 128 - 126 = 2
- 126 - 125 = 1
- This shows a consistent pattern of halving the differences.

6. **Conclusion**:
- The wrong number in the series is **154**.