Find the wrong number in following number series.
`189," "186," "181," "174," "165," "155," "141`

Options

A. A)189
B. B)181
C. C)165
D. D)155

Answer

To find the wrong number in the given series: 189, 186, 181, 174, 165, 155, 141, we will analyze the pattern of differences between the consecutive terms.

### Step-by-Step Solution:

1. **Identify the Series**:
The series provided is:
- 189, 186, 181, 174, 165, 155, 141

2. **Calculate the Differences**:
We will calculate the differences between each consecutive pair of numbers:
- 189 - 186 = 3
- 186 - 181 = 5
- 181 - 174 = 7
- 174 - 165 = 9
- 165 - 155 = 10
- 155 - 141 = 14

So, the differences are:
- 3, 5, 7, 9, 10, 14

3. **Look for a Pattern**:
The differences seem to follow a pattern:
- The first three differences (3, 5, 7) increase by 2.
- The next difference is 9, which continues the pattern.
- However, the difference from 165 to 155 is 10, which breaks the expected pattern of increasing by 2.

4. **Identify the Expected Difference**:
Following the established pattern, after 9, the next difference should be 11 (not 10). Thus, if we subtract 11 from 165:
- 165 - 11 = 154

5. **Check the Last Term**:
If we continue the pattern:
- From 154 to 141, the difference would be:
- 154 - 141 = 13, which fits the pattern of increasing differences (3, 5, 7, 9, 11, 13).

6. **Conclusion**:
Since 155 does not fit the pattern and should be 154 instead, we conclude that the wrong number in the series is **155**.

### Final Answer:
The wrong number in the series is **155**.