In each of the following number series only one Is wrong . Find out the wrong number in the given number series
141 156 147 162 153 165 159

Options

A. 156
B. 153
C. 147
D. 165

Answer

To find the wrong number in the series: 141, 156, 147, 162, 153, 165, 159, we will analyze the differences between consecutive terms and look for a pattern.

### Step-by-Step Solution:

1. **Identify the series**: The series given is 141, 156, 147, 162, 153, 165, 159.

2. **Calculate the differences between consecutive terms**:
- From 141 to 156:
\[ 156 - 141 = 15 \]
- From 156 to 147:
\[ 147 - 156 = -9 \]
- From 147 to 162:
\[ 162 - 147 = 15 \]
- From 162 to 153:
\[ 153 - 162 = -9 \]
- From 153 to 165:
\[ 165 - 153 = 12 \]
- From 165 to 159:
\[ 159 - 165 = -6 \]

3. **List the differences**:
- The differences are: +15, -9, +15, -9, +12, -6.

4. **Look for a pattern**:
- The expected pattern appears to be alternating between adding 15 and subtracting 9. However, the last two differences break this pattern:
- After 153, we should have added 15, but we see that we added 12 instead.
- The next difference should have been -9, but it is -6 instead.

5. **Determine the wrong number**:
- If we follow the established pattern, after 153, we should have:
\[ 153 + 15 = 168 \]
- Therefore, the number that should be in place of 165 is 168.

6. **Conclusion**:
- The wrong number in the series is **165**.

### Final Answer:
The wrong number in the series is **165**.