Find the wrong number in the series.
225, 206, 188, 176, 165, 158, 153
दी गई श्रृंखला में से गलत संख्या ज्ञात कीजिये।
225, 206, 188,176, 165, 158, 153

Options

A. A. 225
B. B. 188
C. C. 176
D. D. 153

Explanation

To find the wrong number in the series 225, 206, 188, 176, 165, 158, and 153, we will analyze the differences between consecutive numbers.

### Step-by-step Solution:

1. **List the Series**:
The given series is:
\[ 225, 206, 188, 176, 165, 158, 153 \]

2. **Calculate the Differences**:
We will calculate the difference between each pair of consecutive numbers:
- \( 225 - 206 = 19 \)
- \( 206 - 188 = 18 \)
- \( 188 - 176 = 12 \)
- \( 176 - 165 = 11 \)
- \( 165 - 158 = 7 \)
- \( 158 - 153 = 5 \)

So, the differences are:
\[ 19, 18, 12, 11, 7, 5 \]

3. **Analyze the Differences**:
Now, let's analyze the differences:
- The first difference is 19.
- The second difference is 18.
- The third difference is 12.
- The fourth difference is 11.
- The fifth difference is 7.
- The sixth difference is 5.

The differences do not follow a consistent pattern. However, we notice that the differences 19, 18, 12, 11, 7, and 5 seem to fluctuate.

4. **Identify the Anomaly**:
We observe that the difference of 18 (between 206 and 188) is significantly larger than the subsequent differences. The differences after that decrease more consistently.

5. **Check for a Correct Number**:
To maintain a more consistent pattern in the differences, let's replace 188 with a number that would create a more uniform decrease.

If we replace 188 with 189:
- The new differences would be:
- \( 225 - 206 = 19 \)
- \( 206 - 189 = 17 \)
- \( 189 - 176 = 13 \)
- \( 176 - 165 = 11 \)
- \( 165 - 158 = 7 \)
- \( 158 - 153 = 5 \)

The new differences would be:
\[ 19, 17, 13, 11, 7, 5 \]
This shows a more consistent pattern of decreasing differences.

6. **Conclusion**:
Therefore, the wrong number in the series is **188**.

### Final Answer:
The wrong number in the series is **188**.

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