In the following number series only one is wrong . Find out the wrong number.
निम्नलिखित संख्या श्रृंखला में केवल एक गलत है। गलत नंबर का पता लगाएं:
`850" "843 " "829" "808" "788" "745" "703`

Options

A. 843
B. 829
C. 808
D. 788

Answer

To solve the problem of finding the wrong number in the series `850, 843, 829, 808, 788, 745, 703`, we can follow these steps:

### Step 1: Identify the differences between consecutive numbers in the series.
- **Difference between 850 and 843**:
\[ 850 - 843 = 7 \]
- **Difference between 843 and 829**:
\[ 843 - 829 = 14 \]
- **Difference between 829 and 808**:
\[ 829 - 808 = 21 \]
- **Difference between 808 and 788**:
\[ 808 - 788 = 20 \]
- **Difference between 788 and 745**:
\[ 788 - 745 = 43 \]
- **Difference between 745 and 703**:
\[ 745 - 703 = 42 \]

### Step 2: List the differences.
The differences we calculated are:
- 7
- 14
- 21
- 20
- 43
- 42

### Step 3: Analyze the pattern in the differences.
We notice that:
- The first difference is 7.
- The second difference is 14 (which is 7 + 7).
- The third difference is 21 (which is 14 + 7).
- The fourth difference is 20 (which breaks the pattern).
- The fifth difference is 43 (which is not consistent with the previous differences).
- The sixth difference is 42 (which is also inconsistent).

### Step 4: Identify the expected difference.
From the pattern, it seems that the differences should increase by 7 each time:
- 7, 14, 21, 28 (expected), ...

### Step 5: Find the wrong number.
Since the fourth difference should be 28 instead of 20, we can find the correct number that should replace 808:
- If we subtract 28 from 829, we get:
\[ 829 - 28 = 801 \]
Thus, the number 808 is incorrect and should be replaced with 801.

### Conclusion:
The wrong number in the series is **808**.

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