In the following series only one number is wrong. Find out the wrong number.
`"9050 , 5675 , 3478 , 2147 , 1418 ,1077, 950"`

Options

A. 3478
B. 1418
C. 5675
D. 1077

Answer

To find the wrong number in the series `9050, 5675, 3478, 2147, 1418, 1077, 950`, we will analyze the pattern in the series step by step.

### Step 1: Identify the pattern
We will check if there is a consistent pattern in how the numbers are decreasing.

### Step 2: Calculate the differences
Let's calculate the differences between consecutive numbers:

1. From 9050 to 5675:
\[ 9050 - 5675 = 3375 \]

2. From 5675 to 3478:
\[ 5675 - 3478 = 2197 \]

3. From 3478 to 2147:
\[ 3478 - 2147 = 1331 \]

4. From 2147 to 1418:
\[ 2147 - 1418 = 729 \]

5. From 1418 to 1077:
\[ 1418 - 1077 = 341 \]

6. From 1077 to 950:
\[ 1077 - 950 = 127 \]

### Step 3: Analyze the differences
Now we have the differences:
- 3375
- 2197
- 1331
- 729
- 341
- 127

We can notice that the differences seem to be decreasing in a pattern related to cubes:
- \(15^3 = 3375\)
- \(13^3 = 2197\)
- \(11^3 = 1331\)
- \(9^3 = 729\)

However, the next difference, \(7^3 = 343\), does not match with \(341\).

### Step 4: Identify the wrong number
Since the difference from 2147 to 1418 should have been \(343\) instead of \(341\), we can find the correct number by adding \(343\) back to \(2147\):
\[ 2147 - 343 = 1804 \]

Thus, the number \(1418\) is incorrect. The correct number should be \(1804\).

### Conclusion
The wrong number in the series is **1418**.