In the following number series only one number is wrong . Find out the wrong number.
`5" "55" "495" "3465" "17325" "34650`

Options

A. 495
B. 34650
C. 55
D. 17325

Answer

To find the wrong number in the series `5, 55, 495, 3465, 17325, 34650`, we will analyze the pattern of multiplication between the numbers.

### Step-by-Step Solution:

1. **Identify the first number and its pattern**:
- The first number is `5`.
- Let's see how we can get the second number from the first number.

2. **Calculate the second number**:
- The second number is `55`.
- We can see that `55 = 5 * 11`.

3. **Calculate the third number**:
- The third number is `495`.
- We can check if `495` can be derived from `55`.
- `495 = 55 * 9`.

4. **Calculate the fourth number**:
- The fourth number is `3465`.
- We check if `3465` can be derived from `495`.
- `3465 = 495 * 7`.

5. **Calculate the fifth number**:
- The fifth number is `17325`.
- We check if `17325` can be derived from `3465`.
- `17325 = 3465 * 5`.

6. **Calculate the sixth number**:
- The sixth number is `34650`.
- We check if `34650` can be derived from `17325`.
- `34650 = 17325 * 2`.

### Summary of the pattern:
- The series appears to follow a pattern of multiplication:
- `5 * 11 = 55`
- `55 * 9 = 495`
- `495 * 7 = 3465`
- `3465 * 5 = 17325`
- **However, `17325 * 2` does not equal `34650`.**

### Identify the wrong number:
- The multiplication pattern breaks after `17325`. The expected number should have been `17325 * 3 = 51975` instead of `34650`.

### Conclusion:
- The wrong number in the series is `34650`.

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