In the following number series only one number is wrong . Find out the wrong number.
`4" "5" "12" "38" "160" "805" "4836`

Options

A. 12
B. 160
C. 38
D. 805

Answer

To find the wrong number in the series `4, 5, 12, 38, 160, 805, 4836`, we can analyze the pattern in the sequence step by step.

### Step-by-Step Solution:

1. **Identify the Series**: We have the series:
\[ 4, 5, 12, 38, 160, 805, 4836 \]

2. **Look for a Pattern**: We will check if there is a consistent pattern in how the numbers are generated.

3. **Examine the Relationship**:
- From 4 to 5:
\[ 4 \times 1 + 1 = 5 \]
- From 5 to 12:
\[ 5 \times 2 + 2 = 12 \]
- From 12 to 38:
\[ 12 \times 3 + 3 = 36 + 3 = 39 \quad (\text{This does not match, as we have 38}) \]

4. **Continue the Pattern**:
- If we assume the next number should be 39 instead of 38, we can check the subsequent numbers:
- From 39 to 160:
\[ 39 \times 4 + 4 = 156 + 4 = 160 \quad (\text{This matches}) \]
- From 160 to 805:
\[ 160 \times 5 + 5 = 800 + 5 = 805 \quad (\text{This matches}) \]

5. **Conclusion**: Since the number 38 does not fit the pattern (it should be 39), we conclude that the wrong number in the series is:
\[ \text{Wrong Number: } 38 \]