Find the wrong number in the following number series questions.
12,14,31,96,393,1971,11833

Options

A. 393
B. 31
C. 96
D. 1971

Answer

To find the wrong number in the series: 12, 14, 31, 96, 393, 1971, 11833, we will analyze the pattern of the series step by step.

### Step-by-Step Solution:

1. **Identify the Series**:
The series is: 12, 14, 31, 96, 393, 1971, 11833.

2. **Look for a Pattern**:
We need to find a consistent pattern in the series. Let's check how each number relates to the next.

3. **Calculate Differences**:
- From 12 to 14: \( 14 - 12 = 2 \)
- From 14 to 31: \( 31 - 14 = 17 \)
- From 31 to 96: \( 96 - 31 = 65 \)
- From 96 to 393: \( 393 - 96 = 297 \)
- From 393 to 1971: \( 1971 - 393 = 1578 \)
- From 1971 to 11833: \( 11833 - 1971 = 9852 \)

4. **Look for Multiplicative Patterns**:
Instead of just differences, let's see if we can find a multiplicative pattern:
- \( 12 \times 1 + 2 = 14 \)
- \( 14 \times 2 + 3 = 31 \)
- \( 31 \times 3 + 4 = 97 \) (Expected: 97, but we have 96)
- \( 96 \times 4 + 5 = 389 \) (Expected: 389, but we have 393)
- \( 393 \times 5 + 6 = 1971 \) (This matches)
- \( 1971 \times 6 + 7 = 11833 \) (This matches)

5. **Identify the Wrong Number**:
The pattern indicates that after 31, the next number should be 97 (not 96). Therefore, the wrong number in the series is **96**.

6. **Conclusion**:
The wrong number in the series is **96**.