In the following number series only one number is wrong. Find out the wrong number.
`2" "54" "300" "1220" "3674" "7350`

Options

A. 3674
B. 1220
C. 300
D. 54

Answer

To solve the problem of identifying the wrong number in the series `2, 54, 300, 1220, 3674, 7350`, we will analyze the pattern in the series step by step.

### Step 1: Identify the Pattern
We start by examining how each number in the series relates to the previous number.

1. **First Term (2)**:
- Multiply by 6: \(2 \times 6 = 12\)
- Add \(7 \times 6\): \(12 + 42 = 54\)

2. **Second Term (54)**:
- Multiply by 5: \(54 \times 5 = 270\)
- Add \(6 \times 5\): \(270 + 30 = 300\)

3. **Third Term (300)**:
- Multiply by 4: \(300 \times 4 = 1200\)
- Add \(5 \times 4\): \(1200 + 20 = 1220\)

4. **Fourth Term (1220)**:
- Multiply by 3: \(1220 \times 3 = 3660\)
- Add \(4 \times 3\): \(3660 + 12 = 3672\)

5. **Fifth Term (3672)**:
- Multiply by 2: \(3672 \times 2 = 7344\)
- Add \(3 \times 2\): \(7344 + 6 = 7350\)

### Step 2: Compare with Given Series
Now, we compare our calculated values with the given series:

- Given series: `2, 54, 300, 1220, 3674, 7350`
- Calculated values: `2, 54, 300, 1220, 3672, 7350`

### Step 3: Identify the Wrong Number
From our calculations, we see that instead of `3674`, the correct number should be `3672`. Thus, the wrong number in the series is:

**Wrong Number: 3674**

### Summary of Steps
1. Identify the pattern of multiplication and addition in the series.
2. Calculate each term based on the identified pattern.
3. Compare the calculated terms with the given series to find discrepancies.