2, 4, 11, 37, 154, 771, 4633

Options

A. 11
B. 2
C. 154
D. 37

Explanation

To find the odd one out in the series: 2, 4, 11, 37, 154, 771, 4633, we will analyze the pattern of the series step by step.

### Step 1: Identify the pattern
We start with the first number in the series, which is 2. We need to see how we can get to the next number, which is 4.

**Hint:** Look for a multiplication and addition pattern between consecutive numbers.

### Step 2: Calculate the transition from 2 to 4
To go from 2 to 4:
- We can multiply 2 by 2 (2 * 2 = 4).

### Step 3: Calculate the transition from 4 to 11
Next, we go from 4 to 11:
- We can multiply 4 by 2 (4 * 2 = 8) and then add 3 (8 + 3 = 11).

### Step 4: Calculate the transition from 11 to 37
Now, let's see how to go from 11 to 37:
- We multiply 11 by 3 (11 * 3 = 33) and then add 4 (33 + 4 = 37).

### Step 5: Calculate the transition from 37 to the next number
Next, we need to find the next number after 37:
- We multiply 37 by 4 (37 * 4 = 148) and then add 5 (148 + 5 = 153).

### Step 6: Compare with the series
The next number we calculated is 153, but the series has 154 instead. This indicates that 154 is incorrect.

### Step 7: Calculate the transition from the next number
Now, let's check the next number in the series:
- If we take 153, we multiply it by 5 (153 * 5 = 765) and add 6 (765 + 6 = 771), which matches the next number in the series.

### Step 8: Check the last number
Finally, we check the last number:
- If we take 771, we multiply it by 6 (771 * 6 = 4626) and add 7 (4626 + 7 = 4633), which matches the last number in the series.

### Conclusion
The odd number out in the series is 154, as the correct number should be 153.

**Final Answer:** The wrong number in the series is 154.

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