In each of the following number series only one Is wrong . Find out the wrong number in the given number series
2 3 8 31 154 924 6460

Options

A. 924
B. 6460
C. 154
D. 8

Answer

To find the wrong number in the series: 2, 3, 8, 31, 154, 924, 6460, we will analyze the pattern step by step.

### Step 1: Identify the pattern
Let's look at how each number relates to the previous one in the series.

- From 2 to 3:
\[ 2 \times 2 - 1 = 3 \]

- From 3 to 8:
\[ 3 \times 3 - 1 = 8 \]

- From 8 to 31:
\[ 8 \times 4 - 1 = 31 \]

### Step 2: Continue the pattern
Now we will continue this pattern to see if it holds for the next numbers.

- From 31 to 154:
\[ 31 \times 5 - 1 = 155 - 1 = 154 \]

- From 154 to 924:
\[ 154 \times 6 - 1 = 924 - 1 = 923 \]

### Step 3: Check the last number
Now, we will check the last number in the series:

- From 924 to 6460:
\[ 924 \times 7 - 1 = 6468 - 1 = 6467 \]

### Step 4: Identify the wrong number
Now, we have identified that the number we should have after 154 should be 923 (not 924) and the next number should be 6467 (not 6460).

Thus, the wrong number in the series is **924**.

### Final Answer
The wrong number in the series is **924**.

---