In the following number of series a wrong number is given. Find out the wrong number.
3,4,10,30,136,685,4116.

Options

A. 685
B. 30
C. 4
D. 136

Answer

To find the wrong number in the series 3, 4, 10, 30, 136, 685, 4116, we will analyze the pattern of the series step by step.

### Step 1: Identify the pattern
We start by examining how each number relates to the previous one.

1. From 3 to 4:
\[ 3 \times 1 + 1 = 4 \]

2. From 4 to 10:
\[ 4 \times 2 + 2 = 10 \]

3. From 10 to 30:
\[ 10 \times 3 + 3 = 30 \]

4. From 30 to 136:
\[ 30 \times 4 + 4 = 120 + 4 = 124 \quad (\text{This is incorrect, as it should equal 136}) \]

5. From 136 to 685:
\[ 136 \times 5 + 5 = 680 + 5 = 685 \]

6. From 685 to 4116:
\[ 685 \times 6 + 6 = 4110 + 6 = 4116 \]

### Step 2: Identify the incorrect number
From our calculations, we see that the transition from 30 to 136 does not follow the established pattern. The calculation should yield 124 instead of 136. Therefore, the wrong number in the series is **30**.

### Conclusion
The wrong number in the series is **30**.

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