What will come in place of question mark (? ) in the following number series ?
`3" " 6 " " 19 " " ? " " 393 " " 2362 `

Options

A. 76
B. 78
C. 77
D. 74

Answer

To solve the given number series: `3, 6, 19, ?, 393, 2362`, we need to identify the pattern in the series.

### Step 1: Analyze the pattern
Let's look at the first few numbers and see how they relate to each other.

1. From 3 to 6:
- \(3 \times 2 + 0 = 6\)

2. From 6 to 19:
- \(6 \times 3 + 1 = 19\)

Now we can observe that there is a pattern where each number is multiplied by an increasing integer and then added to an increasing integer.

### Step 2: Continue the pattern
Next, we need to find the number that comes after 19.

3. From 19 to the unknown number (?):
- We can assume the pattern continues, so we multiply 19 by 4 and add 2:
- \(19 \times 4 + 2 = 76\)

### Step 3: Verify the next part of the series
Now, let's check if this pattern holds for the next number in the series.

4. From the unknown number (76) to 393:
- \(76 \times 5 + 3 = 393\)

5. From 393 to 2362:
- \(393 \times 6 + 4 = 2362\)

### Conclusion
The number that comes in place of the question mark (?) is **76**.

### Final Answer
The answer is **76**.

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