What will come in place of the question mark ( ?) in each of the following number series ?
`3" "22" "?" "673" "2696" "8093`

Options

A. 133
B. 155
C. 156
D. 134

Answer

To solve the number series: 3, 22, ?, 673, 2696, 8093, we need to identify the pattern in the series.

### Step-by-Step Solution:

1. **Identify the relationship between the numbers:**
- Start with the first two numbers: 3 and 22.
- Notice that \( 3 \times 7 + 1 = 22 \).

2. **Determine the next number in the series:**
- We need to find the number that comes after 22, which we will denote as \( x \).
- If we follow a similar pattern, we can try \( 22 \times 6 + 1 \) to see if it leads us to the next number.
- Calculate: \( 22 \times 6 = 132 \) and \( 132 + 1 = 133 \).
- So, \( x = 133 \).

3. **Verify the pattern with the next number:**
- Now, check if this pattern holds for the next number in the series, which is 673.
- We will check if \( 133 \times 5 + 1 \) equals 673.
- Calculate: \( 133 \times 5 = 665 \) and \( 665 + 1 = 666 \).
- This does not equal 673, so we need to adjust our approach.

4. **Re-evaluate the pattern:**
- Let's try adding 2 instead of 1 after multiplying.
- So, \( 22 \times 6 + 2 = 134 \).
- Now, check if \( 134 \times 5 + 3 \) equals 673.
- Calculate: \( 134 \times 5 = 670 \) and \( 670 + 3 = 673 \).
- This works!

5. **Continue the pattern to confirm:**
- Now, check the next number: \( 673 \times 4 + 4 \).
- Calculate: \( 673 \times 4 = 2692 \) and \( 2692 + 4 = 2696 \).
- This also holds true.

6. **Final verification:**
- Finally, check the last number: \( 2696 \times 3 + 5 \).
- Calculate: \( 2696 \times 3 = 8088 \) and \( 8088 + 5 = 8093 \).
- This confirms our pattern.

### Conclusion:
The missing number in the series is **134**.