What will be come in place of the question mark (?) in the following number series
13 14 30 93 ? 1885

Options

A. 358
B. 336
C. 364
D. 376

Answer

To find the missing number in the series: 13, 14, 30, 93, ?, 1885, we will analyze the pattern in the series step by step.

### Step 1: Identify the pattern
We start with the first two numbers:
- From 13 to 14:
- \( 13 \times 1 + 1 = 14 \)

### Step 2: Continue the pattern
Next, we look at the transition from 14 to 30:
- From 14 to 30:
- \( 14 \times 2 + 2 = 28 + 2 = 30 \)

### Step 3: Analyze the next transition
Now, we check the transition from 30 to 93:
- From 30 to 93:
- \( 30 \times 3 + 3 = 90 + 3 = 93 \)

### Step 4: Apply the pattern to find the missing number
Now we need to find the missing number after 93:
- From 93 to ?:
- We will use the next multiplier, which is 4:
- \( 93 \times 4 + 4 = 372 + 4 = 376 \)

### Step 5: Verify the next transition
Finally, we check the transition from the missing number (376) to 1885:
- From 376 to 1885:
- \( 376 \times 5 + 5 = 1880 + 5 = 1885 \)

### Conclusion
The missing number in the series is **376**.