What will come in place of question mark (?) in the given question?
13 14 30 93 ? 1885

Options

A. 388
B. 382
C. 356
D. 376

Answer

To solve the sequence: 13, 14, 30, 93, ?, 1885, we need to identify the pattern in the series.

### Step-by-Step Solution:

1. **Identify the Pattern:**
- The first number is 13.
- The second number is 14.
- The third number is 30.
- The fourth number is 93.
- The fifth number is unknown (denote it as ?).
- The sixth number is 1885.

2. **Finding the Relationship:**
- From 13 to 14:
- We can observe that \( 13 \times 1 + 1 = 14 \).
- From 14 to 30:
- \( 14 \times 2 + 2 = 30 \).
- From 30 to 93:
- \( 30 \times 3 + 3 = 93 \).

3. **Continuing the Pattern:**
- Now, we apply the same logic to find the unknown number (?).
- From 93 to ?:
- We will multiply 93 by 4 and then add 4.
- Calculation: \( 93 \times 4 + 4 = 372 + 4 = 376 \).

4. **Finding the Next Number:**
- Now, we need to check if this fits with the next number, 1885.
- From ? (which we found to be 376) to 1885:
- We will multiply 376 by 5 and then add 5.
- Calculation: \( 376 \times 5 + 5 = 1880 + 5 = 1885 \).

5. **Conclusion:**
- The missing number in the sequence is 376.

### Final Answer:
The number that comes in place of the question mark (?) is **376**.

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