Directions: What will come in the place of question mark in following number series?
2,?,30,210,1890

Options

A. 2
B. 6
C. 4
D. 5

Answer

To solve the number series: 2, ?, 30, 210, 1890, we need to identify the pattern in the series.

### Step-by-Step Solution:

1. **Identify the given numbers**: The series starts with 2, followed by a question mark, then 30, 210, and 1890.

2. **Analyze the relationship between the known numbers**:
- We see that 30 is the next number after the question mark and before 210.
- Let's look at how 30 relates to 210:
- \( 30 \times 7 = 210 \)
- Now, let's see how 210 relates to 1890:
- \( 210 \times 9 = 1890 \)

3. **Establish a pattern**:
- We notice that the multipliers are increasing by 2 (from 7 to 9).
- If we continue this pattern backward, we can deduce the multiplier for the number before 30:
- The multiplier before 7 should be 5 (since it follows the pattern of odd numbers: 5, 7, 9).

4. **Calculate the missing number**:
- If we denote the missing number as \( x \), we can set up the equation:
- \( x \times 5 = 30 \)
- Solving for \( x \):
- \( x = \frac{30}{5} = 6 \)

5. **Conclusion**:
- The missing number in the series is 6.

### Final Answer:
The number that comes in place of the question mark is **6**.

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