What will come in place of question mark (?) in the following series questions?
30,90,360,1800,10800,?

Options

A. A)54000
B. B)73200
C. C)72800
D. D)75600

Answer

To find the missing term in the series: 30, 90, 360, 1800, 10800, ?, we can analyze the pattern of multiplication between consecutive terms.

### Step-by-Step Solution:

1. **Identify the terms in the series**:
- First term (T1) = 30
- Second term (T2) = 90
- Third term (T3) = 360
- Fourth term (T4) = 1800
- Fifth term (T5) = 10800
- Sixth term (T6) = ?

2. **Determine the multiplication pattern between terms**:
- From T1 to T2:
\[ T2 = T1 \times 3 \implies 90 = 30 \times 3 \]
- From T2 to T3:
\[ T3 = T2 \times 4 \implies 360 = 90 \times 4 \]
- From T3 to T4:
\[ T4 = T3 \times 5 \implies 1800 = 360 \times 5 \]
- From T4 to T5:
\[ T5 = T4 \times 6 \implies 10800 = 1800 \times 6 \]

3. **Continue the pattern to find the sixth term**:
- From T5 to T6:
\[ T6 = T5 \times 7 \implies T6 = 10800 \times 7 \]

4. **Calculate T6**:
\[ T6 = 10800 \times 7 = 75600 \]

Thus, the missing term in the series is **75600**.

### Final Answer:
The value that comes in place of the question mark (?) is **75600**.

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