What value will come in place of question mark (?) in the number series given below ?
`"9261 12167 ? 19683 24389"`

Options

A. 17576
B. 20025
C. 15625
D. None of these

Answer

To find the missing value in the number series: 9261, 12167, ?, 19683, 24389, we need to identify the pattern in the series.

### Step-by-Step Solution:

1. **Identify the Numbers**: The given numbers are 9261, 12167, ?, 19683, and 24389.

2. **Check for Perfect Cubes**: We will check if these numbers are perfect cubes. The cube of a number \( n \) is given by \( n^3 \).

3. **Calculate Cube Roots**:
- \( 9261 = 21^3 \) (since \( 21 \times 21 \times 21 = 9261 \))
- \( 12167 = 23^3 \) (since \( 23 \times 23 \times 23 = 12167 \))
- The next number in the series should be \( 25^3 \).
- \( 19683 = 27^3 \) (since \( 27 \times 27 \times 27 = 19683 \))
- \( 24389 = 29^3 \) (since \( 29 \times 29 \times 29 = 24389 \))

4. **Calculate \( 25^3 \)**:
- Now we need to find \( 25^3 \).
- \( 25^3 = 25 \times 25 \times 25 = 625 \times 25 = 15625 \).

5. **Conclusion**: The missing number in the series is \( 15625 \).

### Final Answer:
The value that will come in place of the question mark (?) is **15625**.

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