What will come in place of the question mark (?) in the following numbers ?
1 ? 27 64 125

Options

A. 8
B. 4
C. 6
D. 9

Answer

To find the value that will replace the question mark (?) in the sequence 1, ?, 27, 64, 125, we need to identify a pattern in the numbers provided.

1. **Identify the known numbers**: The sequence given is 1, ?, 27, 64, 125. We can see that 27, 64, and 125 are perfect cubes:
- \(3^3 = 27\)
- \(4^3 = 64\)
- \(5^3 = 125\)

2. **Identify the first number**: The first number in the sequence is 1, which is also a perfect cube:
- \(1^3 = 1\)

3. **Determine the missing number**: The missing number (?) should logically be the cube of the next integer after 1. Since the sequence of cubes starts from 1, the next integer after 1 is 2:
- \(2^3 = 8\)

4. **Final sequence**: Therefore, the complete sequence is:
- \(1^3 = 1\)
- \(2^3 = 8\)
- \(3^3 = 27\)
- \(4^3 = 64\)
- \(5^3 = 125\)

Thus, the value that will come in place of the question mark (?) is **8**.

### Summary of Steps:
1. Recognize the pattern in the sequence as perfect cubes.
2. Identify the first number as \(1^3 = 1\).
3. Calculate the next cube, \(2^3 = 8\).
4. Conclude that the missing number is **8**.