What will come in place of question mark (?) in the following series questions?
1,8,27,?,125,216

Options

A. A)68
B. B)66
C. C)62
D. D)64

Answer

To find the missing term in the series 1, 8, 27, ?, 125, 216, we can follow these steps:

### Step 1: Identify the pattern in the series
The given series is: 1, 8, 27, ?, 125, 216.

### Step 2: Recognize the numbers as cubes
Let's express the known numbers in the series as cubes:
- 1 = \(1^3\)
- 8 = \(2^3\)
- 27 = \(3^3\)
- 125 = \(5^3\)
- 216 = \(6^3\)

### Step 3: Determine the missing term
From the pattern identified, we can see that the series consists of perfect cubes of consecutive integers:
- The first term is \(1^3\)
- The second term is \(2^3\)
- The third term is \(3^3\)
- The fourth term (missing) should be \(4^3\)
- The fifth term is \(5^3\)
- The sixth term is \(6^3\)

### Step 4: Calculate \(4^3\)
Now, we calculate \(4^3\):
\[ 4^3 = 4 \times 4 \times 4 = 64 \]

### Step 5: Conclusion
The missing term in the series is 64.

### Final Answer
The answer is 64.

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