What will come in place of question mark (?) in the given numbers series ?
11 12 20 29 93 ?

Options

A. 104
B. 116
C. 108
D. 118

Answer

To find the missing number in the series 11, 12, 20, 29, 93, ?, we will analyze the differences between the consecutive numbers and identify a pattern.

### Step 1: Identify the differences between consecutive numbers
- From 11 to 12:
\( 12 - 11 = 1 \)
- From 12 to 20:
\( 20 - 12 = 8 \)
- From 20 to 29:
\( 29 - 20 = 9 \)
- From 29 to 93:
\( 93 - 29 = 64 \)

So, the differences are:
1, 8, 9, 64

### Step 2: Analyze the differences
Now, let's look at the differences we calculated:
1, 8, 9, 64

We can see that:
- \( 1 = 1^2 \)
- \( 8 = 2^3 \)
- \( 9 = 3^2 \)
- \( 64 = 4^3 \)

### Step 3: Identify the pattern
The pattern alternates between squares and cubes:
- The first difference is \( 1^2 \)
- The second difference is \( 2^3 \)
- The third difference is \( 3^2 \)
- The fourth difference is \( 4^3 \)

Following this pattern, the next difference should be \( 5^2 \).

### Step 4: Calculate the next difference
Now, calculate \( 5^2 \):
- \( 5^2 = 25 \)

### Step 5: Add the next difference to the last number in the series
Now we add this difference to the last number in the series (93):
- \( 93 + 25 = 118 \)

### Conclusion
Thus, the number that will come in place of the question mark (?) is **118**.

### Final Answer
The answer is **118**.