Select the related word/ letters/ number from the given alternaives:
4:20::8:?

Options

A. 74
B. 70
C. 72
D. 78

Explanation

To solve the problem 4:20::8:?, we need to identify the relationship between the numbers in the first pair (4 and 20) and then apply the same relationship to the second number (8) to find the unknown value.

### Step-by-Step Solution:

1. **Identify the relationship between 4 and 20:**
- We can express 20 in terms of 4.
- Notice that \(20 = 4^2 + 4\).
- Here, \(4^2\) is \(16\) and adding \(4\) gives us \(20\).

2. **Apply the same relationship to 8:**
- Now, we need to find the corresponding value for 8 using the same formula.
- Calculate \(8^2 + 8\).
- First, find \(8^2\):
\[ 8^2 = 64 \]
- Now, add \(8\) to \(64\):
\[ 64 + 8 = 72 \]

3. **Conclusion:**
- Therefore, the value that corresponds to 8 is \(72\).
- Thus, the answer is \(72\).

### Final Answer:
8:72