What is the pattern in the 2x2 grid samples and how can it be used to find the missing numbers?

The problem asks us to find the missing numbers in the given diagrams based on a pattern observed in the provided samples.

Let's denote the numbers in each 2x2 grid as follows:

$$\begin{bmatrix} A & B \\ C & D \end{bmatrix}$$

We need to find a consistent pattern from the "Samples".

• Sample 1: $$\begin{bmatrix} 5 & 1 \\ 10 & 5 \end{bmatrix}$$ Here, $A=5, B=1, C=10, D=5$. Let's test some relationships: $A \times D = 5 \times