Explanation:

Let's examine each option to determine which interchange of signs makes the equation correct:

- Original equation: $12+6\times 4-6÷3=5$

1. Interchanging $-$ and $÷$:

- New equation: $12+6\times 4÷6-3$

- Simplify: $12+6\times \frac{4}{6}-3$

- Result: This does not equal 5.

2. Interchanging $+$ and $÷$:

- New equation: $12÷6\times 4-6+3$

- Simplify: $2\times 4-6+3=8-6+3=5$

- This satisfies the equation.

3. Interchanging $\times$ and $+$:

- New equation: $12\times 6+4-6÷3$

- Result: This does not equal 5.

4. Interchanging $÷$ and $\times$:

- New equation: $12+6÷4\times 6-3$

- Result: This does not equal 5.

Correct answer: Option 2 - $+$ and $÷$