Which of the following interchange of signs would make the equation correct?
`5+3xx8-12-:4=13`
निम्नलिखित में से किन चिह्नों को आपस में बदलने से समीकरण सही हो जाएगी?
`5+3xx8-12-:4=3`

Options

A. `- and -:`
B. `+ and x`
C. `+ and -:`
D. `+ and -`

Explanation

To solve the equation `5 + 3 × 8 - 12 ÷ 4 = 3` and determine which interchange of signs would make it correct, we will analyze the equation step by step.

### Step-by-Step Solution:

1. **Identify the Original Equation:**
The original equation is:
\[ 5 + 3 \times 8 - 12 \div 4 = 3 \]

2. **Calculate the Left Side of the Equation:**
We will follow the BODMAS rule (Brackets, Orders, Division and Multiplication, Addition and Subtraction) to evaluate the left side of the equation.
- First, perform the multiplication and division from left to right:
\[ 3 \times 8 = 24 \]
\[ 12 \div 4 = 3 \]
- Now substitute these values back into the equation:
\[ 5 + 24 - 3 \]

3. **Perform Addition and Subtraction:**
- Now, calculate:
\[ 5 + 24 = 29 \]
\[ 29 - 3 = 26 \]
- So, the left side evaluates to 26:
\[ 26 \neq 3 \]

4. **Determine the Required Interchange of Signs:**
We need to find which signs to interchange to make the equation true. Let's try changing the minus sign (-) to division (÷) and the division sign (÷) to minus (-).

- Changing the equation gives:
\[ 5 + 3 \times 8 \div 12 - 4 \]

5. **Recalculate with New Signs:**
- Now, evaluate the new left side:
- First, perform the multiplication and division:
\[ 3 \times 8 = 24 \]
\[ 24 \div 12 = 2 \]
- Substitute back into the equation:
\[ 5 + 2 - 4 \]
- Now, calculate:
\[ 5 + 2 = 7 \]
\[ 7 - 4 = 3 \]
- Now the left side equals 3:
\[ 3 = 3 \]

6. **Conclusion:**
By interchanging the minus sign (-) with division (÷) and the division sign (÷) with minus (-), we have made the equation correct.

### Final Answer:
Interchange the signs: change `-` to `÷` and `÷` to `-`.

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