Find the two signs to be interchanged for making the following equation correct. 9 + 6 × 3 − 9 ÷ 1 = 10

The correct answer is ÷ and −.

We are given the original equation:

$9+6\times 3-9÷1=10$

To find which pair of signs makes the equation correct, let us interchange the signs ÷ and − as per the correct option.

After interchanging ÷ and −, the Left-Hand Side (LHS) of the equation becomes:

$\text{LHS}=9+6\times 3÷9-1$

Now, solve the expression using the BODMAS / PEMDAS rule (Order of Operations):

Step 1: Perform Multiplication and Division from left to right
$6\times 3=18$
$18÷9=2$

Substitute this simplified value back into the expression:
$\text{LHS}=9+2-1$

Step 2: Perform Addition and Subtraction from left to right
$9+2=11$
$11-1=10$

Since $\text{LHS}=10$ which is equal to the Right-Hand Side ($\text{RHS}=10$), interchanging ÷ and − satisfies the equation.