What will come in the place of the question mark ‘?’ in the following question?

$3\times ?÷9=\sqrt[3]{729}\times \sqrt{121}$

The correct option is 297.

To find the value of the question mark ‘?’, let us represent it with the variable x. The given equation is:

$3\times x÷9=\sqrt[3]{729}\times \sqrt{121}$

Step 1: Simplify the right-hand side of the equation.

First, evaluate the cube root of 729:

$\sqrt[3]{729}=9$

Next, evaluate the square root of 121:

$\sqrt{121}=11$

Now, multiply these values together:

$9\times 11=99$

Step 2: Simplify the left-hand side of the equation.

Express the division as a fraction:

$\frac{3\times x}{9}=\frac{x}{3}$

Step 3: Solve for x.

Equate the simplified left-hand side to the right-hand side:

$\frac{x}{3}=99$

Multiply both sides by 3 to isolate x:

$x=99\times 3$

$x=297$

Thus, the value that should replace the question mark is 297.