${18.02}^2+\sqrt[3]{2197.03}=?\times 17.2-3.02$

What approximate value will come in place of question mark (?) in the following questions? (You are not expected to calculate the exact value)

The correct answer is Option 20 (or 20).

To find the approximate value of the question mark (?), let us approximate each term in the given mathematical equation to its nearest whole number or easy-to-calculate value.

Given equation:

${18.02}^2+\sqrt[3]{2197.03}=?\times 17.2-3.02$

Step 1: Approximate individual numbers

$18.02\approx 18$

$2197.03\approx 2197$

$17.2\approx 17$

$3.02\approx 3$

Step 2: Evaluate powers and roots

Square of 18:

${18}^2=324$

Cube root of 2197:

Since 13³ = 13 × 13 × 13 = 2197, we have:

$\sqrt[3]{2197}=13$

Step 3: Substitute the approximate values into the equation

$324+13=?\times 17-3$

Step 4: Solve for (?)

Add the numbers on the left-hand side:

$337=?\times 17-3$

Add 3 to both sides:

$337+3=?\times 17$

$340=?\times 17$

Divide by 17:

$?=\frac{340}{17}$

$?=20$

Thus, the approximate value that comes in place of the question mark (?) is 20.