Directions (36 -40):What approximate value should come in the place of question (?) mark.

? + 125.03 % of 239.99 – ${\left(5.99\right)}^3$ = ${\left(11.93\right)}^2$

The correct option is 60.

We need to find the approximate value of the question mark (?) in the following equation:

$?+125.03\%\text{ of }239.99-{\left(5.99\right)}^3={\left(11.93\right)}^2$

Step 1: Round off the numbers to their nearest integers to approximate the calculation.

• 125.03% can be approximated to 125%
• 239.99 can be approximated to 240
• 5.99 can be approximated to 6
• 11.93 can be approximated to 12

Step 2: Rewrite the equation using the approximated values:

$?+125\%\text{ of }240-6^3={12}^2$

Step 3: Calculate each term in the equation:

• 125% of 240 = $\frac{125}{100}\times 240=\frac{5}{4}\times 240=300$
• $6^3=216$
• ${12}^2=144$

Step 4: Substitute these values back into the equation:

$?+300-216=144$

$?+84=144$

$?=144-84$

$?=60$

Thus, the approximate value that should come in the place of the question mark is 60.