Explanation:

Let's simplify the expression step-by-step:

- Original Expression:

\(74.95 - 2.93 \times \left(\frac{39.96}{7.99} \div 0.49 \right) \div \left(\frac{9}{2.99} \right) + 15.96 \)

- Simplify Inside Parentheses:

- Divide: \(39.96 / 7.99 \approx 5\)

- \(\frac{5}{0.49} \approx 10.2\)

- Expression becomes: \(74.95 - 2.93 \times 10.2 \div (9 / 2.99) + 15.96 \)

- Simplify Division of Fractions:

- \(\frac{9}{2.99} \approx 3\)

- Expression becomes: \(74.95 - 2.93 \times 10.2 / 3 + 15.96 \)

- Finalize Multiplication and Division:

- \(2.93 \times 10.2 \approx 30\)

- \(30 / 3 = 10\)

- Expression becomes: \(74.95 - 10 + 15.96 \)

- Final Calculation:

- \(74.95 - 10 = 64.95\)

- \(64.95 + 15.96 = 80.91\)

- Approximate to 81

- Choose the Answer:

- Option:1, 81

- Option:2, 90

- Option:3, 100

- Option:4, 71

- Option:5, 85

Hence, the correct answer is Option:1 - 81.