Question

What is the value of \( \frac{4 \times (2.83)^2 - 3 \times 2.96 \times 2.22}{(2 - 0.78) \times (5.05)} \)?

• A. \( \frac{1}{2} \)
• B. \( 1 \)
• C. \( \frac{3}{2} \)
• D. \( 2 \)

Hint:

Keep at least two decimal places for accuracy when performing intermediate calculations.

Answer 1

The Correct Option is D

First calculate numerator: \( 4 \times (2.83)^2 = 4 \times 8.0089 = 32.0356 \) \( 3 \times 2.96 \times 2.22 = 19.6848 \) So numerator ≈ \( 32.0356 - 19.6848 = 12.3508 \) Denominator: \( (2 - 0.78) \times 5.05 = 1.22 \times 5.05 = 6.161 \) Now, \( \frac{12.3508}{6.161} \approx 2 \)