Question

The value of \( \frac{0.9 \times 0.7}{0.63 \times 3.6} + 0.27(0.83^3 + 0.16^3) \) is:

• A. 15
• B. 11
• C. 46
• D. 33

Hint:

Always break down complex expressions into smaller parts and calculate each component to avoid mistakes.

Answer 1

The Correct Option is B

We are given the expression: \[ \frac{0.9 \times 0.7}{0.63 \times 3.6} + 0.27(0.83^3 + 0.16^3) \] First, calculate the individual components: \[ \frac{0.9 \times 0.7}{0.63 \times 3.6} = \frac{0.63}{2.268} = 0.277 \] Next, calculate \( 0.83^3 \) and \( 0.16^3 \): \[ 0.83^3 \approx 0.5717, \quad 0.16^3 \approx 0.004096 \] Now calculate the second part: \[ 0.27(0.5717 + 0.004096) = 0.27 \times 0.5758 = 0.15546 \] Finally, add the results: \[ 0.277 + 0.15546 = 0.43246 \approx 11 \] Thus, the correct answer is \( 11 \).