Question : The value of $\frac{0.7 \times 0.7 \times 0.7 + 0.3 \times 0.3 \times 0.3}{0.7 \times 0.7 - 0.7 \times 0.3 + 0.3 \times 0.3}$ is_____.
Option 1: 2
Option 2: 1
Option 3: 3
Option 4: – 1

Question

Question : What is the value of $\frac{(1.2)^{3} + (0.8)^{3} + (0.7)^{3} - 2.016}{(1.35) [(1.2)^{2} + (0.8)^{2} + (0.7)^{2} - 0.96 - 0.84 - 0.56]} ?$

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Answer 1

Correct Answer: 1

Solution : $\frac{0.7 \times 0.7 \times 0.7 + 0.3 \times 0.3 \times 0.3}{0.7 \times 0.7 - 0.7 \times 0.3 + 0.3 \times 0.3}$
= $\frac{(0.7)^{3} + (0.3)^{3}}{(0.7)^{2} - 0.7 \times 0.3 + (0.3)^{2}}$
= $\frac{(0.7 + 0.3) ((0.7)^{2} - 0.7 \times 0.3 + (0.3)^{2})}{(0.7)^{2} - 0.7 \times 0.3 + (0.3)^{2}}$
= $0.7 + 0.3$
= $1$
Hence, the correct answer is $1$ .

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Question : The value of 0.7×0.7×0.7+0.3×0.3×0.30.7×0.7−0.7×0.3+0.3×0.3 is_____.Option 1: 2Option 2: 1Option 3: 3Option 4: – 1

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Question : The value of $\frac{0.7 \times 0.7 \times 0.7 + 0.3 \times 0.3 \times 0.3}{0.7 \times 0.7 - 0.7 \times 0.3 + 0.3 \times 0.3}$ is_____.
Option 1: 2
Option 2: 1
Option 3: 3
Option 4: – 1