Question : The value of $\frac{427 \times 427 \times 427+325 \times 325 \times 325}{42.7 \times 42.7+32.5 \times 32.5-42.7 \times 32.5}$ is:
Option 1: 75.2
Option 2: 752
Option 3: 75200
Option 4: 7520
Correct Answer: 75200
Solution :
$\frac{427 \times 427 \times 427+325 \times 325 \times 325}{42.7 \times 42.7+32.5 \times 32.5-42.7 \times 32.5}$
= $\frac{(42.7 \times 42.7+32.5 \times 32.5-42.7 \times 32.5)(42.7+32.5)(10^3)}{42.7 \times 42.7+32.5 \times 32.5-42.7 \times 32.5}$
= $75.2 × 10^3$
= $75200$
Hence, the correct answer is 75200.
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