The correct option is A 63 792 1=791, 791 7=784, 784 19=765, 765 37=728, 728 61=667, #160; 667 91=576, 576 127=449, 449 169=280, 280 217=63 ...

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792

Question

$792$

62

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61

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63

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60

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Solution

The correct option is A $63$
$792 - 1 = 791, 791 - 7 = 784, 784 - 19 = 765, 765 - 37 = 728, 728 - 61 = 667,$
$667 - 91 = 576, 576 - 127 = 449, 449 - 169 = 280, 280 - 217 = 63$
$63$ is the number to be subtracted from $792$ to make it a perfect cube.
$∴$ $792 - 63 = 729$ is the perfect cube.
$∴$ The corresponding cube root is $\sqrt[3]{729} = 9.$ .

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