In a certain coding language, 1000 (i.e. 10 cubed) is coded as 1331 and 125 (i.e. 5 cubed) is coded as 216. How will 729 be coded in that language?

A1000 ✓ Correct

B1728

C1331

D2197

Correct answer: (A) 1000

Explanation

729 is coded as 1000.

1000 is 10 cubed, coded as 11 cubed = 1331, base + 1.

125 is 5 cubed, coded as 6 cubed = 216, again base + 1.

729 is 9 cubed, so add 1 to the base: 10 cubed.

10 cubed = 1000.

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