Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2023 (19.12.2023) Shift-II
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 — In this code 729 becomes 1000, so the answer is 1000.
Explanation
★In this code 729 becomes 1000, so the answer is 1000.
★Each number is written as a cube: 1000 is 10 cubed and 125 is 5 cubed.
★The code takes the cube root, adds 1, then cubes the result.
★For 1000, 10 plus 1 is 11, and 11 cubed is 1331.
★For 125, 5 plus 1 is 6, and 6 cubed is 216.
★For 729, which is 9 cubed, 9 plus 1 is 10, and 10 cubed is 1000.
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