Discussion
In a certain code language, 'X' is coded as '1728' and 'T' is coded as '1000'. How will 'V' be coded in that language?
Answer: A
V is coded as 1331.
X is the 24th letter and 1728 = 123; T is the 20th letter and 1000 = 103. In both cases the number is the cube of half the position of the letter (24/2 = 12 and 20/2 = 10). V is the 22nd letter, so its code is the cube of 11, which is 1331.
1464, 1672 and 1286 are not perfect cubes, so they cannot follow the rule.
Check with the letter T: it is the 20th letter, half of 20 is 10 and 103 is 1000, which is the given code. Check with X: it is the 24th letter, half of 24 is 12 and 123 is 1728, the other given code. The rule works for both, so it applies to V as well.
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