if a3b abc 180 and a b c are positive integers..., Numbers, General Mathematics

Question:If `a^3b` = abc = 180 and a, b, c are positive integers, then the value of c is :

A 110 
B 25 
C 15 
D None

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+ AnswerD

+ ExplanationSince a , b, c are positive integer and 180 is not divisible by any of `2^3 , 3^3, 4^5` and `5^3`.

So , `a^3b ` = 180 is possible only when `a^3` = 1 and b = 180.

`:.`a = 1 and b = 180.

Now `a^3b ` = abc =>c = `a^2` = 1.

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