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`a, b, c` are positive integers froming an increasing `G.P`. whose common ratio is rational number, `b - a` is cube of natural number and `log_(6)a + log_(6)b + log_(6)c = 6` then `a + b + c` is divisible byA. `3`B. `5`C. `7`D. `9` |
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Answer» Correct Answer - A::C::D `log_(6)a + log_(6)b + log_(6)c = 6` `:. abc = 6^(6) rArr b^(3) = 6^(6)` `b - a` is cube of a natural number `b = 36, a = 9, c = 144` `a + b + c = 169` which is divisible by `3` & `7`. |
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